---
_id: '14451'
abstract:
- lang: eng
text: 'We investigate the potential of Multi-Objective, Deep Reinforcement Learning
for stock and cryptocurrency single-asset trading: in particular, we consider
a Multi-Objective algorithm which generalizes the reward functions and discount
factor (i.e., these components are not specified a priori, but incorporated in
the learning process). Firstly, using several important assets (BTCUSD, ETHUSDT,
XRPUSDT, AAPL, SPY, NIFTY50), we verify the reward generalization property of
the proposed Multi-Objective algorithm, and provide preliminary statistical evidence
showing increased predictive stability over the corresponding Single-Objective
strategy. Secondly, we show that the Multi-Objective algorithm has a clear edge
over the corresponding Single-Objective strategy when the reward mechanism is
sparse (i.e., when non-null feedback is infrequent over time). Finally, we discuss
the generalization properties with respect to the discount factor. The entirety
of our code is provided in open-source format.'
acknowledgement: Open access funding provided by Università degli Studi di Trieste
within the CRUI-CARE Agreement. Funding was provided by Austrian Science Fund (Grant
No. F65), Horizon 2020 (Grant No. 754411) and Österreichische Forschungsförderungsgesellschaft.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Federico
full_name: Cornalba, Federico
id: 2CEB641C-A400-11E9-A717-D712E6697425
last_name: Cornalba
orcid: 0000-0002-6269-5149
- first_name: Constantin
full_name: Disselkamp, Constantin
last_name: Disselkamp
- first_name: Davide
full_name: Scassola, Davide
last_name: Scassola
- first_name: Christopher
full_name: Helf, Christopher
last_name: Helf
citation:
ama: 'Cornalba F, Disselkamp C, Scassola D, Helf C. Multi-objective reward generalization:
improving performance of Deep Reinforcement Learning for applications in single-asset
trading. Neural Computing and Applications. 2023. doi:10.1007/s00521-023-09033-7'
apa: 'Cornalba, F., Disselkamp, C., Scassola, D., & Helf, C. (2023). Multi-objective
reward generalization: improving performance of Deep Reinforcement Learning for
applications in single-asset trading. Neural Computing and Applications.
Springer Nature. https://doi.org/10.1007/s00521-023-09033-7'
chicago: 'Cornalba, Federico, Constantin Disselkamp, Davide Scassola, and Christopher
Helf. “Multi-Objective Reward Generalization: Improving Performance of Deep Reinforcement
Learning for Applications in Single-Asset Trading.” Neural Computing and Applications.
Springer Nature, 2023. https://doi.org/10.1007/s00521-023-09033-7.'
ieee: 'F. Cornalba, C. Disselkamp, D. Scassola, and C. Helf, “Multi-objective reward
generalization: improving performance of Deep Reinforcement Learning for applications
in single-asset trading,” Neural Computing and Applications. Springer Nature,
2023.'
ista: 'Cornalba F, Disselkamp C, Scassola D, Helf C. 2023. Multi-objective reward
generalization: improving performance of Deep Reinforcement Learning for applications
in single-asset trading. Neural Computing and Applications.'
mla: 'Cornalba, Federico, et al. “Multi-Objective Reward Generalization: Improving
Performance of Deep Reinforcement Learning for Applications in Single-Asset Trading.”
Neural Computing and Applications, Springer Nature, 2023, doi:10.1007/s00521-023-09033-7.'
short: F. Cornalba, C. Disselkamp, D. Scassola, C. Helf, Neural Computing and Applications
(2023).
date_created: 2023-10-22T22:01:16Z
date_published: 2023-10-05T00:00:00Z
date_updated: 2023-10-31T10:58:28Z
day: '05'
department:
- _id: JuFi
doi: 10.1007/s00521-023-09033-7
ec_funded: 1
external_id:
arxiv:
- '2203.04579'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s00521-023-09033-7
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Neural Computing and Applications
publication_identifier:
eissn:
- 1433-3058
issn:
- 0941-0643
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Multi-objective reward generalization: improving performance of Deep Reinforcement
Learning for applications in single-asset trading'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14554'
abstract:
- lang: eng
text: 'The Regularised Inertial Dean–Kawasaki model (RIDK) – introduced by the authors
and J. Zimmer in earlier works – is a nonlinear stochastic PDE capturing fluctuations
around the meanfield limit for large-scale particle systems in both particle density
and momentum density. We focus on the following two aspects. Firstly, we set up
a Discontinuous Galerkin (DG) discretisation scheme for the RIDK model: we provide
suitable definitions of numerical fluxes at the interface of the mesh elements
which are consistent with the wave-type nature of the RIDK model and grant stability
of the simulations, and we quantify the rate of convergence in mean square to
the continuous RIDK model. Secondly, we introduce modifications of the RIDK model
in order to preserve positivity of the density (such a feature only holds in a
“high-probability sense” for the original RIDK model). By means of numerical simulations,
we show that the modifications lead to physically realistic and positive density
profiles. In one case, subject to additional regularity constraints, we also prove
positivity. Finally, we present an application of our methodology to a system
of diffusing and reacting particles. Our Python code is available in open-source
format.'
acknowledgement: "The authors thank the anonymous referees for their careful reading
of the manuscript and their\r\nvaluable suggestions. FC gratefully acknowledges
funding from the Austrian Science Fund (FWF) through the project F65, and from the
European Union’s Horizon 2020 research and innovation programme under the Marie
Sk lodowska-Curie grant agreement No. 754411 (the latter funding source covered
the first part of this project)."
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Federico
full_name: Cornalba, Federico
id: 2CEB641C-A400-11E9-A717-D712E6697425
last_name: Cornalba
orcid: 0000-0002-6269-5149
- first_name: Tony
full_name: Shardlow, Tony
last_name: Shardlow
citation:
ama: 'Cornalba F, Shardlow T. The regularised inertial Dean’ Kawasaki equation:
Discontinuous Galerkin approximation and modelling for low-density regime. ESAIM:
Mathematical Modelling and Numerical Analysis. 2023;57(5):3061-3090. doi:10.1051/m2an/2023077'
apa: 'Cornalba, F., & Shardlow, T. (2023). The regularised inertial Dean’ Kawasaki
equation: Discontinuous Galerkin approximation and modelling for low-density regime.
ESAIM: Mathematical Modelling and Numerical Analysis. EDP Sciences. https://doi.org/10.1051/m2an/2023077'
chicago: 'Cornalba, Federico, and Tony Shardlow. “The Regularised Inertial Dean’
Kawasaki Equation: Discontinuous Galerkin Approximation and Modelling for Low-Density
Regime.” ESAIM: Mathematical Modelling and Numerical Analysis. EDP Sciences,
2023. https://doi.org/10.1051/m2an/2023077.'
ieee: 'F. Cornalba and T. Shardlow, “The regularised inertial Dean’ Kawasaki equation:
Discontinuous Galerkin approximation and modelling for low-density regime,” ESAIM:
Mathematical Modelling and Numerical Analysis, vol. 57, no. 5. EDP Sciences,
pp. 3061–3090, 2023.'
ista: 'Cornalba F, Shardlow T. 2023. The regularised inertial Dean’ Kawasaki equation:
Discontinuous Galerkin approximation and modelling for low-density regime. ESAIM:
Mathematical Modelling and Numerical Analysis. 57(5), 3061–3090.'
mla: 'Cornalba, Federico, and Tony Shardlow. “The Regularised Inertial Dean’ Kawasaki
Equation: Discontinuous Galerkin Approximation and Modelling for Low-Density Regime.”
ESAIM: Mathematical Modelling and Numerical Analysis, vol. 57, no. 5, EDP
Sciences, 2023, pp. 3061–90, doi:10.1051/m2an/2023077.'
short: 'F. Cornalba, T. Shardlow, ESAIM: Mathematical Modelling and Numerical Analysis
57 (2023) 3061–3090.'
date_created: 2023-11-19T23:00:55Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2023-11-20T08:38:47Z
day: '01'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1051/m2an/2023077
ec_funded: 1
file:
- access_level: open_access
checksum: 3aef1475b1882c8dec112df9a5167c39
content_type: application/pdf
creator: dernst
date_created: 2023-11-20T08:34:57Z
date_updated: 2023-11-20T08:34:57Z
file_id: '14560'
file_name: 2023_ESAIM_Cornalba.pdf
file_size: 1508534
relation: main_file
success: 1
file_date_updated: 2023-11-20T08:34:57Z
has_accepted_license: '1'
intvolume: ' 57'
issue: '5'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 3061-3090
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 'ESAIM: Mathematical Modelling and Numerical Analysis'
publication_identifier:
eissn:
- 2804-7214
issn:
- 2822-7840
publication_status: published
publisher: EDP Sciences
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/tonyshardlow/RIDK-FD
scopus_import: '1'
status: public
title: 'The regularised inertial Dean'' Kawasaki equation: Discontinuous Galerkin
approximation and modelling for low-density regime'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2023'
...
---
_id: '10551'
abstract:
- lang: eng
text: 'The Dean–Kawasaki equation—a strongly singular SPDE—is a basic equation of
fluctuating hydrodynamics; it has been proposed in the physics literature to describe
the fluctuations of the density of N independent diffusing particles in the regime
of large particle numbers N≫1. The singular nature of the Dean–Kawasaki equation
presents a substantial challenge for both its analysis and its rigorous mathematical
justification. Besides being non-renormalisable by the theory of regularity structures
by Hairer et al., it has recently been shown to not even admit nontrivial martingale
solutions. In the present work, we give a rigorous and fully quantitative justification
of the Dean–Kawasaki equation by considering the natural regularisation provided
by standard numerical discretisations: We show that structure-preserving discretisations
of the Dean–Kawasaki equation may approximate the density fluctuations of N non-interacting
diffusing particles to arbitrary order in N−1 (in suitable weak metrics). In
other words, the Dean–Kawasaki equation may be interpreted as a “recipe” for accurate
and efficient numerical simulations of the density fluctuations of independent
diffusing particles.'
acknowledgement: "We thank the anonymous referee for his/her careful reading of the
manuscript and valuable suggestions. FC gratefully acknowledges funding from the
Austrian Science Fund (FWF) through the project F65, and from the European Union’s
Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No. 754411.\r\nOpen access funding provided by Austrian Science
Fund (FWF)."
article_number: '76'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Federico
full_name: Cornalba, Federico
id: 2CEB641C-A400-11E9-A717-D712E6697425
last_name: Cornalba
orcid: 0000-0002-6269-5149
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
citation:
ama: Cornalba F, Fischer JL. The Dean-Kawasaki equation and the structure of density
fluctuations in systems of diffusing particles. Archive for Rational Mechanics
and Analysis. 2023;247(5). doi:10.1007/s00205-023-01903-7
apa: Cornalba, F., & Fischer, J. L. (2023). The Dean-Kawasaki equation and the
structure of density fluctuations in systems of diffusing particles. Archive
for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-023-01903-7
chicago: Cornalba, Federico, and Julian L Fischer. “The Dean-Kawasaki Equation and
the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive
for Rational Mechanics and Analysis. Springer Nature, 2023. https://doi.org/10.1007/s00205-023-01903-7.
ieee: F. Cornalba and J. L. Fischer, “The Dean-Kawasaki equation and the structure
of density fluctuations in systems of diffusing particles,” Archive for Rational
Mechanics and Analysis, vol. 247, no. 5. Springer Nature, 2023.
ista: Cornalba F, Fischer JL. 2023. The Dean-Kawasaki equation and the structure
of density fluctuations in systems of diffusing particles. Archive for Rational
Mechanics and Analysis. 247(5), 76.
mla: Cornalba, Federico, and Julian L. Fischer. “The Dean-Kawasaki Equation and
the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive
for Rational Mechanics and Analysis, vol. 247, no. 5, 76, Springer Nature,
2023, doi:10.1007/s00205-023-01903-7.
short: F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247
(2023).
date_created: 2021-12-16T12:16:03Z
date_published: 2023-08-04T00:00:00Z
date_updated: 2024-01-30T12:10:10Z
day: '04'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s00205-023-01903-7
ec_funded: 1
external_id:
arxiv:
- '2109.06500'
isi:
- '001043086800001'
file:
- access_level: open_access
checksum: 4529eeff170b6745a461d397ee611b5a
content_type: application/pdf
creator: dernst
date_created: 2024-01-30T12:09:34Z
date_updated: 2024-01-30T12:09:34Z
file_id: '14904'
file_name: 2023_ArchiveRationalMech_Cornalba.pdf
file_size: 1851185
relation: main_file
success: 1
file_date_updated: 2024-01-30T12:09:34Z
has_accepted_license: '1'
intvolume: ' 247'
isi: 1
issue: '5'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Dean-Kawasaki equation and the structure of density fluctuations in systems
of diffusing particles
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 247
year: '2023'
...
---
_id: '9240'
abstract:
- lang: eng
text: A stochastic PDE, describing mesoscopic fluctuations in systems of weakly
interacting inertial particles of finite volume, is proposed and analysed in any
finite dimension . It is a regularised and inertial version of the Dean–Kawasaki
model. A high-probability well-posedness theory for this model is developed. This
theory improves significantly on the spatial scaling restrictions imposed in an
earlier work of the same authors, which applied only to significantly larger particles
in one dimension. The well-posedness theory now applies in d-dimensions when the
particle-width ϵ is proportional to for and N is the number of particles. This
scaling is optimal in a certain Sobolev norm. Key tools of the analysis are fractional
Sobolev spaces, sharp bounds on Bessel functions, separability of the regularisation
in the d-spatial dimensions, and use of the Faà di Bruno's formula.
acknowledgement: All authors thank the anonymous referee for his/her careful reading
of the manuscript and valuable suggestions. This paper was motivated by stimulating
discussions at the First Berlin–Leipzig Workshop on Fluctuating Hydrodynamics in
August 2019 with Ana Djurdjevac, Rupert Klein and Ralf Kornhuber. JZ gratefully
acknowledges funding by a Royal Society Wolfson Research Merit Award. FC gratefully
acknowledges funding from the European Union’s Horizon 2020 research and innovation
programme under the Marie Skłodowska-Curie grant agreement No. 754411.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Federico
full_name: Cornalba, Federico
id: 2CEB641C-A400-11E9-A717-D712E6697425
last_name: Cornalba
- first_name: Tony
full_name: Shardlow, Tony
last_name: Shardlow
- first_name: Johannes
full_name: Zimmer, Johannes
last_name: Zimmer
citation:
ama: Cornalba F, Shardlow T, Zimmer J. Well-posedness for a regularised inertial
Dean–Kawasaki model for slender particles in several space dimensions. Journal
of Differential Equations. 2021;284(5):253-283. doi:10.1016/j.jde.2021.02.048
apa: Cornalba, F., Shardlow, T., & Zimmer, J. (2021). Well-posedness for a regularised
inertial Dean–Kawasaki model for slender particles in several space dimensions.
Journal of Differential Equations. Elsevier. https://doi.org/10.1016/j.jde.2021.02.048
chicago: Cornalba, Federico, Tony Shardlow, and Johannes Zimmer. “Well-Posedness
for a Regularised Inertial Dean–Kawasaki Model for Slender Particles in Several
Space Dimensions.” Journal of Differential Equations. Elsevier, 2021. https://doi.org/10.1016/j.jde.2021.02.048.
ieee: F. Cornalba, T. Shardlow, and J. Zimmer, “Well-posedness for a regularised
inertial Dean–Kawasaki model for slender particles in several space dimensions,”
Journal of Differential Equations, vol. 284, no. 5. Elsevier, pp. 253–283,
2021.
ista: Cornalba F, Shardlow T, Zimmer J. 2021. Well-posedness for a regularised inertial
Dean–Kawasaki model for slender particles in several space dimensions. Journal
of Differential Equations. 284(5), 253–283.
mla: Cornalba, Federico, et al. “Well-Posedness for a Regularised Inertial Dean–Kawasaki
Model for Slender Particles in Several Space Dimensions.” Journal of Differential
Equations, vol. 284, no. 5, Elsevier, 2021, pp. 253–83, doi:10.1016/j.jde.2021.02.048.
short: F. Cornalba, T. Shardlow, J. Zimmer, Journal of Differential Equations 284
(2021) 253–283.
date_created: 2021-03-14T23:01:32Z
date_published: 2021-05-25T00:00:00Z
date_updated: 2023-08-07T14:08:05Z
day: '25'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1016/j.jde.2021.02.048
ec_funded: 1
external_id:
isi:
- '000634823300010'
file:
- access_level: open_access
checksum: c630b691fb9e716b02aa6103a9794ec8
content_type: application/pdf
creator: dernst
date_created: 2021-03-22T07:18:01Z
date_updated: 2021-03-22T07:18:01Z
file_id: '9267'
file_name: 2021_JourDiffEquations_Cornalba.pdf
file_size: 473310
relation: main_file
success: 1
file_date_updated: 2021-03-22T07:18:01Z
has_accepted_license: '1'
intvolume: ' 284'
isi: 1
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 253-283
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Journal of Differential Equations
publication_identifier:
eissn:
- 1090-2732
issn:
- 0022-0396
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Well-posedness for a regularised inertial Dean–Kawasaki model for slender particles
in several space dimensions
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 284
year: '2021'
...
---
_id: '7637'
abstract:
- lang: eng
text: The evolution of finitely many particles obeying Langevin dynamics is described
by Dean–Kawasaki equations, a class of stochastic equations featuring a non-Lipschitz
multiplicative noise in divergence form. We derive a regularised Dean–Kawasaki
model based on second order Langevin dynamics by analysing a system of particles
interacting via a pairwise potential. Key tools of our analysis are the propagation
of chaos and Simon's compactness criterion. The model we obtain is a small-noise
stochastic perturbation of the undamped McKean–Vlasov equation. We also provide
a high-probability result for existence and uniqueness for our model.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Federico
full_name: Cornalba, Federico
id: 2CEB641C-A400-11E9-A717-D712E6697425
last_name: Cornalba
orcid: 0000-0002-6269-5149
- first_name: Tony
full_name: Shardlow, Tony
last_name: Shardlow
- first_name: Johannes
full_name: Zimmer, Johannes
last_name: Zimmer
citation:
ama: Cornalba F, Shardlow T, Zimmer J. From weakly interacting particles to a regularised
Dean-Kawasaki model. Nonlinearity. 2020;33(2):864-891. doi:10.1088/1361-6544/ab5174
apa: Cornalba, F., Shardlow, T., & Zimmer, J. (2020). From weakly interacting
particles to a regularised Dean-Kawasaki model. Nonlinearity. IOP Publishing.
https://doi.org/10.1088/1361-6544/ab5174
chicago: Cornalba, Federico, Tony Shardlow, and Johannes Zimmer. “From Weakly Interacting
Particles to a Regularised Dean-Kawasaki Model.” Nonlinearity. IOP Publishing,
2020. https://doi.org/10.1088/1361-6544/ab5174.
ieee: F. Cornalba, T. Shardlow, and J. Zimmer, “From weakly interacting particles
to a regularised Dean-Kawasaki model,” Nonlinearity, vol. 33, no. 2. IOP
Publishing, pp. 864–891, 2020.
ista: Cornalba F, Shardlow T, Zimmer J. 2020. From weakly interacting particles
to a regularised Dean-Kawasaki model. Nonlinearity. 33(2), 864–891.
mla: Cornalba, Federico, et al. “From Weakly Interacting Particles to a Regularised
Dean-Kawasaki Model.” Nonlinearity, vol. 33, no. 2, IOP Publishing, 2020,
pp. 864–91, doi:10.1088/1361-6544/ab5174.
short: F. Cornalba, T. Shardlow, J. Zimmer, Nonlinearity 33 (2020) 864–891.
date_created: 2020-04-05T22:00:49Z
date_published: 2020-01-10T00:00:00Z
date_updated: 2023-08-18T10:26:07Z
day: '10'
department:
- _id: JuFi
doi: 10.1088/1361-6544/ab5174
external_id:
arxiv:
- '1811.06448'
isi:
- '000508175400001'
intvolume: ' 33'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1811.06448
month: '01'
oa: 1
oa_version: Preprint
page: 864-891
publication: Nonlinearity
publication_identifier:
eissn:
- '13616544'
issn:
- '09517715'
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: From weakly interacting particles to a regularised Dean-Kawasaki model
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 33
year: '2020'
...