Cover Image

Dean-Kawasaki Equation with Biot-Savart and Keller-Segel Interactions: Existence and Large Deviations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ji, Xiaohao, Sun, Yue, Wu, Zhengyan
Format:	Preprint
Published:	2026
Subjects:	Probability Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Kinetic Theory with Fluctuations: Strong Well-Posedness of the Vlasov-Fokker-Planck-Dean-Kawasaki System
by: Hao, Zimo, et al.
Published: (2025)

Fluctuating Hydrodynamics of the Ising-Kac-Kawasaki Model and Nonlinear Fluctuations Near Criticality
by: Wu, Zhengyan
Published: (2025)

Well-Posedness of the generalised Dean-Kawasaki Equation with correlated noise on bounded domains
by: Popat, Shyam
Published: (2024)

An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Local Well-Posedness of Paracontrolled Solutions
by: Martini, Adrian, et al.
Published: (2022)

Ergodicity for the Dean--Kawasaki Equation with Dirichlet Boundary Conditions: Taming the Square-Root
by: Popat, Shyam, et al.
Published: (2025)

Rigorous derivation of the mean-field limit for the signal-dependent Keller-Segel system
by: Wang, Jinhuan, et al.
Published: (2026)

Local pathwise solutions and regularization by noises for the stochastic hyperbolic Keller-Segel equation
by: Li, Tengyu, et al.
Published: (2025)

Stochastic PDEs with correlated, non-stationary Stratonovich noise of Dean--Kawasaki type
by: Fehrman, Benjamin
Published: (2025)

On the Keller-Segel models interacting with a stochastically forced incompressible viscous flow in $\mathbb{R}^2$
by: Zhang, Lei, et al.
Published: (2022)

An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results
by: Martini, Adrian, et al.
Published: (2024)

Upper bound on heat kernels of finite particle systems of Keller-Segel type
by: Boutiah, S. E., et al.
Published: (2025)

Quantitative approximation of a Keller--Segel PDE by a branching moderately interacting particle system and suppression of blow-up
by: Cavallazzi, Thomas, et al.
Published: (2025)

Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits
by: Gess, Benjamin, et al.
Published: (2024)

Dean-Kawasaki Equation with Singular Interactions and Applications to Dynamical Ising-Kac Model
by: Wang, Likun, et al.
Published: (2022)

Existence of finite time blow-up in Keller-Segel system
by: Buseghin, Federico, et al.
Published: (2023)

The Incompressible Navier--Stokes--Fourier System with Thermal Noise
by: Gess, Benjamin, et al.
Published: (2026)

Well-Posedness for Dean-Kawasaki Models of Vlasov-Fokker-Planck Type
by: Müller, Fenna, et al.
Published: (2024)

Nonlinear stochastic Laplace equation: Large Deviations and Measure Concentration
by: Majee, Ananta K
Published: (2024)

Matching Large Deviation Bounds of the Zero-Range Process in the whole space
by: Fehrman, Benjamin, et al.
Published: (2025)

Weak Error of Dean-Kawasaki Equation with Smooth Mean-Field Interactions
by: Djurdjevac, Ana, et al.
Published: (2025)

The Global Existence of Martingale Solutions to Stochastic Compressible Navier-Stokes Equations with Density-dependent Viscosity
by: Li, Yachun, et al.
Published: (2022)

Fluctuation Correction and Global Solutions for the Stochastic Shigesada-Kawasaki-Teramoto System via Entropy-Based Regularization
by: Huber, Florian
Published: (2025)

Parabolic-elliptic Keller-Segel's system
by: Lemarié, Valentin
Published: (2023)

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions
by: Crippa, Gianluca, et al.
Published: (2025)

The Keller-Segel model with mass critical exponent
by: Bian, Shen, et al.
Published: (2024)

Well-posedness of the obstacle problem for generalized Dean-Kawasaki equation
by: Liu, Ruoyang, et al.
Published: (2026)

Probabilistic Approaches to The Energy Equality in Forced Surface Quasi-Geostrophic Equations
by: Wang, Lin, et al.
Published: (2024)

Existence of martingale solutions to a stochastic kinetic model of chemotaxis
by: Gess, Benjamin, et al.
Published: (2025)

Finite Difference Approximation with ADI Scheme for Two-dimensional Keller-Segel Equations
by: Lu, Yubin, et al.
Published: (2023)

Existence and higher regularity of statistically steady states for the stochastic Coleman-Gurtin equation
by: Glatt-Holtz, Nathan E., et al.
Published: (2024)

Existence of stationary measures for partially damped SDEs with generic, Euler-type nonlinearities
by: Bedrossian, Jacob, et al.
Published: (2024)

On linking numbers and Biot-Savart kernels
by: Cibotaru, Daniel, et al.
Published: (2025)

Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem
by: Tawri, Krutika, et al.
Published: (2023)

Existence and non-uniqueness of probabilistically strong solutions to 3D stochastic magnetohydrodynamic equations
by: Cao, Wenping, et al.
Published: (2024)

Stochastic Itô Equations and Parabolic Second-Order Equations with singular Drift
by: Krylov, N. V.
Published: (2026)

Existence of Solutions for Multivalued Mckean-Vlasov SDEs with Non-Lipschitz Coefficients Driven by Jump Processes
by: Cheng, Lingyan, et al.
Published: (2025)

Traveling waves with continuous profile for hyperbolic Keller-Segel equation
by: Griette, Quentin, et al.
Published: (2022)

On the space-time analyticity of the Keller-Segel-Navier-Stokes system
by: Abdo, Elie, et al.
Published: (2024)

On the self-similar stability of the parabolic-parabolic Keller-Segel equation
by: Borges, Frank Alvarez, et al.
Published: (2023)

On the incompressible limit of Keller-Segel system with volume-filling effects
by: He, Qingyou, et al.
Published: (2024)