The regularised inertial Dean–Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime
DOI10.1051/m2an/2023077arXiv2207.09989OpenAlexW4387060838MaRDI QIDQ6189279
Tony Shardlow, Federico Cornalba
Publication date: 12 January 2024
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.09989
positivity-preserving schemesdiscontinuous Galerkin FEMreacting diffusing agentsregularised inertial Dean-Kawasaki modelstochastic PDEs of fluctuating hydrodynamics
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with randomness, stochastic partial differential equations (35R60) Numerical methods for partial differential equations, boundary value problems (65N99) Hydrodynamic stability (76Exx)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the accuracy of finite-volume schemes for fluctuating hydrodynamics
- Automated solution of differential equations by the finite element method. The FEniCS book
- Particle approximation of the Wasserstein diffusion
- Dean-Kawasaki dynamics: ill-posedness vs. triviality
- Instability, rupture and fluctuations in thin liquid films: theory and computations
- Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise
- Microscopic analyses of the dynamical density functional equation of dense fluids
- Multigrid in H(div) and H(curl)
- A finite-volume method for fluctuating dynamical density functional theory
- Entropic measure and Wasserstein diffusion
- On Dean-Kawasaki dynamics with smooth drift potential
- A concise course on stochastic partial differential equations
- Ito's lemma in infinite dimensions
- Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise
- Well-posedness for a regularised inertial Dean-Kawasaki model for slender particles in several space dimensions
- From interacting agents to density-based modeling with stochastic PDEs
- Entropic and gradient flow formulations for nonlinear diffusion
- GENERIC formalism of a Vlasov–Fokker–Planck equation and connection to large-deviation principles
- Firedrake
- Mixed and Hybrid Finite Element Methods
- Langevin equation for the density of a system of interacting Langevin processes
- Modified Massive Arratia Flow and Wasserstein Diffusion
- A Regularized Dean--Kawasaki Model: Derivation and Analysis
- On the equation 𝑑𝑖𝑣𝑌=𝑓 and application to control of phases
- Mixed Finite Element Methods and Applications
- From weakly interacting particles to a regularised Dean–Kawasaki model
- A Discontinuous Galerkin Method for Stochastic Conservation Laws
- The Mathematical Theory of Finite Element Methods
- Stochastic Equations in Infinite Dimensions
- The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles
This page was built for publication: The regularised inertial Dean–Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime
