Entropic and gradient flow formulations for nonlinear diffusion
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Publication:2820870
DOI10.1063/1.4960748zbMath1366.82021arXiv1508.00549OpenAlexW3098666407WikidataQ59902142 ScholiaQ59902142MaRDI QIDQ2820870
Nicolas Dirr, Johannes Zimmer, Marios Georgios Stamatakis
Publication date: 12 September 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.00549
Reaction-diffusion equations (35K57) Diffusion processes (60J60) Large deviations (60F10) Nonlinear higher-order PDEs (35G20) Measures of information, entropy (94A17) Statistical thermodynamics (82B30)
Related Items (10)
Computing diffusivities from particle models out of equilibrium ⋮ Nonlinear diffusion equations with nonlinear gradient noise ⋮ Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift ⋮ The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles ⋮ The regularised inertial Dean–Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime ⋮ Global density equations for a population of actively switching particles ⋮ Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise ⋮ Regularization by noise for stochastic Hamilton-Jacobi equations ⋮ Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise ⋮ Jump processes as generalized gradient flows
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