Gamma-convergence of a gradient-flow structure to a non-gradient-flow structure
DOI10.1007/s00526-022-02190-yzbMath1486.35026arXiv2105.03401OpenAlexW3162357096WikidataQ114017977 ScholiaQ114017977MaRDI QIDQ2127340
Mikola C. Schlottke, Mark Adriaan Peletier
Publication date: 20 April 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.03401
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Variational methods for problems in mechanics (70G75) Large deviations (60F10) Initial value problems for second-order parabolic equations (35K15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Singular parabolic equations (35K67) PDEs with measure (35R06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction
- On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion
- On microscopic origins of generalized gradient structures
- Quadratic and rate-independent limits for a large-deviations functional
- Compact sets in the space \(L^ p(0,T;B)\)
- Multilevel large deviations and interacting diffusions
- An introduction to \(\Gamma\)-convergence
- Some applications of mass transport to Gaussian-type inequalities
- Flux large deviations of weakly interacting jump processes via well-posedness of an associated Hamilton-Jacobi equation
- Jump processes as generalized gradient flows
- Large deviations of jump process fluxes
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Variational approach to coarse-graining of generalized gradient flows
- Large deviations and gradient flows for the Brownian one-dimensional hard-rod system
- Asymptotics for Scaled Kramers--Smoluchowski Equations
- Chemical Reactions as $\Gamma$-Limit of Diffusion
- From Diffusion to Reaction via $\Gamma$-Convergence
- A Γ-convergence approach to large deviations
- Large deviations from the mckean-vlasov limit for weakly interacting diffusions
- Analysis and Geometry of Markov Diffusion Operators
- Noise-Induced Phenomena in Slow-Fast Dynamical Systems
- Brownian motion in a field of force and the diffusion model of chemical reactions
- Metastability
- Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence