Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method
DOI10.1214/20-AIHP1088zbMath1478.35173arXiv1909.08892OpenAlexW3136299396MaRDI QIDQ2041808
Alexandra Neamţu, Christian Kuehn, Florian Huber, Gaurav Dhariwal, Ansgar Jüngel
Publication date: 23 July 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.08892
tightnessbiofilm modelentropy methodcross diffusionmartingale solutionsMaxwell-Stefan systemsSkorokhod-Jakubowski theorem
PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Microbiology (92C70)
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Cites Work
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- Strong and weak approximation of semilinear stochastic evolution equations
- Diffusion of finite-size particles in confined geometries
- Corrigendum to: ``Analysis of degenerate cross-diffusion population models with volume filling
- SPDE in Hilbert space with locally monotone coefficients
- Convergence of rescaled competing species processes to a class of SPDEs
- Degenerate parabolic stochastic partial differential equations: quasilinear case
- Compact families of piecewise constant functions in \(L^p (0,T;B)\)
- Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
- Existence of strong solutions for stochastic porous media equation under general monotonicity conditions
- Stochastically forced compressible fluid flows
- Analysis of a degenerate parabolic cross-diffusion system for ion transport
- Entropy solutions for stochastic porous media equations
- Quasilinear SPDEs via rough paths
- Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise
- Strong solutions for stochastic partial differential equations of gradient type
- Wong-zakai approximation and support theorem for SPDEs with locally monotone coefficients
- Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE
- Wong-Zakai approximations for stochastic differential equations
- Pathwise mild solutions for quasilinear stochastic partial differential equations
- Stochastic tamed Navier-Stokes equations on \(\mathbb{R}^3\): the existence and the uniqueness of solutions and the existence of an invariant measure
- Global martingale solutions for a stochastic population cross-diffusion system
- Quasilinear generalized parabolic Anderson model equation
- A concise course on stochastic partial differential equations
- Quasilinear parabolic stochastic partial differential equations: existence, uniqueness
- Paracontrolled quasilinear SPDEs
- Entropy Methods for Diffusive Partial Differential Equations
- Existence Analysis of Maxwell--Stefan Systems for Multicomponent Mixtures
- On the Maxwell-Stefan Approach to Multicomponent Diffusion
- The almost sure Skorokhod representation for subsequences in nonmetric spaces
- An extension of the Wong-Zakai theorem for stochastic evolution equations in Hilbert spaces
- Nonlinear Cross-Diffusion with Size Exclusion
- Analysis of a Degenerate and Singular Volume-Filling Cross-Diffusion System Modeling Biofilm Growth
- A Solution Theory for Quasilinear Singular SPDEs
- A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type
- The boundedness-by-entropy method for cross-diffusion systems
- On the Convergence of Ordinary Integrals to Stochastic Integrals
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