Large deviations principles for stochastic scalar conservation laws
From MaRDI portal
Publication:975309
DOI10.1007/s00440-009-0218-6zbMath1204.60057arXiv0804.0997OpenAlexW2044840327MaRDI QIDQ975309
Publication date: 9 June 2010
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.0997
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (28)
Generalized characteristics for finite entropy solutions of Burgers' equation ⋮ On the \(L^2\) stability of shock waves for finite-entropy solutions of Burgers ⋮ Action functional and quasi-potential for the burgers equation in a bounded interval ⋮ Stochastic scalar conservation laws driven by rough paths ⋮ Exceedingly large deviations of the totally asymmetric exclusion process ⋮ The rectifiability of the entropy defect measure for Burgers equation ⋮ On a selection problem for small noise perturbation in the multidimensional case ⋮ On the regularity of weak solutions to Burgers' equation with finite entropy production ⋮ Large deviation principles for first-order scalar conservation laws with stochastic forcing ⋮ Large Deviations for Stationary Measures of Stochastic Nonlinear Wave Equations\\with Smooth White Noise ⋮ Stochastic Allen-Cahn equation with mobility ⋮ Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift ⋮ A variational approach to the inviscous limit of fractional conservation laws ⋮ On optimal regularity estimates for finite-entropy solutions of scalar conservation laws ⋮ Long-time behavior of stochastic Hamilton-Jacobi equations ⋮ Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise ⋮ Large deviations for interacting particle systems: joint mean-field and small-noise limit ⋮ Dean-Kawasaki dynamics: ill-posedness vs. triviality ⋮ Well-posedness by noise for scalar conservation laws ⋮ Density large deviations for multidimensional stochastic hyperbolic conservation laws ⋮ Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound ⋮ A representation of solutions to a scalar conservation law in several dimensions ⋮ Invariant measures for nonlinear conservation laws driven by stochastic forcing ⋮ From weakly interacting particles to a regularised Dean–Kawasaki model ⋮ On the structure of weak solutions to scalar conservation laws with finite entropy production ⋮ Large deviations for stochastic equations in Hilbert spaces with non-Lipschitz drift ⋮ Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps ⋮ Random separation property for stochastic Allen-Cahn-type equations
Cites Work
- \(\Gamma\)-entropy cost for scalar conservation laws
- On the Skorokhod topology
- Structure of entropy solutions for multi-dimensional scalar conservation laws
- Hydrodynamical limit for space inhomogeneous one-dimensional totally asymmetric zero-range processes
- Fully nonlinear stochastic partial differential equations
- Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations
- Stochastic Equations in Infinite Dimensions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Large deviations principles for stochastic scalar conservation laws
