Singular limits for stochastic equations
DOI10.1142/s0219493723500405zbMath1527.35512arXiv2204.09545MaRDI QIDQ6090801
Publication date: 20 November 2023
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.09545
renormalizationstochastic partial differential equationspace-time white noisestochastic Allen-Cahn equationstochastic Cahn-Hilliard/Allen-Cahn homotopystochastic singular limit
Central limit and other weak theorems (60F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Singular stochastic partial differential equations (60H17)
Cites Work
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- Heat semigroup and singular PDEs. With an appendix by F. Bernicot and D. Frey
- Triviality of the 2D stochastic Allen-Cahn equation
- A theory of regularity structures
- Stochastic partial differential equations: an introduction
- Approximating the coefficients in semilinear stochastic partial differential equations
- Multiplication in Sobolev spaces, revisited
- Existence and regularity of solution for a stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion
- Stability of solutions to stochastic partial differential equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Strong solutions to the stochastic quantization equations.
- Abstract approach to evolution equations of phase-field type and applications
- Singular SPDEs in domains with boundaries
- Large deviation principle for a stochastic Allen-Cahn equation
- Multiscale expansion of invariant measures for SPDEs
- Two-dimensional Navier-Stokes equations driven by a space-time white noise
- Approximation and support theorem in Hölder norm for parabolic stochastic partial differential equations
- Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions
- Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations
- An introduction to singular stochastic PDEs. Allen-Cahn equations, metastability, and regularity structures
- Exponential loss of memory for the 2-dimensional Allen-Cahn equation with small noise
- A remark on triviality for the two-dimensional stochastic nonlinear wave equation
- Fluctuations around a homogenised semilinear random PDE
- A note on semilinear stochastic equations
- Renormalising SPDEs in regularity structures
- Lectures on Random Interfaces
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- A convergence result for stochastic partial differential equations
- Large fluctuations for a nonlinear heat equation with noise
- Stochastic Cahn-Hilliard equation
- Front Motion in the One-Dimensional Stochastic Cahn--Hilliard Equation
- Singular Limit of Two-Scale Stochastic Optimal Control Problems in Infinite Dimensions by Vanishing Noise Regularization
- Stochastic Equations in Infinite Dimensions
- Noise-Induced Phenomena in Slow-Fast Dynamical Systems
- Local Existence and Uniqueness for a Two-Dimensional Surface Growth Equation with Space-Time White Noise