Cover Image

Exponential mixing for the stochastic Allen--Cahn equation with localized white noise

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Ziyu, Xiang, Shengquan, Zhang, Zhifei
Format:	Preprint
Published:	2026
Subjects:	Probability Analysis of PDEs Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Exponential mixing for random nonlinear wave equations: weak dissipation and localized control
by: Liu, Ziyu, et al.
Published: (2024)

Exponential mixing for the randomly forced NLS equation
by: Chen, Yuxuan, et al.
Published: (2025)

Exponential mixing for nonlinear Schrödinger equations perturbed by bounded degenerate noise
by: Chen, Yuxuan, et al.
Published: (2026)

Local large deviations for randomly forced nonlinear wave equations with localized damping
by: Chen, Yuxuan, et al.
Published: (2024)

Inverse problems for stochastic partial differential equations
by: Lü, Qi, et al.
Published: (2024)

Optimal control of stochastic Volterra integral equations with completely monotone kernels and stochastic differential equations on Hilbert spaces with unbounded control and diffusion operators
by: Bolli, Gabriele, et al.
Published: (2026)

Quantitative convergence for mean field control with common noise and degenerate idiosyncratic noise
by: Cecchin, Alekos, et al.
Published: (2024)

Convergence analysis for an implementable scheme to solve the linear-quadratic stochastic optimal control problem with stochastic wave equation
by: Chaudhary, Abhishek
Published: (2025)

Quantification of ergodicity for Hamilton--Jacobi equations in a dynamic random environment
by: Guo, Xiaoqin, et al.
Published: (2026)

An approximation of the squared Wasserstein distance and an application to Hamilton-Jacobi equations
by: Bertucci, Charles, et al.
Published: (2024)

Optimal control problems driven by nonlinear degenerate Fokker-Planck equations
by: Anceschi, Francesca, et al.
Published: (2024)

Optimal rate of convergence in the vanishing viscosity for quadratic Hamilton-Jacobi equations
by: Chaintron, Louis-Pierre, et al.
Published: (2025)

Unconditional well-posedness of the master equation for monotone mean field games of controls
by: Jackson, Joe, et al.
Published: (2026)

Stochastic optimal transport and Hamilton-Jacobi-Bellman equations on the set of probability measures
by: Bertucci, Charles
Published: (2023)

Error estimates for finite-dimensional approximations of Hamilton-Jacobi-Bellman equations on the Wasserstein space
by: Daudin, Samuel, et al.
Published: (2025)

Global controllability to harmonic maps of the heat flow from a circle to a sphere
by: Coron, Jean-Michel, et al.
Published: (2024)

New global Carleman estimates and null controllability for a stochastic Cahn-Hilliard type equation
by: Zhang, Sen, et al.
Published: (2024)

Exponential Absolute Minimizing extension and biased infinity Laplacian
by: Chu, Yang
Published: (2025)

Relaxed optimal control for the stochastic Landau-Lifshitz-Gilbert equation
by: Gokhale, Soham
Published: (2023)

Interface fluctuations for $1$D stochastic Allen-Cahn equation revisited
by: Xu, Weijun, et al.
Published: (2024)

An Allen-Cahn equation with jump-diffusion noise for biological damage and repair processes
by: Di Primio, Andrea, et al.
Published: (2026)

Interface fluctuations for $1$D stochastic Allen-Cahn equation -- singular regime
by: Xu, Weijun, et al.
Published: (2025)

Fredholm backstepping for critical operators and application to rapid stabilization for the linearized water waves
by: Gagnon, Ludovick, et al.
Published: (2022)

Onset of pattern formation for the stochastic Allen-Cahn equation
by: Brassesco, Stella, et al.
Published: (2023)

Uniform stability in the Euclidean isoperimetric problem for the Allen--Cahn energy
by: Maggi, Francesco, et al.
Published: (2022)

The stochastic nonlocal Cahn-Hilliard equation with regular potential and multiplicative noise
by: Di Primio, Andrea, et al.
Published: (2026)

Mean Field Games in Hilbert Spaces with Degenerate Diffusion: A Viscosity Solution Approach
by: Święch, Andrzej, et al.
Published: (2026)

Lipschitz solutions to mean field games with a major player and applications
by: Meynard, Charles
Published: (2026)

Sharp propagation of chaos for mean field Langevin dynamics, control, and games
by: Arnese, Manuel, et al.
Published: (2026)

Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies
by: Monmarché, Pierre
Published: (2026)

Risk-averse optimal control of random elliptic variational inequalities
by: Alphonse, Amal, et al.
Published: (2022)

A limit theory for controlled McKean-Vlasov SPDEs
by: Criens, David
Published: (2023)

Stochastic exit-time control on the half-line over a finite horizon
by: Zawisza, Dariusz
Published: (2025)

Convergence of infinitesimal generators and stability of convex monotone semigroups
by: Blessing, Jonas, et al.
Published: (2023)

Free energy Wasserstein gradient flow and their particle counterparts: toy model, (degenerate) PL inequalities and exit times
by: Monmarché, Pierre
Published: (2025)

Covariance-modulated optimal transport and gradient flows
by: Burger, Martin, et al.
Published: (2023)

Large deviations for sticky-reflecting Brownian motion with boundary diffusion
by: Casteras, Jean-Baptiste, et al.
Published: (2025)

Mean field control with absorption
by: Cardaliaguet, Pierre, et al.
Published: (2025)

A notion of BSDE on the Wasserstein space and its applications to control problems and PDEs
by: Djete, Mao Fabrice
Published: (2025)

Genericity of Polyak-Lojasiewicz Inequalities for Entropic Mean-Field Neural ODEs
by: Daudin, Samuel, et al.
Published: (2025)