Cover Image

A piston to counteract diffusion: The influence of an inward-shifting boundary on the heat equation in half-space

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Tréton, Samuel, Zhang, Mingmin
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Emergence of complexity in opinion propagation: A reaction-diffusion model
by: Ducasse, Romain, et al.
Published: (2024)

The field-road diffusion model: fundamental solution and asymptotic behavior
by: Alfaro, Matthieu, et al.
Published: (2022)

Fundamental solution and diffusion limits for the heat equation in a half-space with a diffusive dynamical boundary condition
by: Ishige, Kazuhiro, et al.
Published: (2026)

Bridging bulk and surface: An interacting particle system towards the field-road diffusion model
by: Alfaro, Matthieu, et al.
Published: (2024)

Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space
by: Jiang, Ning, et al.
Published: (2021)

The influence of advection on the propagation phenomena of reaction-diffusion equations with KPP-bistable nonlinearity
by: Liang, Xing, et al.
Published: (2024)

Sharp asymptotics for the KPP equation with some front-like initial data
by: Zhang, Mingmin
Published: (2025)

Singular velocity of the Stokes and Navier-Stokes equations near boundary in the half space
by: Chang, TongKeun, et al.
Published: (2024)

Standing waves with prescribed mass for NLS equations with Hardy potential in the half-space under Neumman boundary condition
by: Zhang, Yuxuan, et al.
Published: (2025)

Stationary flows for viscous heat-conductive fluid in a perturbed half-space
by: Li, Mingjie, et al.
Published: (2024)

Liouville Theorem for $k-$curvature equation in half space with fully nonlinear boundary condition
by: Wei, Wei
Published: (2024)

Decay rates to equilibrium in a nonlinear subdiffusion equation with two counteracting terms
by: Kaltenbacher, Barbara
Published: (2026)

Flat level sets of Allen-Cahn equation in half-space
by: Du, Wenkui, et al.
Published: (2024)

Global Well-posedness for 2D non-resistive MHD equations in half-space
by: Zhang, Zhaoyun, et al.
Published: (2024)

A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton-Jacobi equations
by: Filippucci, Roberta, et al.
Published: (2019)

A Liouville-type theorem for the Lane-Emden equation in a half-space
by: Dupaigne, Louis, et al.
Published: (2020)

Diffusive limit of the Boltzmann equation around Rayleigh profile in the half space
by: Chen, Hongxu, et al.
Published: (2025)

One-dimensional symmetry results for semilinear equations and inequalities on half-spaces
by: Beuvin, Nicolas, et al.
Published: (2025)

KPP transition fronts in a one-dimensional two-patch habitat
by: Hamel, François, et al.
Published: (2023)

Global existence of non-Newtonian incompressible fluids in half space with nonhomogeneous initial-boundary data
by: Chang, Tongkuen, et al.
Published: (2022)

Energy conservation for weak solutions of incompressible Newtonian fluid equations in Hölder spaces with Dirichlet boundary conditions in the half-space
by: Berselli, Luigi C., et al.
Published: (2024)

Partial data inverse problems for reaction-diffusion and heat equations
by: Feizmohammadi, Ali, et al.
Published: (2024)

Fundamental solution to the heat equation with a dynamical boundary condition
by: Ishige, Kazuhiro, et al.
Published: (2024)

On space-time quasiconcave solutions of the heat equation
by: Chen, Chuanqiang, et al.
Published: (2014)

Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary
by: Wang, Guofang, et al.
Published: (2022)

Macroscopic boundary conditions for a fractional diffusion equation in chemotaxis
by: Estrada-Rodriguez, Gissell, et al.
Published: (2025)

Analysis of the loss of boundary conditions for the diffusive Hamilton-Jacobi equation
by: Porretta, Alessio, et al.
Published: (2016)

Asymptotic solution for three-dimensional reaction-diffusion-advection equation with periodic boundary conditions
by: Liubavin, Aleksei, et al.
Published: (2025)

Weighted Sobolev space theory for the heat equation and the time-fractional heat equation in non-smooth domains
by: Seo, Jinsol
Published: (2024)

Liouville type theorems for fully nonlinear elliptic equations in exterior domains in half spaces
by: Li, Dongsheng, et al.
Published: (2026)

Asymptotic behavior of solution of the non-resistive 2D MHD equations on the half space
by: Jin, Jiakun, et al.
Published: (2024)

The Boussinesq equation on the half-line
by: Charlier, Christophe
Published: (2025)

Classification of solutions to the $Q$-flat and constant $T$-curvature equation on the half-space and ball
by: Chen, Xuezhang, et al.
Published: (2024)

On variable Lebesgue spaces and generalized nonlinear heat equations
by: Vergara-Hermosilla, Gastón
Published: (2024)

Gradient flow for a class of diffusion equations with Dirichlet boundary data
by: Erbar, Matthias, et al.
Published: (2024)

On homogeneous Sobolev and Besov spaces on the whole and the half space
by: Gaudin, Anatole
Published: (2022)

A one-dimensional Stefan problem for the heat equation with a nonlinear boundary condition
by: Araya, Kensho, et al.
Published: (2025)

Liouville type theorem for a class of quasilinear p-Laplace type equations in the half space
by: Yu, Bao, et al.
Published: (2025)

Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity
by: Avetisyan, Zhirayr, et al.
Published: (2025)

Very weak solutions of the heat equation with anisotropically singular time-dependent diffusivity
by: Avetisyan, Zhirayr, et al.
Published: (2026)