Cover Image

On behavior of free boundaries to generalized two-phase Stefan problems for parabolic partial differential equation systems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Aiki, Toyohiko, Kakiuchi, Hana
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs 35R35, 35K55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Solvability of the moisture transport model for porous materials
by: Morimura, Akiko, et al.
Published: (2024)

Free boundary regularity for the inhomogeneous one-phase Stefan problem
by: Ferrari, Fausto, et al.
Published: (2024)

On the existence of solutions to some singular parabolic free boundary problems
by: Audrito, Alessandro, et al.
Published: (2025)

Convergence of approximate solutions constructed by the finite volume method for the moisture transport model in porous media
by: Morimura, Akiko, et al.
Published: (2025)

Precise propagation profile for some monostable free boundary problems in time-periodic media
by: Du, Yihong, et al.
Published: (2026)

Regularity of the free boundary in an unstable parabolic problem
by: Allen, Mark, et al.
Published: (2025)

Extinction rates for nonradial solutions to the Stefan problem
by: Fioravanti, Gabriele, et al.
Published: (2025)

Free boundary problem governed by a non-linear diffusion-convection equation with Neumann condition
by: Briozzo, Adriana C.
Published: (2024)

Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups
by: Hirayama, Hiroyuki, et al.
Published: (2024)

On the Geometry of Solutions of the Fully Nonlinear Inhomogeneous One-Phase Stefan Problem
by: Ferrari, Fausto, et al.
Published: (2025)

On a degenerate parabolic system describing the mean curvature flow of rotationally symmetric closed surfaces
by: Garcke, Harald, et al.
Published: (2019)

The Fractional Stefan Problem: Global Regularity of the Bounded Selfsimilar Solution"
by: Llorca, Marcos, et al.
Published: (2025)

Properties of the phase boundary in the parabolic problem with hysteresis
by: Apushkinskaya, Darya, et al.
Published: (2024)

The Cauchy problem for doubly degenerate parabolic equations with weights
by: Andreucci, Daniele, et al.
Published: (2024)

Well-posedness and asymptotic behavior of solutions to a second order nonlocal parabolic MEMS equation
by: Wei, Yufei, et al.
Published: (2026)

Blow-up and global mild solutions for a Hardy-Hénon parabolic equation on the Heisenberg group
by: Castillo, Ricardo, et al.
Published: (2025)

Optimal in tail Hölder estimates for weak solutions of the nonlocal parabolic p-Laplace equations on the Heisenberg group
by: Kar, Debraj
Published: (2026)

Transmission problems and domain decompositions for non-autonomous parabolic equations on evolving domains
by: Alphonse, Amal, et al.
Published: (2025)

Partial regularity for parabolic systems of double phase type
by: Ok, Jihoon, et al.
Published: (2025)

A parabolic free transmission problem: flat free boundaries are smooth
by: Kriventsov, Dennis, et al.
Published: (2024)

Gradient higher integrability for singular parabolic double-phase systems
by: Kim, Wontae, et al.
Published: (2023)

Global behavior of nonlocal in time reaction-diffusion equations
by: Torebek, Berikbol T.
Published: (2023)

Second order Sobolev regularity results for the generalized $p$-parabolic equation
by: Feng, Yawen, et al.
Published: (2024)

Gradient higher integrability of bounded solutions to parabolic double-phase systems
by: Chlebicka, Iwona, et al.
Published: (2025)

Intrinsic Harnack's inequality for a general nonlinear parabolic equation in non-divergence form
by: Kurkinen, Tapio, et al.
Published: (2023)

Melting and freezing rates of the radial interior Stefan problem in two dimension
by: Park, Jeongheon
Published: (2025)

The evolution problem associated with the fractional first eigenvalue
by: Barrios, Begoña, et al.
Published: (2023)

Well-posedness and stability for a class of fourth-order nonlinear parabolic equations
by: Li, Xinye, et al.
Published: (2023)

The eigentheory for nonlocal cooperative-advective system and its role in the study of free boundary system for directional epidemic models
by: Bentout, Soufiane, et al.
Published: (2025)

On the well-posedness of a Hele-Shaw-like system resulting from an inverse geometry problem formulated through a shape optimization setting
by: Rabago, Julius Fergy Tiongson, et al.
Published: (2024)

Existence of weak solutions for nonlinear drift-diffusion equations with measure data
by: Hwang, Sukjung, et al.
Published: (2025)

The preservation of nonnegativity of solutions of a parabolic system with the cubed Laplacian
by: Efendiev, Messoud, et al.
Published: (2025)

Global higher integrability for systems with $p$-growth structure in noncylindrical domains
by: Moring, Kristian, et al.
Published: (2025)

Lecture notes: Biological propagation via reaction-diffusion equations with nonlocal diffusion and free boundary
by: Du, Yihong
Published: (2025)

Invasion dynamics of super invaders: Elimination of Allee effects by a strategy at the range boundary
by: Du, Yihong, et al.
Published: (2025)

Convergence to a receding wave in a monostable free boundary problem
by: Cao, Hongkai, et al.
Published: (2025)

The multiphase Muskat problem with equal viscosities in two dimensions
by: Bierler, Jonas, et al.
Published: (2021)

Fife-McLeod's Theorem for Spatially Periodic Degenerate Diffusion Equations
by: Lou, Bendong, et al.
Published: (2025)

Harnack inequality for degenerate fully nonlinear parabolic equations
by: Arya, Vedansh, et al.
Published: (2025)

Partial gradient regularity for parabolic systems with degenerate diffusion and Hölder continuous coefficients
by: Bäuerlein, Fabian
Published: (2024)