A qualitative analysis of a nonlinear second-order anisotropic diffusion problem with non-homogeneous Cauchy-Stefan-Boltzmann boundary conditions
type: Item
instance of: scholarly article
title: A qualitative analysis of a nonlinear second-order anisotropic diffusion problem with non-homogeneous Cauchy-Stefan-Boltzmann boundary conditions
zbMATH Open document ID: 1470.35199
published in: Applied Mathematics and Optimization
publication date: 2021-08-11T00:00:00Z
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K61
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 7381002
zbMATH Keywords: nonlinear anisotropic diffusion
zbMATH Keywords: qualitative properties of solutions
zbMATH Keywords: Leray-Schauder principle
author: Alain Miranville
author: Costică Moroşanu
MaRDI profile type: Publication
full work available at URL: s00245-019-09643-5
OpenAlex ID: W2995959386
cites work: A qualitative analysis and numerical simulations of a nonlinear second-order anisotropic diffusion problem with non-homogeneous Cauchy-Neumann boundary conditions
cites work: Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
cites work: Convergence of the phase field model to its sharp interface limits
cites work: On the existence, uniqueness and regularity of solutions to the phase-field system with a general regular potential and a general class of nonlinear and non-homogeneous boundary conditions
cites work: A Cahn-Hilliard system with a fidelity term for color image inpainting
cites work: Q4838489
cites work: Q5562267
cites work: Existence of solutions for a one-dimensional Allen-Cahn equation
cites work: On an anisotropic Allen-Cahn system
cites work: On the existence, uniqueness and regularity of solutions to the phase-field transition system with non-homogeneous Cauchy-Neumann and nonlinear dynamic boundary conditions
cites work: Nonisothermal phase separation based on a microforce balance
cites work: Well-posedness for a phase-field transition system endowed with a polynomial nonlinearity and a general class of nonlinear dynamic boundary conditions
cites work: Q4487336
cites work: Q3135823
cites work: Diffuse interfaces with sharp corners and facets: Phase field models with strongly anisotropic surfaces
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: A new phase-field model for strongly anisotropic systems
DOI: 10.1007/S00245-019-09643-5
description: scientific article; zbMATH DE number 7381002