Local existence of the solution to the initial-boundary value problem in nonlinear thermodiffusion in micropolar medium

DOI10.4171/ZAA/960zbMath0955.35003OpenAlexW2067054572MaRDI QIDQ1578912

Jerzy August Gawinecki

Publication date: 27 February 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48640

zbMATH Keywords

Sobolev spacesenergy estimateBanach fixed point theoremFaedo-Galerkin methodnonlinear hyperbolic-parabolic system

Mathematics Subject Classification ID

Related Items (3)

Global existence and exponential stability of solutions for thermodiffusion equations of type III ⋮ Models of thermodiffusion in 1D ⋮ Decay estimates of linearized micropolar fluid flows in \(\mathbb{R}^{3}\) space with applications to \(L_{3}\)-strong solutions

Cites Work

• Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
• Mixed problems for quasi-linear symmetric hyperbolic systems
• The nonlinear initial-boundary value problem and the existence of multidimensional shock wave for quasilinear hyperbolic-parabolic coupled systems
• Initial boundary value problems for quasilinear hyperbolic-parabolic coupled systems in higher dimensional spaces
• Existence, uniqueness and regularity of the solution to the first boundary-initial value problem of linear thermodiffusion in micropolar medium
• Local existence of solution for the initial boundary value problem of fully nonlinear wave equation
• Non‐characteristic mixed problems for non‐linear symmetric hyperbolic systems
• ON THE CAUCHY PROBLEM FOR COMPOSITE SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Some Integral Inequalities with Applications to the Imbedding of Sobolev Spaces Defined Over Irregular Domains
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Local existence of the solution to the initial-boundary value problem in nonlinear thermodiffusion in micropolar medium