Initial-boundary value problem for some coupled nonlinear parabolic system of partial differential equations appearing in thermodiffusion in solid body

DOI10.4171/ZAA/942zbMath0969.35075MaRDI QIDQ1978087

Yanyan Li

Publication date: 10 May 2001

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

Full work available at URL: https://eudml.org/doc/48901

zbMATH Keywords

Sobolev spacesenergy methodsemigroup theoryhomogeneous Dirichlet boundary conditionsBanach fixed point theorem

Mathematics Subject Classification ID

Related Items (9)

Boundary integral equation formulation for generalized thermoelastic diffusion -- analytical aspects ⋮ Propagation of cylindrical Rayleigh waves in a transversly isotropic thermoelastic diffusive solid half-space ⋮ Hierarchical controllability for a nonlinear parabolic equation in one dimension ⋮ A study of influence of diffusion inside a spherical shell under thermoelastic diffusion with relaxation times ⋮ Some theorems on generalized thermoelastic diffusion ⋮ A theory of thermoelastic diffusion materials with voids ⋮ Spatial stability for the quasi-static problem in thermoelastic diffusion theory ⋮ The coupled theory of micropolar thermoelastic diffusion ⋮ Dispersion of electromagnetic, elastic and diffusion waves in crystalline solids

Cites Work

• Existence, uniqueness and regularity of the solution to the first boundary-initial value problem of linear thermodiffusion in micropolar medium
• Non‐characteristic mixed problems for non‐linear symmetric hyperbolic systems
• Some Integral Inequalities with Applications to the Imbedding of Sobolev Spaces Defined Over Irregular Domains
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