JournalszaaVol. 19 , No. 1pp. 121–130

Initial-Boundary Value Problem for Some Coupled Nonlinear Parabolic System of Partial Differential Equations Appearing in Thermodiffusion in Solid Body

  • Jerzy A. Gawinecki

    Military University of Technology, Warszawa, Poland
  • P. Kacprzyk

    Military University of Technology, Warszawa, Poland
  • B. Bar-Joseph

    Technion - Israel Institute of Technology, Haifa, Israel
Initial-Boundary Value Problem for Some Coupled Nonlinear Parabolic System of Partial Differential Equations Appearing in Thermodiffusion in Solid Body cover
Download PDF

Abstract

We prove a theorem about existence, uniqueness and regularity of the solution to an initial-boundary value problem for a nonlinear coupled parabolic system consisting of two equations. Such a system appears in the thermodiffusion in solid body. In our proof we use an energy method, methods of Sobolev spaces, semigroup theory and the Banach fixed point theorem.

Cite this article

Jerzy A. Gawinecki, P. Kacprzyk, B. Bar-Joseph, Initial-Boundary Value Problem for Some Coupled Nonlinear Parabolic System of Partial Differential Equations Appearing in Thermodiffusion in Solid Body. Z. Anal. Anwend. 19 (2000), no. 1 pp. 121–130

DOI 10.4171/ZAA/942