Degenerate parabolic equations appearing in atmospheric dispersion of pollutants

Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters. The linear problem is considered on the moving domain. The separability properties of elliptic a...

Full description

Saved in:
Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2016-01, Vol.2016 (119), p.1-16
Main Authors: Shakhmurov, Veli, Sahmurova, Aida
Format: Article
Language:English
Subjects:
degenerate pde
differential-operator equations
nonlinear problems
positive operators in banach spaces
semigroups of operators
separabile differential operators
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters. The linear problem is considered on the moving domain. The separability properties of elliptic and parabolic problems in mixed $L_p$ spaces are obtained. Moreover, the existence and uniqueness of optimal regular solution of mixed problem for nonlinear parabolic equation is established. Note that, these problems arise in fluid mechanics and environmental engineering.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2016.1.119