Stability of the equilibria for spatially periodic flows in porous media

Nonlinear Analysis, Theory, Methods and Applications

Volumn 45, Issue 8, 2001, Pages 1061-1080

  Escher, Joachim ^a   Prokert, Georg ^a  

^a UNIVERSITY OF KASSEL   (Germany)

Author keywords

Exponential stability; Fully nonlinear parabolic equation; Hele Shaw problem; Maximal regularity; Moving interface; Stefan problem

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTATIONAL FLUID DYNAMICS; INTERFACES (MATERIALS); MATHEMATICAL MODELS; POROUS MATERIALS;

DARCY'S LAW;

NONLINEAR EQUATIONS;

EID: 0035452578     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00434-4     Document Type: Article

References (15)

1. Nonlinear analytic semiflows
2. Parabolic equations for curves on surfaces, Part I. Curves with p-integrable curvature
3. On the solvability of the initial boundary value problem for a parabolic equation of second order with dynamic boundary conditions in weighted Hölder spaces
4. On moving boundaries in deformable media
5. Maximal regularity for a free boundary problem
6. Analyticity of the interface in a free boundary problem
7. Unsteady flow in porous media with a free surface
8. The behaviour of free surface appearing in the flow through porous media