Stability for systems of porous medium type
Kristian Moring, Rudolf Rainer
TL;DR
This paper investigates the stability of weak solutions for systems of porous medium type equations, analyzing how solutions behave as the parameter m varies, including both local and boundary value problems, in degenerate and singular scenarios.
Contribution
It provides new stability results for porous medium systems with respect to the exponent m, encompassing both local and Cauchy-Dirichlet problems, in degenerate and singular cases.
Findings
Established stability of weak solutions with respect to m.
Covered both local and boundary value problems.
Addressed degenerate and singular cases.
Abstract
We establish stability properties of weak solutions for systems of porous medium type with respect to the exponent . Thereby we treat stability for the local case as well as for Cauchy-Dirichlet problems. Both degenerate and singular cases are covered.
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