Open AccessThe limit of vanishing viscosity for doubly nonlinear parabolic equations
Author(s) -
Aleš Matas,
Jochen Merker
Publication year - 2014
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2014.1.8
Subject(s) - mathematics , limit (mathematics) , nonlinear system , viscosity , mathematical analysis , viscosity solution , entropy (arrow of time) , mathematical physics , thermodynamics , physics , quantum mechanics
We show that solutions of the doubly nonlinear parabolic equation ¶b(u) ¶t e div(a(ru)) + div( f(u)) = g converge in the limit e& 0 of vanishing viscosity to an entropy solution of the doubly nonlinear hyperbolic equation ¶b(u) ¶t + div( f(u)) = g .
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