Nonlinear Degenerate Evolution Equations in Mixed Formulation

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/9306sz887

Descriptions

Attribute Name	Values
Creator	Showalter, R. E.
Abstract	We develop the theory of degenerate and nonlinear evolution systems in mixed formulation. It will be shown that many of the well-known results for the stationary problem extend to the nonlinear case and that the dynamics of a degenerate Cauchy problem is governed by a nonlinear semigroup. The results are illustrated by a Darcy–Stokes coupled system with multiple nonlinearities. Keywords: monotone systems, coupled Darcy–Stokes, nonlinear evolution equation, mixed formulation
Resource Type	Article
DOI	https://doi.org/10.1137/100789427
Date Available	2014-08-07T20:26:58+00:00
Date Issued	2010-08-31
Citation	Showalter, R. E. (2010). Nonlinear degenerate evolution equations in mixed formulation. SIAM Journal on Mathematical Analysis, 42(5), 2114-2131. doi:10.1137/100789427
Journal Title	SIAM Journal on Mathematical Analysis
Journal Volume	42
Journal Issue/Number	5
Academic Affiliation	Mathematics
Rights Statement	Copyright Not Evaluated
Publisher	Society for Industrial and Applied Mathematics
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/51224