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Nonlinear Degenerate Evolution Equations in Mixed Formulation

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Field Value
Title Nonlinear Degenerate Evolution Equations in Mixed Formulation
Names Showalter, R. E. (creator)
Date Issued 2010-08-31 (iso8601)
Note This is the publisher’s final pdf. The published article is copyrighted by the Society for Industrial and Applied Mathematics and can be found at: http://epubs.siam.org/loi/sjmaah.
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.
Genre Article
Topic mixed formulation
Identifier Showalter, R. E. (2010). Nonlinear degenerate evolution equations in mixed formulation. SIAM Journal on Mathematical Analysis, 42(5), 2114-2131. doi:10.1137/100789427

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