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Nonlinear Degenerate Evolution Equations in Mixed Formulation

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

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  • 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
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  • 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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  • 42
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  • 5
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