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Nonlinear Degenerate Evolution Equations in Mixed Formulation Public Deposited

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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.
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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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  • description.provenance : Submitted by Erin Clark (erin.clark@oregonstate.edu) on 2014-08-07T20:26:39Z No. of bitstreams: 1 ShowalterRalphMathematicsNonlinearDegenerateEvolution.pdf: 438377 bytes, checksum: 9396f1dfd9b5e76ae9cb5820612df7b6 (MD5)
  • description.provenance : Made available in DSpace on 2014-08-07T20:26:58Z (GMT). No. of bitstreams: 1 ShowalterRalphMathematicsNonlinearDegenerateEvolution.pdf: 438377 bytes, checksum: 9396f1dfd9b5e76ae9cb5820612df7b6 (MD5) Previous issue date: 2010-08-31
  • description.provenance : Approved for entry into archive by Erin Clark(erin.clark@oregonstate.edu) on 2014-08-07T20:26:58Z (GMT) No. of bitstreams: 1 ShowalterRalphMathematicsNonlinearDegenerateEvolution.pdf: 438377 bytes, checksum: 9396f1dfd9b5e76ae9cb5820612df7b6 (MD5)

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