Počet záznamů: 1

Regularity and Uniqueness in quasilinear parabolic systems

  1. 1.
    0362723 - MU-W 2012 RIV CZ eng J - Článek v odborném periodiku
    Krejčí, Pavel - Panizzi, L.
    Regularity and Uniqueness in quasilinear parabolic systems.
    Applications of Mathematics. Roč. 56, č. 4 (2011), s. 341-370 ISSN 0862-7940
    Grant CEP: GA ČR GAP201/10/2315
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: parabolic system * regularity * uniqueness
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.480, rok: 2011
    http://www.springerlink.com/content/xkh41744g1975970/

    Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma.
    Trvalý link: http://hdl.handle.net/11104/0198966
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