Počet záznamů: 1

On the existence of finite energy weak solutions to the Navier-Stokes equations in irregular domains

  1. 1.
    0340592 - MU-W 2010 RIV GB eng J - Článek v odborném periodiku
    Kukučka, Peter
    On the existence of finite energy weak solutions to the Navier-Stokes equations in irregular domains.
    Mathematical Methods in the Applied Sciences. Roč. 32, č. 11 (2009), s. 1428-1451 ISSN 0170-4214
    Grant CEP: GA MŠk LC06052
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Navier-Stokes system * renormalized solution * energy inequality
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.808, rok: 2009

    This paper studies the existence of weak solutions of the Navier-Stokes system defined on a certain class of domains in R-3 that may contain cusps. The concept of such a domain and weak energy solution for the system is defined and its existence is proved. However, thinness of cusps must be related to the adiabatic constant appearing in the pressure law.
    Trvalý link: http://hdl.handle.net/11104/0183803
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