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

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    0340592 - MÚ 2010 RIV GB eng J - Journal Article
    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. E-ISSN 1099-1476
    R&D Projects: GA MŠMT LC06052
    Institutional research plan: CEZ:AV0Z10190503
    Keywords : Navier-Stokes system * renormalized solution * energy inequality
    Subject RIV: BA - General Mathematics
    Impact factor: 0.808, year: 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.
    Permanent Link: http://hdl.handle.net/11104/0183803

     
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