On the regularity of solution to the time-dependent p-Stokes system

• Autorzy: Berselli Luigi C. , Ruzicka Michael

Identyfikatory

DOI

10.7494/OpMath.2020.40.1.49

• Języki publikacji: EN

Abstrakty

EN

n this paper we consider the time evolutionary p-Stokes problem in a smooth and bounded domain. This system models the unsteady motion or certain non-Newtonian incompressible fluids in the regime of slow motions, when the convective term is negligible. We prove results of space/time regularity, showing that first-order time-derivatives and second-order space-derivatives of the velocity and first-order space-derivatives of the pressure belong to rather natural Lebesgue spaces.

Słowa kluczowe

EN

regularity; evolution problem; p-Stokes

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 1
• Strony: 49--69
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Berselli Luigi C.

• Universita di Pisa Dipartimento di Matematica Via F. Buonarroti 1/c 1-56127 Pisa, Italy

autor

Ruzicka Michael

• Albert-Ludwigs-University Freiburg Institute of Applied Mathematics Ernst-Zermelo-Str. 1 D-79104 Freiburg, Germany

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).