Local pressure methods in Orlicz spaces for the motion of rigid bodies in a non-Newtonian fluid with general growth conditions | Zendy

Aneta WróblewskaKamińska | Zendy

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Local pressure methods in Orlicz spaces for the motion of rigid bodies in a non-Newtonian fluid with general growth conditions

Author(s) -

Aneta WróblewskaKamińska

Publication year - 2013

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2013.6.1417

Subject(s) - newtonian fluid , compressibility , non newtonian fluid , mathematics , motion (physics) , generalized newtonian fluid , fluid motion , function (biology) , flow (mathematics) , mathematical analysis , incompressible flow , decomposition , classical mechanics , mechanics , physics , viscosity , geometry , thermodynamics , shear rate , ecology , evolutionary biology , biology

In the present paper we provide the decomposition and local estimates for the pressure function for the non-stationary flow of incompressible non-Newtonian fluids in Orlicz spaces. We show that this method can be applied to prove the existence of weak solutions to the problem of motion of one or several rigid bodies in a non-Newtonian incompressible fluid with growth conditions given by an $N$-function.

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