On the anisotropic Orlicz spaces applied in the problems of continuum mechanics | Zendy

Piotr Gwiazda | Zendy; Piotr Minakowski | Zendy; Agnieszka Świerczewska-Gwiazda | Zendy

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On the anisotropic Orlicz spaces applied in the problems of continuum mechanics

Author(s) -

Piotr Gwiazda,

Piotr Minakowski,

Agnieszka Świerczewska-Gwiazda

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.2013.6.1291

Subject(s) - continuum mechanics , anisotropy , cauchy stress tensor , mathematics , mathematical proof , fluid mechanics , newtonian fluid , pure mathematics , calculus (dental) , mathematical analysis , classical mechanics , physics , mechanics , geometry , quantum mechanics , medicine , dentistry

The paper concerns theory of anisotropic Orlicz spaces and its applications in continuum mechanics. Our main motivations are e.g. flow of non-Newtonian fluid and response of inelastic materials with non-standard growth conditions of the Cauchy stress tensor. The set of basic definitions and theorems with proofs is presented. We prove the existence of a weak solutions to the generalized Stokes system. Overview covering recent results in the referred topic is given.

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