Weak and Strong Solutions of the Navier-Stokes Initial Value Problem | Zendy

Yoshikazu Giga | Zendy

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Weak and Strong Solutions of the Navier-Stokes Initial Value Problem

Author(s) -

Yoshikazu Giga

Publication year - 1983

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195182014

Subject(s) - mathematics , uniqueness , semigroup , operator (biology) , value (mathematics) , navier–stokes equations , meaning (existential) , mathematical analysis , compressibility , statistics , physics , thermodynamics , psychology , biochemistry , chemistry , repressor , transcription factor , psychotherapist , gene

This paper reviews the existence, uniqueness and regularity of weak and strong solutions of the Navier-Stokes system. For this purpose we emphasize semigroup theory and the theory of the Stokes operator. We use dimensional analysis to clarify the meaning of the results for the solutions.

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