Nonlocal problems for one class of nonlinear operator equations that arise in the theory of Sobolev type equations
type: Item
instance of: scholarly article
title: Nonlocal problems for one class of nonlinear operator equations that arise in the theory of Sobolev type equations
zbMATH Open document ID: 0808.34068
DOI: 10.1007/BF02988478
author: A. P. Oskolkov
published in: Journal of Soviet Mathematics
publication date: 1993-09-01T00:00:00Z
full work available at URL: https://eudml.org/doc/68267
review text: A nonlinear operator equation generalizing the incompressible Navier- Stokes equation with an extra inner damping term is studied. It is shown that if certain a priori estimates are known then there exists a unique globally defined solution of the initial value or periodic or almost periodic problem, respectively. The abstract equation in question can also be obtained from a certain class of dissipative equations of Sobolev type.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 404564
zbMATH Keywords: abstract differential equation
zbMATH Keywords: global solution
zbMATH Keywords: nonlinear operator equation
zbMATH Keywords: incompressible Navier-Stokes equation
MaRDI profile type: Publication
cites work: Q5733282
cites work: Q5599982
cites work: Q3049261
cites work: Q5825924
cites work: Q3932447
cites work: Nonlocal problems in the theory of the motion equations of Kelvin-Voigt fluids
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description: scientific article; zbMATH DE number 404564