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6 results on '"Zhikov, Vasily"'

1. Homogenization of random Navier-Stokes-type system for electrorheological fluid

Author

Piatnitski, Andrey and Zhikov, Vasily

Subjects
Mathematics - Analysis of PDEs
Abstract

The paper deals with homogenization of Navier-Stokes-type system describing electrorheologial fluid with random characteristics. Under non-standard growth conditions we construct the homogenized model and prove the convergence result. The structure of the limit equations is also studied

Published
2015

5. ON EXISTENCE AND UNIQUENESS CLASSES FOR THE CAUCHY PROBLEM FOR PARABOLIC EQUATIONS OF THE P-LAPLACE TYPE.

Author

SURNACHEV, MIKHAIL D. and ZHIKOV, VASILY V.

Subjects
CAUCHY problem, PARTIAL differential equations, DEGENERATE parabolic equations, LAPLACE'S equation, PARABOLIC operators
Abstract

We prove the existence and uniqueness of global solutions to the Cauchy problem for a class of parabolic equations of the p-Laplace type. In the singular case p < 2 there are no restrictions on the behaviour of solutions and initial data at infinity. In the degenerate case p > 2 we impose a restriction on growth of solutions at infinity to obtain global existence and uniqueness. This restriction is given in terms of weighted energy classes with power-like weights. [ABSTRACT FROM AUTHOR]

Published
2013
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6. Preface.

Author

BERLYAND, LEONID and ZHIKOV, VASILY

Published
2008

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