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84 241 (0,158s)

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Navier-Stokes equations: weak solution, its uniqueness and regularity

This paper is a brief intorduction to the study of properties of weak solutions to the evolutionary incompressible Navier-Stokes equations. First, several types of solutions existence, uniqueness and regularity in different...

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

Regularity of Solution to Generalized Stokes Problem

Presented work deals with interior regularity of solution to certain systems connected with fluid mechanics.

BA - Obecná matematika

  • 2009
  • D
Result

Regularity of Pressure in the Neighbourhood of Regular Point of Weak Solutions of the Navier-Stokes Equations

In the paper we study regularity of the pressure of the weak solutions of the Navier-Stokes equations in the space-time neighbourhood of regular points....

BA - Obecná matematika

  • 2003
  • Jx
Result

Regularity of Pressure in the Navier-Stokes Equations

Regularity of pressure and time derivative of velocity are studied in the neighbourhood of regular point sof general weak solutions of the Navier-Stokes equations......

BA - Obecná matematika

  • 2003
  • D
Result

On Regularity of an Axially Symmetric Weak Solution of the Navier - Stokes Equations

The article contains a brief survey of known results about the regularity of axially symmetric weak solutions to the Navier - Stokes equations....

BA - Obecná matematika

  • 2001
  • D
Result

On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations

In this short note we consider the 3D Navier--Stokes equations in the whole space, for an incompressible fluid. We provide sufficient conditions for the regularity of strong solutions in terms of certain components of the velocity g...

BA - Obecná matematika

  • 2011
  • Jx
  • Link
Result

Commentary on local and boundary regularity of weak solutions to Navier-Stokes equations

We present results on local and boundary regularity for weak solutions to the Navier-Stokes equations. Beginning with the regularity criterion proved recently in [14] for the Cauchy problem, we show that this criterion hold...

BK - Mechanika tekutin

  • 2004
  • Jx
Result

Regularity and approximation of strong solutions to rate-independent systems

solutions to such problems with potentially very low regularity are considered, we prove the existence of Holder-regular strong solutions for a class of rate-independent systems. We also establish additional highe...

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

REGULARITY ON THE INTERIOR FOR THE GRADIENT OF WEAK SOLUTIONS TO NONLINEAR SECOND-ORDER ELLIPTIC SYSTEMS

everywhere Holder regularity on the interior for the gradients of weak solutions. Our sufficient condition for the regularity works even though an excess of the gradient of solution is not very small. More precise...

BE - Teoretická fyzika

  • 2013
  • Jx
Result

Existence and regularity of solutions for nonlinear elliptic system in Rn

In this work the existence and regularity of positive solutions of quasilinear system of two second order differential equations involving the p-Laplacian, is studied....

BA - Obecná matematika

  • 2002
  • Jx
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