Measure attractors for stochastic Navier-Stokes equations.
Capiński, Marek, Cutland, Nigel J. (1998)
Electronic Journal of Probability [electronic only]
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Displaying similar documents to “Galerkin approximation and the strong solution of the Navier-Stokes equation.”
Measure attractors for stochastic Navier-Stokes equations.
Conditions implying regularity of the three dimensional Navier-Stokes equation
Stephen Montgomery-Smith (2005)
Applications of Mathematics
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We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac-like inequalities. As part of our methods, we give a different approach to a priori estimates of Foiaş, Guillopé and Temam.
Local solutions for stochastic Navier Stokes equations
Alain Bensoussan, Jens Frehse (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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On evolution inequalities of a modified Navier-Stokes type. I
Manfred Müller, Joachim Naumann (1978)
Aplikace matematiky
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The paper present an existence theorem for a strong solution to an abstract evolution inequality where the properties of the operators involved are motivated by a type of modified Navier-Stokes equations under certain unilateral boundary conditions. The method of proof rests upon a Galerkin type argument combined with the regularization of the functional.