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Displaying similar documents to “The topological degree method for equations of the Navier-Stokes type.”

On optimal decay rates for weak solutions to the Navier-Stokes equations in R n

Tetsuro Miyakawa, Maria Elena Schonbek (2001)

Mathematica Bohemica

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This paper is concerned with optimal lower bounds of decay rates for solutions to the Navier-Stokes equations in ℝ n . Necessary and sufficient conditions are given such that the corresponding Navier-Stokes solutions are shown to satisfy the algebraic bound ∥ u ( t ) ∥ ≥ ( t + 1 ) - n + 4 2 .

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.

Analysis of a combined barycentric finite volume—nonconforming finite element method for nonlinear convection-diffusion problems

Philippe Angot, Vít Dolejší, Miloslav Feistauer, Jiří Felcman (1998)

Applications of Mathematics

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We present the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Nonlinear convective terms are approximated with the aid of a monotone finite volume scheme considered over the finite volume barycentric mesh, whereas the diffusion term is discretized by piecewise linear nonconforming triangular finite elements. Under the assumption that the triangulations...