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math.APMay 23, 2013
5
citations (OpenAlex)
authors
  • E. Ostrovsky
  • L. Sirota
institutions
  • Bar-Ilan University
arXiv abstractPDF
paper

Solvability of Naiver-Stokes equations in some rearrangement invariant spaces

arXiv:1305.5321

Abstract

We prove that the multidimensional dimensional initial value problem for the Navier-Stokes equations is globally well-posed in the so-called Moment and Grand Lebesgue Spaces (GLS), and give some a priory estimations for solution in this spaces.

References in corpus (6)

  • Boundedness of Operators in Bilateral Grand Bebesgue Spaces with Exact and Weakly Exact Constant Calculation
  • Null structure in a system of quadratic derivative nonlinear Schrödinger equations
  • Nikol'skii-type inequalities for rearrangement invariant spaces
  • Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces
  • The second iterate for the Navier-Stokes equation
  • Strichartz type Inequalities for Parabolic and Schrödinger Equations in rearrangement invariant Spaces

Cited by in corpus (5)

  • Quantitative lower bound for lifespan for solution of Navier-Stokes equations
  • Monte Carlo computation of multiple weak singular integrals of spherical and Volterra's type
  • The rate of increase for recursion with quadratic non-linearity
  • A simple Monte Carlo method for solving of Navier-Stokes Equations
  • Mixed Lebesgue space norm Strichartz type estimation for solution of inhomogeneous parabolic equation, with constants evaluation
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