Quantitative lower bound for lifespan for solution of Navier-Stokes equations

Abstract

We find a simple quantitative lower bound for lifespan of solution of the multidimensional initial value problem for the Navier-Stokes equations in whole space when the initial function belongs to the correspondent Lebesgue-Riesz space, and give some a priory estimations for solution in some rearrangement invariant spaces.

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Cited by in corpus (5)

• Cesaro-Hardy operators on bilateral grand Lebesgue spaces
• 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