Norm inflation for generalized Navier-Stokes equations

DOI10.1512/iumj.2014.63.5249zbMath1426.76088arXiv1212.3801OpenAlexW2950080175MaRDI QIDQ2926591

Mimi Dai, Alexey Cheskidov

Publication date: 31 October 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3801

zbMATH Keywords

Besov spacesnorm inflationfractional Navier-Stokes equationinteractions of plane waves

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Norm-inflation results for the BBM equation ⋮ Well-posedness and ill-posedness for the 3D generalized Navier-Stokes equations in \(\dot{F}^{-\alpha,r}_{\frac{3}{\alpha-1}}\) ⋮ Well/ill-posedness for the dissipative Navier-Stokes system in generalized Carleson measure spaces ⋮ Dyadic models for fluid equations: a survey ⋮ Regularity Problem for the Nematic LCD System with Q-tensor in $\mathbb R^3$ ⋮ On symmetry breaking for the Navier-Stokes equations ⋮ Norm inflation for the Boussinesq system ⋮ Discontinuity of weak solutions to the 3D NSE and MHD equations in critical and supercritical spaces

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