Norm inflation for incompressible magneto-hydrodynamic system in \(\dot B^{-1,\infty}_\infty\)

zbMath1357.76099arXiv1110.2472MaRDI QIDQ717690

Mimi Dai, Jie Qing, Maria Elena Schonbek

Publication date: 5 October 2011

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2472

zbMATH Keywords

Cauchy problemill-posedness

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (6)

Norm-inflation results for the BBM equation ⋮ Well/ill-posedness for the dissipative Navier-Stokes system in generalized Carleson measure spaces ⋮ Global well-posedness for the generalized magneto-hydrodynamic equations in the critical Fourier-Herz spaces ⋮ Blowup and ill-posedness for the complex, periodic KdV equation ⋮ 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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