Strong ill-Posedness in \(L^\infty\) of the 2D Boussinesq equations in vorticity form and application to the 3D axisymmetric Euler equations

Roberta Bianchini, Lars Eric Hientzsch, Felice Iandoli

Publication date: 5 September 2024

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Boussinesq equations Boussinesq system axisymmetric Euler equations strong ill-posedness Biot-Savart Biot-Savart decomposition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shear flows and turbulence (76F10) Ill-posed problems for PDEs (35R25) Stability and instability of geophysical and astrophysical flows (76E20) Blow-up in context of PDEs (35B44) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Axially symmetric solutions to PDEs (35B07)

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