On stability and instability of $C^{1,\alpha}$ singular solutions to the 3D Euler and 2D Boussinesq equations
DOI10.1007/S00220-024-04978-9arXiv2206.01296MaRDI QIDQ6400983
Thomas Yizhao Hou, Jiajie Chen
Publication date: 2 June 2022
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Nonlinear effects in hydrodynamic stability (76E30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singularity in context of PDEs (35A21) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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