Emergence of time periodic solutions for the generalized surface quasi-geostrophic equation in the disc
DOI10.1016/j.jfa.2023.110142zbMath1528.35120arXiv2210.08760MaRDI QIDQ6075498
Liutang Xue, Zhilong Xue, Taoufik Hmidi
Publication date: 20 September 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.08760
generalized surface quasi-geostrophic equationtime-periodic solutions, \(m\)-fold symmetric V-states
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Fractional derivatives and integrals (26A33) General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Bifurcations in context of PDEs (35B32) Nonlinear evolution equations (47J35) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)
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