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math.AP2023
Illposedness via degenerate dispersion for generalized surface quasi-geostrophic equations with singular velocities
Dongho Chae, In-Jee Jeong, Sung-Jin Oh
We prove strong nonlinear illposedness results for the generalized SQG equation in any sufficiently regular Sobolev spaces, w…
math.AP2023
Well-posedness for Ohkitani model and long-time existence for surface quasi-geostrophic equations
Dongho Chae, In-Jee Jeong, Jungkyoung Na +1
We consider the Cauchy problem for the logarithmically singular surface quasi-geostrophic (SQG) equation, introduced by Ohkitani, $$\partial_t θ- \nabla^\perp \log(10+(-Δ)^{\frac12…