Global existence for the semigeostrophic equations via Sobolev estimates for Monge-Ampère
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Publication:1713006
DOI10.1007/978-3-319-74042-3_1zbMath1406.35273OpenAlexW2803274879WikidataQ112631905 ScholiaQ112631905MaRDI QIDQ1713006
Publication date: 24 January 2019
Full work available at URL: https://doi.org/10.1007/978-3-319-74042-3_1
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Meteorology and atmospheric physics (86A10) Parabolic Monge-Ampère equations (35K96) PDEs in connection with geophysics (35Q86)
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Hölder regularity of the 2D dual semigeostrophic equations via analysis of linearized Monge-Ampère equations ⋮ Entropic optimal transport solutions of the semigeostrophic equations ⋮ Global \(W^{2,1+\varepsilon}\) estimates for Monge-Ampère equation with natural boundary condition ⋮ Note on an eigenvalue problem with applications to a Minkowski type regularity problem in \(\mathbb{R}^n\)
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