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Well-posedness of boundary value problems for a class of second order degenerate elliptic equations

Mathematics – Analysis of PDEs
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Well-posedness of compressible Euler equations in a physical vacuum

Mathematics – Analysis of PDEs
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Well-posedness of fully nonlinear and nonlocal critical parabolic equations

Mathematics – Analysis of PDEs
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Well-posedness of Hydrodynamics on the Moving Elastic Surface

Mathematics – Analysis of PDEs
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Well-posedness of the Cauchy problem for the fractional power dissipative equations

Mathematics – Analysis of PDEs
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Well-posedness of the Cauchy Problem on Torus to Electromagnetoelastic System

Mathematics – Analysis of PDEs
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Well-Posedness of the Einstein-Euler System in Asymptotically Flat Spacetimes

Mathematics – Analysis of PDEs
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Well-posedness of the equation for the three-form field in the eleven dimensional supergravity

Mathematics – Analysis of PDEs
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Well-posedness of the equations of a viscoelastic fluid with a free boundary

Mathematics – Analysis of PDEs
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Well-posedness of the Fifth Order Kadomtsev-Petviashvili I Equation in Anisotropic Sobolev Spaces with Nonnegative Indices

Mathematics – Analysis of PDEs
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Well-posedness of the free-surface incompressible Euler equations with or without surface tension

Mathematics – Analysis of PDEs
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Well-posedness of the Hele-Shaw-Cahn-Hilliard system

Mathematics – Analysis of PDEs
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Well-posedness of the linearized plasma-vacuum interface problem

Mathematics – Analysis of PDEs
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Well-posedness of The Prandtl Equation in Sobolev Spaces

Mathematics – Analysis of PDEs
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Well-posedness of the three-dimensional Lagrangian averaged Navier-Stokes equations

Mathematics – Analysis of PDEs
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Well-posedness of the transport equation by stochastic perturbation

Mathematics – Analysis of PDEs
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Well-posedness of the Viscous Boussinesq System in Besov Spaces of Negative Order Near Index $s=-1$

Mathematics – Analysis of PDEs
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Well-posedness of the water-wave problem with surface tension

Mathematics – Analysis of PDEs
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Well-posedness of Wasserstein Gradient Flow Solutions of Higher Order Evolution Equations

Mathematics – Analysis of PDEs
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Well-posedness results for the 3D Zakharov-Kuznetsov equation

Mathematics – Analysis of PDEs
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