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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 $s=-1$

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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

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Well-posedness results for the 3D Zakharov-Kuznetsov equation

Mathematics – Analysis of PDEs
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Well-posedness results for triply nonlinear degenerate parabolic equations

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Well-posedness theory for geometry compatible hyperbolic conservation laws on manifolds

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Well-posedness, energy and charge conservation for nonlinear wave equations in discrete space-time

Mathematics – Analysis of PDEs
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Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems

Mathematics – Analysis of PDEs
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Wellposedness and stability results for the Navier-Stokes equations in ${\mathbf R}^{3}$

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Wellposedness of Cauchy problem for the Fourth Order Nonlinear Schrödinger Equations in Multi-dimensional Spaces

Mathematics – Analysis of PDEs
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Weyl law for semi-classical resonances with randomly perturbed potentials

Mathematics – Analysis of PDEs
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What can we expect of the heat in a thin plate ?

Mathematics – Analysis of PDEs
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What is the optimal shape of a pipe?

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What is wrong with the Lax-Richtmyer fundamental theorem of linear numerical analysis ?

Mathematics – Analysis of PDEs
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When does a Schrödinger heat equation permit positive solutions

Mathematics – Analysis of PDEs
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White noise for KdV and mKdV on the circle

Mathematics – Analysis of PDEs
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Whitham Averaged Equations and Modulational Stability of Periodic Traveling Waves of a Hyperbolic-Parabolic Balance Law

Mathematics – Analysis of PDEs
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Whitham's equations for modulated roll-waves in shallow flows

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