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A smoothing property of Schrodinger equations in the critical case

Mathematics – Analysis of PDEs
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A solution of Dirichlet problem using second partial derivatives of boundary function

Mathematics – Analysis of PDEs
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A Solvability criterion for Navier-Stokes equations in high dimensions

Mathematics – Analysis of PDEs
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A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold

Mathematics – Analysis of PDEs
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A stability criterion for two-fluid interfaces and applications

Mathematics – Analysis of PDEs
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A stability index for detonation waves in Majda's model for reacting flow

Mathematics – Analysis of PDEs
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A stability result for nonlinear Neumann problems under boundary variations

Mathematics – Analysis of PDEs
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A stationary free boundary problem modeling electrostatic MEMS

Mathematics – Analysis of PDEs
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A Stochastic Analog of Aubry-Mather Theory

Mathematics – Analysis of PDEs
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A stochastic Lagrangian proof of global existence of the Navier-Stokes equations for flows with small Reynolds number

Mathematics – Analysis of PDEs
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A stochastic perturbation of inviscid flows

Mathematics – Analysis of PDEs
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A stochastic-Lagrangian approach to the Navier--Stokes equations in domains with boundary

Mathematics – Analysis of PDEs
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A strengthening of the energy inequality for the Leray-Hopf solutions of the 3D periodic Navier-Stokes equations

Mathematics – Analysis of PDEs
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A Strichartz estimate for de Sitter space

Mathematics – Analysis of PDEs
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A Strichartz inequality for the Schroedinger equation on non-trapping asymptotically conic manifolds

Mathematics – Analysis of PDEs
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A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations

Mathematics – Analysis of PDEs
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A Strong Maximum Principle for Parabolic Systems in a Convex Set with Arbitrary Boundary

Mathematics – Analysis of PDEs
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A Structured Population Model of Cell Differentiation

Mathematics – Analysis of PDEs
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A study of blow-ups in the Keller-Segel model of chemotaxis

Mathematics – Analysis of PDEs
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A Study of the Navier-Stokes Equations with the Kinematic and Navier Boundary Conditions

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