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Boundary value problems --- Differential equations, Elliptic --- Harmonic analysis --- Analyse harmonique --- Equations différentielles elliptiques --- Problèmes aux limites --- Numerical solutions --- Congresses --- Congrès --- Solutions numériques

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The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schrödinger and wave equations. Several powerful methods from recent top research articles are described in a careful and expository manner.

Partial differential equations --- differentiaalvergelijkingen

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This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.

Differential equations, Nonlinear --- Nonlinear partial differential operators --- Nonlinear operators --- Partial differential operators --- Absolute value. --- Addition. --- Analysis. --- Analytical technique. --- Average. --- Commutator. --- Conservation law. --- Continuous spectrum. --- Critical focus. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Equation. --- Exponential decay. --- Fourier transform. --- Lecture. --- Manifold. --- Medium frequency. --- Nature. --- Navier–Stokes equations. --- Nonlinear system. --- Scattering theory. --- Sloan Fellowship. --- Spectral method. --- Subset. --- Support (mathematics). --- Theory. --- Three-dimensional space (mathematics). --- Volume. --- Wave equation.

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Mathematics