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Paperback Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics Book

ISBN: 3319848046

ISBN13: 9783319848044

Shocks, Singularities and Oscillations in Nonlinear Optics and Fluid Mechanics

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Format: Paperback

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Book Overview

1 Amplitude equations for weakly nonlinear surface waves in variational problems.- 2 Global weak solutions of PDEs for compressible media: A compactness criterion to cover new physical situations.- 3 Second microlocalization and stabilization of damped wave equations on tori.- 4 A few remarks on hyperbolic systems with Zygmund in time coefficients.- 5 Well posedness of linearized Taylor equations in magnetohydrodynamics.- 6 Strictly dissipative non uniqueness with corners.- 7 On the solvability of certain degenerate partial differential operators.- 8 Location and Weyl formula for the eigenvalues of some non self-adjoint operators.- 9 A microscopic point of view on singularities in fluid models.- 10 Geometric optics for Rayleigh pulses in nonlinear elasticity.- 11 Recent results on stability of planar detonations.

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