Fourier Analysis and Nonlinear Partial Differential by Hajer Bahouri,Jean-Yves Chemin,Raphaël Danchin

By Hajer Bahouri,Jean-Yves Chemin,Raphaël Danchin

In fresh years, the Fourier research equipment have expereinced a turning out to be curiosity within the examine of partial differential equations. specifically, these recommendations in keeping with the Littlewood-Paley decomposition have proved to be very effective for the examine of evolution equations. the current booklet goals at featuring self-contained, kingdom- of- the- artwork types of these strategies with purposes to varied sessions of partial differential equations: shipping, warmth, wave and Schrödinger equations.  It additionally deals extra subtle versions originating from fluid mechanics (in specific the incompressible and compressible Navier-Stokes equations) or basic relativity.

It is both directed to somebody with an excellent undergraduate point of information in research or necessary for specialists who're wanting to understand the ease that one may possibly achieve from Fourier research whilst facing nonlinear partial differential equations.

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