Fourier Series In Several Variables With Applications To Partial Differential Equations Chapman Hallcrc Applied Mathematics And Nonlinear Science

Victor Shapiro

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Fourier Series In Several Variables With Applications To Partial Differential Equations Chapman Hallcrc Applied Mathematics And Nonlinear Science
Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates the value of Fourier series methods in solving difficult nonlinear partial differential equations (PDEs). Using these methods, the author presents results for stationary Navier-Stokes equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance...

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Resumo

Fourier Series In Several Variables With Applications To Partial Differential Equations Chapman Hallcrc Applied Mathematics And Nonlinear Science

Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates the value of Fourier series methods in solving difficult nonlinear partial differential equations (PDEs). Using these methods, the author presents results for stationary Navier-Stokes equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance theory. He also establishes the connection between multiple Fourier series and number theory.

The book first presents four summability methods used in studying multiple Fourier series: iterated Fejer, Bochner-Riesz, Abel, and Gauss-Weierstrass. It then covers conjugate multiple Fourier series, the analogue of Cantorâs uniqueness theorem in two dimensions, surface spherical harmonics, and Schoenbergâs theorem. After describing five theorems on periodic solutions of nonlinear PDEs, the text concludes with solutions of stationary Navier-Stokes equations.

Discussing many results and studies from the literature, this book demonstrates the robust power of Fourier analysis in solving seemingly impenetrable nonlinear problems.


Nº de Páginas: 352
Encadernação: Capa Mole / Paperback
Tema: Applied mathematics
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Características

Número de páginas

352,0

Editora

Taylor & Francis

Peso

620,0

Data de lançamento

23/10/2019

Série/Edição Limitada

1

Idiomas

Inglês

EAN

9780367382926

Publicidade
Publicidade