By Victor Shapiro
Fourier sequence in numerous Variables with purposes to Partial Differential Equations illustrates the price of Fourier sequence tools in fixing tough nonlinear partial differential equations (PDEs). utilizing those tools, the writer provides effects for desk bound Navier-Stokes equations, nonlinear reaction-diffusion platforms, and quasilinear elliptic PDEs and resonance concept. He additionally establishes the relationship among a number of Fourier sequence and quantity theory.
The publication first provides 4 summability equipment utilized in learning a number of Fourier sequence: iterated Fejer, Bochner-Riesz, Abel, and Gauss-Weierstrass. It then covers conjugate a number of Fourier sequence, the analogue of Cantor’s strong point theorem in dimensions, floor round harmonics, and Schoenberg’s theorem. After describing 5 theorems on periodic suggestions of nonlinear PDEs, the textual content concludes with suggestions of desk bound Navier-Stokes equations.
Discussing many effects and stories from the literature, this e-book demonstrates the strong energy of Fourier research in fixing doubtless impenetrable nonlinear problems.
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Additional info for Fourier Series in Several Variables with Applications to Partial Differential Equations (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science)
Fourier Series in Several Variables with Applications to Partial Differential Equations (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science) by Victor Shapiro