Partial Differential Equations in Action From Modelling to Theory /

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The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico d...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Salsa, Sandro (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:3rd ed. 2016.
Series:La Matematica per il 3+2, 99
Subjects:
Mathematical models.
Differential equations.
Mathematical physics.
Engineering mathematics.
Engineering-Data processing.
Mathematical Modeling and Industrial Mathematics.
Differential Equations.
Mathematical Physics.
Mathematical and Computational Engineering Applications.
Online Access:Texto Completo
Table of Contents:
  • 1 Introduction
  • 2 Diffusion
  • 3 The Laplace Equation
  • 4 Scalar Conservation Laws and First Order Equations
  • 5 Waves and vibrations
  • 6 Elements of Functional Analysis
  • 7 Distributions and Sobolev Spaces
  • 8 Variational formulation of elliptic problems
  • 9 Further Applications
  • 10 Weak Formulation of Evolution Problems
  • 11 Systems of Conservation Laws
  • 12 A Fourier Series
  • 13 B Measures and Integrals
  • 14 C Identities and Formulas.

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