Partial Differential Equations in Action From Modelling to Theory /

• Main Author: Salsa, Sandro (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: Second Edition.
• Series: UNITEXT, 86
• Subjects: Mathematics.; Partial differential equations.; Mathematical physics.; Mathematical models.; Applied mathematics.; Engineering mathematics.; Mathematical Modeling and Industrial Mathematics.; Partial Differential Equations.; Mathematical Applications in the Physical Sciences.; Appl.Mathematics/Computational Methods of Engineering.

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...

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.