ENGLISH

Mathematical Theory of Incompressible Nonviscous Fluids (Applied Mathematical Sciences) (v. 96)

By Mario Pulvirenti , Carlo Marchioro

Book information

Publisher
Springer
Year
1993
ISBN
0387940448, 9780387940441
LCC
QA1 .A647 vol. 96,QA911 .A647 vol. 96
Open Library ID
OL1397202M
Language
english
Format
PDF
Filesize
4 MB (4250032 bytes)
Series
Applied Mathematical Sciences v. 96
Edition
1
Pages
298\298
Orientation
yes
Scanned
yes
Time added
2010-06-26 00:49:36

Description

This book deals with fluid dynamics of incompressible non-viscous fluids. The main goal is to present an argument of large interest for physics, and applications in a rigorous logical and mathematical setup, therefore avoiding cumbersome technicalities. Classical as well as modern mathematical developments are illustrated in this book, which should fill a gap in the present literature. The book does not require a deep mathematical knowledge. The required background is a good understanding of classical arguments of mathematical analysis, including the basic elements of ordinary and partial differential equations, measure theory and analytic functions, and a few notions of potential theory and functional analysis. The contents of the book begins with the Euler equation, construction of solutions, stability of stationary solutions of the Euler equation. It continues with the vortex model, approximation methods, evolution of discontinuities, and concludes with turbulence.

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