Hyperbolic partial differential equations and geometric optics / Jeffrey Rauch

By:

Rauch, Jeffrey

Material type: Text

9780821872918

Subject(s):

DDC classification:

23 535.32 RAU

Contents:

Simple examples of propogation The linear Cauchy problem Dispersive behavior Linear elliptic geometric optics Linear hyperbolic geometric optics The nonlinear Cauchy problem One phase nonlinear geometric optics Stability for one phase nonlinear geometric optics Resonant interaction and quasilinear systems Examples of resonance in one dimensional space Dense oscillations for the compressible

Summary: This book introduces graduate students and researchers in mathematics and the sciences to the multifaceted subject of the equations of hyperbolic type, which are used, in particular, to describe propagation of waves at finite speed. Among the topics presented are nonlinear geometric optics, the asymptotic analysis of short wavelength solutions, and nonlinear interaction of such waves.

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Holdings
Item type	Current library	Collection	Call number	Vol info	Status	Notes	Date due	Barcode
Project book	CUTN Central Library Sciences	Non-fiction	535.32 RAU (Browse shelf(Opens below))	Vol. 33	Checked out to Renuka Devi V (20019T)	Project Books	31/01/2024	48909

Simple examples of propogation
The linear Cauchy problem
Dispersive behavior
Linear elliptic geometric optics
Linear hyperbolic geometric optics
The nonlinear Cauchy problem
One phase nonlinear geometric optics
Stability for one phase nonlinear geometric optics
Resonant interaction and quasilinear systems
Examples of resonance in one dimensional space
Dense oscillations for the compressible

This book introduces graduate students and researchers in mathematics and the sciences to the multifaceted subject of the equations of hyperbolic type, which are used, in particular, to describe propagation of waves at finite speed. Among the topics presented are nonlinear geometric optics, the asymptotic analysis of short wavelength solutions, and nonlinear interaction of such waves.

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