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Shock waves /

Liu, Tai-Ping, (1945-)

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Shock waves /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Shock waves // Tai-Ping Liu.
Author:	Liu, Tai-Ping,
Description:	1 online resource (pages cm.)
Subject:	Shock waves - Mathematical models. -
Online resource:	https://www.ams.org/gsm/215
Online resource:	https://doi.org/10.1090/gsm/215
ISBN:	9781470466244 (online)

Shock waves /
Liu, Tai-Ping,1945-

Shock waves /[electronic resource] Tai-Ping Liu. - 1 online resource (pages cm.) - Graduate Studies in Mathematics, v. 215.

Includes bibliographical references and index.

Introduction

Access is restricted to licensed institutions

"This book presents the fundamentals of the shock wave theory. Shock waves are present in many natural situations as a consequence of nonlinear constitutive relations. Mathematical analysis of shock waves is based mostly on the conservation laws. Consider the case of gas dynamics. There is the conservation of mass. The conservation of momentum follows from the Newtonian physics. During the nineteenth century, the conservation of energy and the second law of thermodynamics were formulated. This is the scientific background when Stokes [119] and Riemann [112] did their pioneering works on shock waves in the mid-nineteenth century. More conservation laws were subsequently formulated with the study of electro-magnetism, nonlinear elasticity, high temperature gas dynamics, and other physical phenomena. There have been important, continuing progresses on the development of shock wave theory since the time of Stokes and Riemann."--

Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2021

Mode of access : World Wide Web

ISBN: 9781470466244 (online)Subjects--Topical Terms:

3518664
Shock waves
--Mathematical models.

LC Class. No.: QA930 / .L58 2021

Dewey Class. No.: 515/.3535

Shock waves /
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050 0 0 $a QA930 $b .L58 2021
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100 1 $a Liu, Tai-Ping, $d 1945- $e author. $3 3775835
245 1 0 $a Shock waves / $h [electronic resource] $c Tai-Ping Liu.
263 $a 2108
264 1 $a Providence, Rhode Island : $b American Mathematical Society, $c [2021]
300 $a 1 online resource (pages cm.)
336 $a text $b txt $2 rdacontent
337 $a unmediated $b n $2 rdamedia
338 $a volume $b nc $2 rdacarrier
490 0 $a Graduate Studies in Mathematics, $v v. 215
504 $a Includes bibliographical references and index.
505 0 0 $t Introduction $t Preliminaries $t Scalar convex conservation laws $t Burgers equation $t General scalar conservation laws $t System of hyperbolic conservation laws, general theory $t Riemann problem $t Wave interactions $t Well-posedness theory $t Viscosity $t Relaxation $t Nonlinear resonance $t Multi-dimensional gas flows $t Concluding remarks
506 1 $a Access is restricted to licensed institutions
520 $a "This book presents the fundamentals of the shock wave theory. Shock waves are present in many natural situations as a consequence of nonlinear constitutive relations. Mathematical analysis of shock waves is based mostly on the conservation laws. Consider the case of gas dynamics. There is the conservation of mass. The conservation of momentum follows from the Newtonian physics. During the nineteenth century, the conservation of energy and the second law of thermodynamics were formulated. This is the scientific background when Stokes [119] and Riemann [112] did their pioneering works on shock waves in the mid-nineteenth century. More conservation laws were subsequently formulated with the study of electro-magnetism, nonlinear elasticity, high temperature gas dynamics, and other physical phenomena. There have been important, continuing progresses on the development of shock wave theory since the time of Stokes and Riemann."-- $c Preface.
533 $a Electronic reproduction. $b Providence, Rhode Island : $c American Mathematical Society. $d 2021
538 $a Mode of access : World Wide Web
588 $a Description based on print version record.
650 0 $a Shock waves $x Mathematical models. $3 3518664
650 7 $a Partial differential equations -- Hyperbolic equations and systems -- Hyperbolic conservation laws. $2 msc $3 3775836
650 7 $a Partial differential equations -- Hyperbolic equations and systems -- Shocks and singularities for hyperbolic equations. $2 msc $3 3775837
650 7 $a Partial differential equations -- Hyperbolic equations and systems -- First-order hyperbolic systems. $2 msc $3 3775838
650 7 $a Fluid mechanics -- Shock waves and blast waves in fluid mechanics -- Shock waves and blast waves in fluid mechanics. $2 msc $3 3775839
650 7 $a Fluid mechanics -- Compressible fluids and gas dynamics, general -- Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics. $2 msc $3 3775840
776 0 $i Print version: $a Liu, Tai-Ping, 1945- $t Shock waves / $w (DLC) 2021009618 $x 1065-7339 $z 9781470465674
856 4 $3 Contents $u https://www.ams.org/gsm/215
856 4 $3 Contents $u https://doi.org/10.1090/gsm/215