Shock waves / Tai-Ping Liu.

Format:

Book

Author/Creator:

Liu, Tai-Ping, 1945- author.

Series:

Graduate studies in mathematics ; 1065-7339 v. 215.

Graduate studies in mathematics, 1065-7339 ; 215

Language:

English

Subjects (All):

Shock waves--Mathematical models.

Shock waves.

Physical Description:

xvii, 437 pages : illustrations ; 27 cm.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2021]

Summary:

"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."-- Preface.

Notes:

Includes bibliographical references and index.

ISBN:

9781470465674

1470465671

9781470466251

1470466252

OCLC:

1245250623