عنوان
پدید آورنده
موضوع
رده
QC174.26.W28
QC174
.
26
.
W28
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789811075810
(Number (ISBN
9811075816
Erroneous ISBN
9789811075803
Erroneous ISBN
9811075808
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Propagation of multidimensional nonlinear waves and kinematical conservation laws /
General Material Designation
[Book]
First Statement of Responsibility
Phoolan Prasad.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Singapore :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
SERIES
Series Title
Infosys Science Foundation series, Infosys Science Foundation series in mathematical sciences,
ISSN of Series
2363-6149
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Intro; Preface; Contents; About the Author; 1 Introduction; 2 Scalar First-Order PDE; 2.1 Quasilinear PDE; 2.2 Examples and Some General Results; 2.3 Nonlinear Equation; 2.4 Example: Eikonal Equation; 3 Scalar Conservation Law; 3.1 Conservation Law and Curves of Discontinuity; 3.2 Stability Consideration, Entropy Condition and Shocks; 3.3 Riemann Problem; 3.4 Examples; 3.5 Nonlinear Wavefront and Shock Front; 4 Hyperbolic System of PDEs and Conservation Laws; 4.1 Ray Equations in a General System in d-D Space; 4.1.1 Wavefront Construction with the Help of Rays
Text of Note
4.2 Hyperbolic System of First-Order PDE4.2.1 Hyperbolic System in One Space Variable; 4.2.2 Simple Wave in One Space Dimension; 4.3 Hyperbolic System in Multi-dimensions; 4.3.1 The Wave Equation in d(>1) Space Dimensions; 4.3.2 Hyperbolic System in Multi-dimensions; 4.3.3 Characteristic Surface, Bicharacteristics and Rays; 4.4 Shocks, Jump Relations and Shock Manifold PDE; 4.4.1 One-Dimensinal System of Conservation Laws; 4.4.2 Multi-dimensional Systems of Conservation Laws; 5 Equations of Nonlinear Wavefront and Shock Front; 5.1 Weakly Nonlinear Ray Theory -- WNLRT
Text of Note
5.2 Shock Ray Theory (SRT) -- an Example in One Space Dimension5.3 SRT for a Shock in Multi-dimensions; 5.3.1 A Theorem on Shock Ray Equations for a Weak Shock; 5.3.2 SRT in a Polytropic Gas from WNLRT; 5.4 Non-dimensional Form of Equations of WNRT and SRT; 6 Kinematical Conservation Laws (KCL); 6.1 d-Dimensional KCL; 6.2 Equivalence of KCL and Ray Equations; 6.3 Kink Phenomenon; 7 Conservation Forms of Energy Transport Equations; 7.1 Ray Tube Area; 7.2 Energy Transport Equation in 3-D WNLRT; 7.3 Transport Equations in 3-D SRT; 7.4 Energy Transport Equations in 2-D
Text of Note
9.2 Nonlinear Wavefront Produced by a Convex Piston9.3 Evolution of a Shock Front of Periodic Shape; 9.4 Corrugational Stability; 9.5 Evolution of a Shock from Closed Curves into Circles; 9.6 Sonic Boom by a Maneuvering Aerofoil; 9.6.1 Description and Basic Assumptions; 9.6.2 Introduction of a Ray Coordinate System; 9.6.3 Cauchy Data in Ray Coordinates; 9.6.4 Results; 10 3-D WNLRT and SRT: Theory and Applications; 10.1 Eigen Structure of the WNLRT Equations; 10.2 Eigen Structure of the SRT Equations; 10.3 Numerical Approximation of the SRT Equations
0
8
8
8
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9789811075810
OTHER EDITION IN ANOTHER MEDIUM
Title
Propagation of multidimensional nonlinear waves and kinematical conservation laws.
International Standard Book Number
9789811075803
TOPICAL NAME USED AS SUBJECT
Kinematics.
Nonlinear wave equations.
Differential calculus & equations.
Kinematics.
Mathematical modelling.
Nonlinear wave equations.
SCIENCE-- Mechanics-- General.
SCIENCE-- Mechanics-- Solids.
(SUBJECT CATEGORY (Provisional
SCI-- 041000
SCI-- 096000
DEWEY DECIMAL CLASSIFICATION
Number
531/
.
1133
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QC174
.
26
.
W28
PERSONAL NAME - PRIMARY RESPONSIBILITY
Prasad, Phoolan
ORIGINATING SOURCE
Date of Transaction
20200823222009.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
