MARC Record from marc_columbia

LEADER: 06905cam a22006014a 4500
001 15068447
005 20210607124509.0
006 m o d
007 cr cnu---unuuu
008 060822s2001 flua ob 001 0 eng d
035 $a(OCoLC)ocm71012567
035 $a(NNC)15068447
040 $aN$T$beng$epn$cN$T$dYDXCP$dOCLCQ$dUV0$dCAI$dIDEBK$dE7B$dOCLCQ$dUIU$dOCLCQ$dTULIB$dOCLCQ$dOCLCF$dOCLCO$dCRCPR$dOCLCQ$dMNU$dOCLCQ$dUAB$dERL$dOCLCQ$dEZ9$dNLE$dOCLCQ$dUKMGB$dWYU$dYDX$dTYFRS$dLEAUB$dUKAHL
015 $aGBB7C6739$2bnb
016 7 $a018428164$2Uk
019 $a150388280$a271573172$a276796487$a311756289$a647585535$a779923391$a1031040647$a1047296129
020 $a1420026143$q(electronic bk.)
020 $a9781420026146$q(electronic bk.)
020 $a9781584880721
020 $a1584880724
020 $z1584880724
035 $a(OCoLC)71012567$z(OCoLC)150388280$z(OCoLC)271573172$z(OCoLC)276796487$z(OCoLC)311756289$z(OCoLC)647585535$z(OCoLC)779923391$z(OCoLC)1031040647$z(OCoLC)1047296129
037 $aTANDF_191976$bIngram Content Group
050 4 $aQA927$b.P73 2001eb
072 7 $aSCI$x067000$2bisacsh
082 04 $a531/.1133/01515355$222
049 $aZCUA
100 1 $aPrasad, Phoolan.
245 10 $aNonlinear hyperbolic waves in multi-dimensions /$cPhoolan Prasad.
260 $aBoca Raton, Fla. :$bChapman & Hall/CRC,$c©2001.
300 $a1 online resource (xvi, 338 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aChapman & Hall/CRC monographs and surveys in pure and applied mathematics ;$v121
504 $aIncludes bibliographical references and index.
588 0 $aPrint version record.
505 0 $aAN INTRODUCTION TO NONLINEAR HYPERBOLIC WAVES; A Wave Equation with Genuine Nonlinearity; Breakdown of a Genuine Solution; Conservation Law and Jump Condition; Stability Consideration, Entropy Condition, and Shocks; Some Examples; Shock Structure, Dissipation and Entropy Condition; The Persistence of a Shock; Nonlinear Wavefront and Shock Front; Hopf's Result on the General Solution; Equal Area Rule for Shock Fitting; HYPERBOLIC SYSTEM-SOME BASIC RESULTS; Hyperbolic System of First Order Equations in Two Independent Variables; The Wave Equation in m(>1) Space Dimensions; Hyperbolic System in More than Two Independent Variables; Bicharacteristic Curves, Rays, and Compatibility Condition; Propagation of Discontinuities of First Order Derivatives Along Rays; SIMPLE WAVE, HIGH FREQUENCY APPROXIMATION, AND RAY THEORY; Simple Wave; High-Frequency Approximation, Wavefront,
505 0 $aHuygens' Method and Fermat's Principle; Kinematics of a Propagating Curve; Breakdown of the Continuity of a Solution of a Quasilinear System; Jump Conditions for a Curved Shock; WEAKLY NONLINEAR RAY THEORY (WNLRT) DERIVATION; A Historical Account; Derivation of CPW Theory; A Geometric Derivation of WNLRT; An Asymptotic Derivation of WNLRT; STABILITY OF SOLUTIONS NEAR A SINGULARITY OF SONIC TYPE; Introduction; One-Dimensional Weakly Nonlinear Wave Propagation; Waves in a Multi-Dimensional Steady Transonic Flow; WNLRT IN A POLYTROPIC GAS; Basic Equations; Geometrical Features of a Nonlinear Wavefront; Exact Solution of an Initial Value Problem; Conclusion and Validity of WNLRT; COMPATIBILITY CONDITIONS ON A SHOCK: SINGLE CONSERVATION LAW; Derivation of the Infinite System of Compatibility Conditions; Existence and Uniqueness of the Solution of the Infinite System; A New Theory of Shock Dynamics: Analytic Considerations; A New Theory of Shock.
505 0 $aDynamics: Comparison of Numerical Results with the Exact Solution; Conclusion; ONE-DIMENSIONAL PISTON PROBLEM: AN APPLICATION OF NTSD; Formulation of the Problem; Dynamical Compatibility Conditions; Initial Conditions for the Piston Problem; Results and Discussions; COMPATIBILITY CONDITIONS ON A MULTI-DIMENSIONAL SHOCK; Shock Rays; Shock Manifold Equation for a Weak Shock; Geometrical and Kinematical Compatibility Conditions; Dynamical Compatibility Conditions; A Weak Shock Ray Theory; PROPAGATION OF A CURVED WEAK SHOCK; Governing Equations of the NTSD; Conservation Form of the Equations for a 2-Dimensional Shock Propagation; Initial Conditions, Results, and Discussion; Comparison with other Theories; Corrugational Stability and Persistence of a Kink.
520 8 $aAnnotation$bThe propagation of curved, nonlinear wavefronts and shock fronts are very complex phenomena. Since the 1993 publication of his work Propagation of a Curved Shock and Nonlinear Ray Theory, author Phoolan Prasad and his research group have made significant advances in the underlying theory of these phenomena. This volume presents their results and provides a self-contained account and gradual development of mathematical methods for studying successive positions of these fronts.Nonlinear Hyperbolic Waves in Multidimensions includes all introductory material on nonlinear hyperbolic waves and the theory of shock waves. The author derives the ray theory for a nonlinear wavefront, discusses kink phenomena, and develops a new theory for plane and curved shock propagation. He also derives a full set of conservation laws for a front propagating in two space dimensions, and uses these laws to obtain successive positions of a front with kinks. The treatment includes examples of the theory applied to converging wavefronts in gas dynamics, a graphical presentation of the results of extensive numerical computations, and an extension of Fermat's principle. There is also a chapter containing approximate equations used to discuss stability of steady transonic flows.Full of new and original results, Nonlinear Hyperbolic Waves in Multidimensions is your only opportunity to explore a full treatment of these recent findings in book form. The material presented in this volume will prove useful not only for solving practical problems, but also in raising many difficult but important mathematical questions that remain open.
650 0 $aNonlinear wave equations.
650 0 $aDifferential equations, Hyperbolic.
650 6 $aÉquations d'onde non linéaires.
650 6 $aÉquations différentielles hyperboliques.
650 7 $aSCIENCE$xWaves & Wave Mechanics.$2bisacsh
650 7 $aDifferential equations, Hyperbolic.$2fast$0(OCoLC)fst00893463
650 7 $aNonlinear wave equations.$2fast$0(OCoLC)fst01038819
655 4 $aElectronic books.
776 08 $iPrint version:$aPrasad, Phoolan.$tNonlinear hyperbolic waves in multi-dimensions.$dBoca Raton, Fla. : Chapman & Hall/CRC, ©2001$z1584880724$w(DLC) 2001017331$w(OCoLC)45861957
830 0 $aChapman & Hall/CRC monographs and surveys in pure and applied mathematics ;$v121.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio15068447$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS