03037nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024002400137100002600161245011400187250000900301264004200310300002100352336002600373337002600399338003600425347002400461490007800485505032700563520114900890650001702039650002802056650003702084650002602121650001702147650003602164650003702200650003302237650003702270700002602307710003402333773002002367776003602387830007802423856009002501978-0-8176-4635-6DE-He21320260521092029.0cr nn 008mamaa100301s2009    xxu|    s    |||| 0|eng d  a9780817646356  a997808176463567 a10.1007/b783352doi1 aTatsien, Li.eauthor.10aGlobal Propagation of Regular Nonlinear Hyperbolic Wavesh[electronic resource] /cby Li Tatsien, Wang Libin.  a1st. 1aBoston :bBirkhäuser Boston,c2009.  bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aProgress in Nonlinear Differential Equations and Their Applications ;v760 aPreliminaries -- The Cauchy Problem -- The Cauchy Problem (Continued) -- Cauchy Problem on a Semibounded Initial Axis -- One-Sided Mixed Initial-Boundary Value Problem -- Generalized Riemann Problem -- Generalized Nonlinear Initial-Boundary Riemann Problem -- Inverse Generalized Riemann Problem -- Inverse Piston Problem.  aThis monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension. The exposition is clear, concise, and unfolds systematically, beginning with introductory material which leads to the original research of the authors. Using the concept of weak linear degeneracy and the method of (generalized) normalized coordinates, this book establishes a systematic theory for the global existence and blowup mechanism of regular nonlinear hyperbolic waves with small amplitude for the Cauchy problem, the Cauchy problem on a semi-bounded initial data, the one-sided mixed initial-boundary value problem, the generalized Riemann problem, the generalized nonlinear initial-boun dary Riemann problem, and some related inverse problems. Motivation is given via a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves. Global Propagation of Regular Nonlinear Hyperbolic Waves will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves. 0aMATHEMATICS. 0aDIFFERENTIAL EQUATIONS. 0aDIFFERENTIAL EQUATIONS, PARTIAL. 0aMATHEMATICAL PHYSICS.14aMATHEMATICS.24aPARTIAL DIFFERENTIAL EQUATIONS.24aORDINARY DIFFERENTIAL EQUATIONS.24aAPPLICATIONS OF MATHEMATICS.24aMATHEMATICAL METHODS IN PHYSICS.1 aLibin, Wang.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817642440 0aProgress in Nonlinear Differential Equations and Their Applications ;v7640uhttp://dx.doi.org/10.1007/b78335zVer el texto completo en las instalaciones del CICY