Blick ins Buch

Nonlinear Hyperbolic Problems

Proceedings of an Advanced Research Workshop held in St. Etienne, France, January 13-17, 1986

Claude Carasso, Pierre-Arnaud Raviart, Denis Serre (Herausgeber)

Buch | Softcover

XVIII, 342 Seiten

1987
Springer Berlin (Verlag)
978-3-540-18200-9 (ISBN)

Lese- und Medienproben

Inhaltsverzeichnis (PDF)

Artikel merken

The field of nonlinear hyperbolic problems has been expanding very fast over the past few years, and has applications - actual and potential - in aerodynamics, multifluid flows, combustion, detonics amongst other. The difficulties that arise in application are of theoretical as well as numerical nature. In fact, the papers in this volume of proceedings deal to a greater extent with theoretical problems emerging in the resolution of nonlinear hyperbolic systems than with numerical methods. The volume provides an excellent up-to-date review of the current research trends in this area.

Approximate solution of the generalized Riemann problem and applications.- Computation of oscillatory solutions to partial differential equations.- Preliminary results on the extension of eno schemes to two-dimensional problems.- Upwind differencing schemes for hyperbolic conservation laws with source terms.- The entropy dissipation by numerical viscosity in nonlinear conservative difference schemes.- 2-D and 3-D Euler computations with finite element methods in aerodynamics.- A "box-scheme" for the euler equations.- Numerical techniques in elastoplasticity.- An implicit centered scheme which gives non-oscillatory steady shocks.- A computer-aided system for investigation and construction of difference schemes of gas dynamics.- Lois de conservation et integrales d'energie des equations hyperboliques.- On symmetrizing hyperbolic differential equations.- A survey of nonstrictly hyperbolic conservation laws.- Admissibility criteria for phase boundaries.- The transformation from Eulerian to Lagrangian coordinates for solutions with discontinuities.- Two existence theorems for systems of conservation laws with dissipation.- Global solutions to some free boundary problems for quasilinear hyperbolic systems and applications.- Un theoreme d'existence globale en elasticite non lineaire mono-dimensionnelle.- A nonhomogeneous system of equations of nonisentropic gas dynamics.- Far field boundary conditions for steady state solutions to hyperbolic systems.- Can hyperbolic systems of conservation laws be well-posed in BV(R;RN)?.- Propagation des oscillations dans les systemes hyperboliques non lineaires.- Stability and decay in systems of conservation laws.- Different approach for the relation between the kinetic and the macroscopic equations.- Integrable transport processes.

Erscheint lt. Verlag	12.8.1987
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	XVIII, 342 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	544 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	differential equation • Finite Element Method • hyperbolic system • Integral • numerical method • partial differential equation • stability
ISBN-10	3-540-18200-4 / 3540182004
ISBN-13	978-3-540-18200-9 / 9783540182009
Zustand	Neuware