Author: Max Bonnefille
Publisher:
ISBN:
Category :
Languages : fr
Pages : 159
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Book Description
NOUS ETUDIONS DES SYSTEMES HYPERBOLIQUES NON LINEAIRES, AVEC DES CONDITIONS INITIALES OSCILLANTES. LA PREMIERE PARTIE UTILISE LA THEORIE DE LA COMPACITE PAR COMPENSATION QUI PERMET D'EXPRIMER LA LIMITE FAIBLE DE TOUTE SUITE DE FONCTION CONTINUE D'UNE SOLUTION DU SYSTEME CONSIDERE. ON DEMONTRE NOTAMMENT UN RESULTAT DE CONVERGENCE POUR UN CAS DE SYSTEME LINEAIREMENT DEGENERE PARTICULIER DE 3 EQUATIONS QUI EST UNE GENERALISATION DU CAS DE 2 EQUATIONS. UN SYSTEME INTEGRO-DIFFERENTIEL EST OBTENU LORS DE L'ETUDE D'UN SYSTEME DE 2 EQUATIONS DONT LES CHAMPS CARACTERISTIQUES NE SONT PAS DE MEME TYPE. ENFIN, SUITE A UNE ANALYSE PRECEDEMMENT ETABLIE (SYSTEME LINEAIREMENT DEGENERE DE 2 EQUATIONS), UNE APPROCHE NUMERIQUE EST EFFECTUEE. LA DEUXIEME PARTIE EST CONSACREE D'UNE PART, A DES TESTS NUMERIQUES PORTANT SUR LE SYSTEME DES EQUATIONS D'EULER ET, D'AUTRE PART, A UN SYSTEME DE 4 EQUATIONS SUR LEQUEL, DANS UN CAS PARTICULIER, ON OBTIENT DES RESULTATS SUR LE TYPE DE CONVERGENCE
Author: Bruno Després
Publisher: Editions Ecole Polytechnique
ISBN: 9782730212533
Category : Conservation laws (Physics)
Languages : fr
Pages : 212
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Book Description
Author: Denis Serre
Publisher: Cambridge University Press
ISBN: 9780521633307
Category : Law
Languages : en
Pages : 286
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Book Description
A graduate text on mathematical theory of conservation laws and partial differential equations.
Author: James Glimm
Publisher: Springer Science & Business Media
ISBN: 1461391210
Category : Mathematics
Languages : en
Pages : 399
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Book Description
This IMA Volume in Mathematics and its Applications MULTIDIMENSIONAL HYPERBOLIC PROBLEMS AND COMPUTATIONS is based on the proceedings of a workshop which was an integral part ofthe 1988-89 IMA program on NONLINEAR WAVES. We are grateful to the Scientific Commit tee: James Glimm, Daniel Joseph, Barbara Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing an exciting and stimulating year-long program. We especially thank the Work shop Organizers, Andrew Majda and James Glimm, for bringing together many of the major figures in a variety of research fields connected with multidimensional hyperbolic problems. A vner Friedman Willard Miller PREFACE A primary goal of the IMA workshop on Multidimensional Hyperbolic Problems and Computations from April 3-14, 1989 was to emphasize the interdisciplinary nature of contemporary research in this field involving the combination of ideas from the theory of nonlinear partial differential equations, asymptotic methods, numerical computation, and experiments. The twenty-six papers in this volume span a wide cross-section of this research including some papers on the kinetic theory of gases and vortex sheets for incompressible flow in addition to many papers on systems of hyperbolic conservation laws. This volume includes several papers on asymptotic methods such as nonlinear geometric optics, a number of articles applying numerical algorithms such as higher order Godunov methods and front tracking to physical problems along with comparison to experimental data, and also several interesting papers on the rigorous mathematical theory of shock waves.
Author: Constantine M. Dafermos
Publisher: Springer Science & Business Media
ISBN: 3662220199
Category : Mathematics
Languages : en
Pages : 450
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Book Description
This masterly exposition of the mathematical theory of hyperbolic system laws brings out the intimate connection with continuum thermodynamics, emphasizing issues in which the analysis may reveal something about the physics and, in return, the underlying physical structure may direct and drive the analysis.
Author: Claude Carasso
Publisher: Springer
ISBN: 3540478051
Category : Mathematics
Languages : en
Pages : 356
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Book Description
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.
Author: Bruno Sévennec
Publisher:
ISBN:
Category : Conservation laws (Mathematics)
Languages : fr
Pages : 136
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Author: Laurent Emmanuel Gosse
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
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Book Description
On s'intéresse dans cette thèse à l'étude des systèmes hyperboliques de lois de conservation non-linéaires avec termes sources. D'un point de vue théorique, on commence par étudier le problème de Riemann généralisé. Ensuite, on montre qu'une condition suffisante de convergence des approximations visqueuses pour une loi scalaire non-homogène est d'assurer une estimation uniforme en amplitude. Le problème est plus délicat pour un système. L'étude des discrétisations implicites d'une loi scalaire générale montre qu'il existe des conditions de type CFL pour garantir l'invisibilité du schéma et prévenir l'apparition d'oscillations parasites dans la solution numérique. On introduit ensuite un schéma "well-balanced" au sens de Greenberg et Leroux convergeant vers la solution entropique dans le cas scalaire. L'extension aux systèmes généraux se fait par le biais d'une reformulation des termes sources en produits non-conservatifs. On calcule alors une linéarisée de type Roe pour les équations d'Euler non-homogènes. Par souci de robustesse, on dérive aussi un schéma de type "décomposition de flux" non-conservatif permettant d'approcher des systèmes variés et consistant avec les limites relaxées. Des tests sont aussi effectués en régime résonant et pour des problèmes diphasiques simplifiés bidimensionnels.
Author: Peter D. Lax
Publisher: SIAM
ISBN: 9781611970562
Category : Technology & Engineering
Languages : en
Pages : 53
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Book Description
This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown.
Author: Haim Brézis
Publisher: Pitman Advanced Publishing Program
ISBN:
Category : Mathematics
Languages : en
Pages : 260
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Book Description
