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Author: Jean-Paul Zolesio Publisher: CRC Press ISBN: 9780824792749 Category : Mathematics Languages : en Pages : 422
Book Description
Based on the Working Conference on Boundary Control and Boundary Variation held in Sophia-Antipolis, France, this work provides important examinations of shape optimization and boundary control of hyperbolic systems, including free boundary problems and stabilization. It offers a new approach to large and nonlinear variation of the boundary using global Eulerian co-ordinates and intrinsic geometry.
Author: Jean-Paul Zolesio Publisher: CRC Press ISBN: 9780824792749 Category : Mathematics Languages : en Pages : 422
Book Description
Based on the Working Conference on Boundary Control and Boundary Variation held in Sophia-Antipolis, France, this work provides important examinations of shape optimization and boundary control of hyperbolic systems, including free boundary problems and stabilization. It offers a new approach to large and nonlinear variation of the boundary using global Eulerian co-ordinates and intrinsic geometry.
Author: Edwige Godlewski Publisher: Springer Science & Business Media ISBN: 1461207134 Category : Mathematics Languages : en Pages : 519
Book Description
This work is devoted to the theory and approximation of nonlinear hyper bolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors, and we shall make frequent references to Godlewski and Raviart (1991) (hereafter noted G. R. ), though the present volume can be read independently. This earlier publication, apart from a first chap ter, especially covered the scalar case. Thus, we shall detail here neither the mathematical theory of multidimensional scalar conservation laws nor their approximation in the one-dimensional case by finite-difference con servative schemes, both of which were treated in G. R. , but we shall mostly consider systems. The theory for systems is in fact much more difficult and not at all completed. This explains why we shall mainly concentrate on some theoretical aspects that are needed in the applications, such as the solution of the Riemann problem, with occasional insights into more sophisticated problems. The present book is divided into six chapters, including an introductory chapter. For the reader's convenience, we shall resume in this Introduction the notions that are necessary for a self-sufficient understanding of this book -the main definitions of hyperbolicity, weak solutions, and entropy present the practical examples that will be thoroughly developed in the following chapters, and recall the main results concerning the scalar case.
Book Description
ANALYSE D'ECOULEMENTS COMPRESSIBLES REGIS PAR UNE LOI QUADRATIQUE DE PERTE DE CHARGE. LA MODELISATION CONDUIT A UNE EQUATION PARABOLIQUE NON LINEAIRE DEGENEREE. APPROXIMATION NUMERIQUE D'UN PROBLEME A FRONTIERE LIBRE D'EVOLUTION, MODELISANT LE DEPLACEMENT DE L'INTERFACE DE DEUX FLUIDES NON MISCIBLES INCOMPRESSIBLES. HOMOGENEISATION D'EQUATIONS HYPERBOLIQUES DU PREMIER ORDRE INTERVENANT DANS DEUX MODELES D'ECOULEMENTS MISCIBLES INCOMPRESSIBLES
Author: Jean-Paul Zolesio
Author: Jean-Paul Zolesio
Author: Edwige Godlewski
Author: 
Author: Trong T. Bui
Author: Youcef Amirat