Kinetic Formulation of Conservation Laws
Title | Kinetic Formulation of Conservation Laws PDF eBook |
Author | B. Perthame |
Publisher | Oxford University Press |
Pages | 212 |
Release | 2002-12-05 |
Genre | Language Arts & Disciplines |
ISBN | 9780198509134 |
Written by a well-known expert in the field, the focus of this book is on an innovative mathematical and numerical theory which applies to classical models of physics such as shock waves and balance laws. The text is based on early works in common with P.L. Lions (field medalist).
Kinetic Decomposition of Approximate Solutions to Conservation Laws
Title | Kinetic Decomposition of Approximate Solutions to Conservation Laws PDF eBook |
Author | Seok Hwang |
Publisher | |
Pages | 76 |
Release | 2002 |
Genre | |
ISBN |
A New Convergence Proof for Finite Volume Schemes Using the Kinetic Formulation of Conservation Laws
Title | A New Convergence Proof for Finite Volume Schemes Using the Kinetic Formulation of Conservation Laws PDF eBook |
Author | Sebastian Noelle |
Publisher | |
Pages | 19 |
Release | 1997 |
Genre | |
ISBN |
Some Current Topics on Nonlinear Conservation Laws
Title | Some Current Topics on Nonlinear Conservation Laws PDF eBook |
Author | Ling Hsiao |
Publisher | American Mathematical Soc. |
Pages | 260 |
Release | 2000 |
Genre | Mathematics |
ISBN | 0821819658 |
This volume resulted from a year-long program at the Morningside Center of Mathematics at the Academia Sinica in Beijing. It presents an overview of nonlinear conversation laws and introduces developments in this expanding field. Zhouping Xin's introductory overview of the subject is followed by lecture notes of leading experts who have made fundamental contributions to this field of research. A. Bressan's theory of $-well-posedness for entropy weak solutions to systems of nonlinear hyperbolic conversation laws in the class of viscosity solutions is one of the most important results in the past two decades; G. Chen discusses weak convergence methods and various applications to many problems; P. Degond details mathematical modelling of semi-conductor devices; B. Perthame describes the theory of asymptotic equivalence between conservation laws and singular kinetic equations; Z. Xin outlines the recent development of the vanishing viscosity problem and nonlinear stability of elementary wave-a major focus of research in the last decade; and the volume concludes with Y. Zheng's lecture on incompressible fluid dynamics. This collection of lectures represents previously unpublished expository and research results of experts in nonlinear conservation laws and is an excellent reference for researchers and advanced graduate students in the areas of nonlinear partial differential equations and nonlinear analysis. Titles in this series are co-published with International Press, Cambridge, MA.
A Kinetic Equation with Kinetic Entropy Functions for Scalar Conservation Laws
Title | A Kinetic Equation with Kinetic Entropy Functions for Scalar Conservation Laws PDF eBook |
Author | Institute for Computer Applications in Science and Engineering |
Publisher | |
Pages | 28 |
Release | 1990 |
Genre | |
ISBN |
Conservation Laws and Kinetic Equations
Title | Conservation Laws and Kinetic Equations PDF eBook |
Author | Damián H. Zanette |
Publisher | |
Pages | 6 |
Release | 1990 |
Genre | |
ISBN |
Transport Equations and Multi-D Hyperbolic Conservation Laws
Title | Transport Equations and Multi-D Hyperbolic Conservation Laws PDF eBook |
Author | Luigi Ambrosio |
Publisher | Springer Science & Business Media |
Pages | 141 |
Release | 2008-02-17 |
Genre | Mathematics |
ISBN | 3540767819 |
The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements. This volume provides an up-to-date overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws. The captivating volume contains surveys of recent deep results and provides an overview of further developments and related open problems. Readers should have basic knowledge of PDE and measure theory.