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).
Conservation Laws and Kinetic Equations
Title | Conservation Laws and Kinetic Equations PDF eBook |
Author | Damián H. Zanette |
Publisher | |
Pages | 6 |
Release | 1990 |
Genre | |
ISBN |
Uncertainty Quantification for Hyperbolic and Kinetic Equations
Title | Uncertainty Quantification for Hyperbolic and Kinetic Equations PDF eBook |
Author | Shi Jin |
Publisher | Springer |
Pages | 282 |
Release | 2018-03-20 |
Genre | Mathematics |
ISBN | 3319671103 |
This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. The interest in these topics is rapidly growing, as their applications have now expanded to many areas in engineering, physics, biology and the social sciences. Accordingly, the book provides the scientific community with a topical overview of the latest research efforts.
Conservation Laws
Title | Conservation Laws PDF eBook |
Author | Benjamin Crowell |
Publisher | Light and Matter |
Pages | 170 |
Release | 2001 |
Genre | Science |
ISBN | 0970467028 |
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 |
College Physics for AP® Courses
Title | College Physics for AP® Courses PDF eBook |
Author | Irna Lyublinskaya |
Publisher | |
Pages | 1665 |
Release | 2015-07-31 |
Genre | Physics |
ISBN | 9781938168932 |
"This introductory, algebra-based, two-semester college physics book is grounded with real-world examples, illustrations, and explanations to help students grasp key, fundamental physics concepts. ... This online, fully editable and customizable title includes learning objectives, concept questions, links to labs and simulations, and ample practice opportunities to solve traditional physics application problems."--Website of book.