Some Current Topics on Nonlinear Conservation Laws - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Some Current Topics on Nonlinear Conservation Laws write by Ling Hsiao. This book was released on 2000. Some Current Topics on Nonlinear Conservation Laws available in PDF, EPUB and Kindle. 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 This collection of lectures represents previously unpublished expository and research results of experts in nonlinear conservation laws and is an excellent reference for researchers and advanced graduate students in the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.
Some Topics on Nonlinear Conservation Laws
Some Topics on Nonlinear Conservation Laws - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Some Topics on Nonlinear Conservation Laws write by Ben Duan. This book was released on 2007. Some Topics on Nonlinear Conservation Laws available in PDF, EPUB and Kindle.
Nonlinear Conservation Laws, Fluid Systems and Related Topics
Nonlinear Conservation Laws, Fluid Systems and Related Topics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Conservation Laws, Fluid Systems and Related Topics write by Gui-Qiang Chen. This book was released on 2009. Nonlinear Conservation Laws, Fluid Systems and Related Topics available in PDF, EPUB and Kindle. This book is a collection of lecture notes on Nonlinear Conservation Laws, Fluid Systems and Related Topics delivered at 2007 Shanghai Mathematics Summer School held at Fudan University, China, by world's leading experts in the field. The volume comprises ªve chapters that cover a range of topics from mathematical theory and numerical approximation of both incompressible and compressible ªuid ªows, kinetic theory and conservation laws, to statistical theories for ªuid systems. Researchers and graduate students who want to work in this field will benefit from this essential reference as each chapter leads readers from the basics to the frontiers of the current research in these areas.
Nonlinear Conservation Laws and Applications
Nonlinear Conservation Laws and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Conservation Laws and Applications write by Alberto Bressan. This book was released on 2011-04-26. Nonlinear Conservation Laws and Applications available in PDF, EPUB and Kindle. This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 13--31, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection provides a timely survey of the state of the art in this exciting field, and a comprehensive outlook on open problems. Contributions of more theoretical nature cover the following topics: global existence and uniqueness theory of one-dimensional systems, multidimensional conservation laws in several space variables and approximations of their solutions, mathematical analysis of fluid motion, stability and dynamics of viscous shock waves, singular limits for viscous systems, basic principles in the modeling of turbulent mixing, transonic flows past an obstacle and a fluid dynamic approach for isometric embedding in geometry, models of nonlinear elasticity, the Monge problem, and transport equations with rough coefficients. In addition, there are a number of papers devoted to applications. These include: models of blood flow, self-gravitating compressible fluids, granular flow, charge transport in fluids, and the modeling and control of traffic flow on networks.
Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws
Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws write by Rainer Ansorge. This book was released on 2012-09-14. Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws available in PDF, EPUB and Kindle. In January 2012 an Oberwolfach workshop took place on the topic of recent developments in the numerics of partial differential equations. Focus was laid on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.
