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 2011-04-19. 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.
Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws
Nonlinear Stability of Finite Volume Methods for 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 Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws write by François Bouchut. This book was released on 2004-06-25. Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws available in PDF, EPUB and Kindle. The schemes are analyzed regarding their nonlinear stability Recently developed entropy schemes are presented A formalism is introduced for source terms
Hyperbolic Conservation Laws and Related Analysis with Applications
Hyperbolic Conservation Laws and Related Analysis with 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 Hyperbolic Conservation Laws and Related Analysis with Applications write by Gui-Qiang G. Chen. This book was released on 2013-09-18. Hyperbolic Conservation Laws and Related Analysis with Applications available in PDF, EPUB and Kindle. This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications. Topics covered include a survey on multidimensional systems of conservation laws as well as novel results on liquid crystals, conservation laws with discontinuous flux functions, and applications to sedimentation. Also included are articles on recent advances in the Euler equations and the Navier-Stokes-Fourier-Poisson system, in addition to new results on collective phenomena described by the Cucker-Smale model. The Workshop on Hyperbolic Conservation Laws and Related Analysis with Applications at the International Centre for Mathematical Sciences (Edinburgh, UK) held in Edinburgh, September 2011, produced this fine collection of original research and survey articles. Many leading mathematicians attended the event and submitted their contributions for this volume. It is addressed to researchers and graduate students interested in partial differential equations and related analysis with applications.
Numerical Methods for Conservation Laws
Numerical Methods for 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 Numerical Methods for Conservation Laws write by LEVEQUE. This book was released on 2013-11-11. Numerical Methods for Conservation Laws available in PDF, EPUB and Kindle. These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.
Kinetic Formulation of Conservation Laws
Kinetic Formulation of 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 Kinetic Formulation of Conservation Laws write by B. Perthame. This book was released on 2002-12-05. Kinetic Formulation of Conservation Laws available in PDF, EPUB and Kindle. 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).
