Transport Equations and Multi-D 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 Transport Equations and Multi-D Hyperbolic Conservation Laws write by Luigi Ambrosio. This book was released on 2008-02-17. Transport Equations and Multi-D Hyperbolic Conservation Laws available in PDF, EPUB and Kindle. 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.
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.
Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves
Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves - 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 Systems of Conservation Laws and the Mathematical Theory of Shock Waves write by Peter D. Lax. This book was released on 1973-01-01. Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves available in PDF, EPUB and Kindle. This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown.
Front Tracking for Hyperbolic Conservation Laws
Front Tracking 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 Front Tracking for Hyperbolic Conservation Laws write by Helge Holden. This book was released on 2015-12-10. Front Tracking for Hyperbolic Conservation Laws available in PDF, EPUB and Kindle. This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions and the detailed solution of the Riemann problem for the Euler equations. Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews of the first edition: "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.
One-dimensional Hyperbolic Conservation Laws And Their Applications
One-dimensional Hyperbolic Conservation Laws And Their 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 One-dimensional Hyperbolic Conservation Laws And Their Applications write by Jean-michel Coron. This book was released on 2019-01-08. One-dimensional Hyperbolic Conservation Laws And Their Applications available in PDF, EPUB and Kindle. This book is a collection of lecture notes for the LIASFMA Shanghai Summer School on 'One-dimensional Hyperbolic Conservation Laws and Their Applications' which was held during August 16 to August 27, 2015 at Shanghai Jiao Tong University, Shanghai, China. This summer school is one of the activities promoted by Sino-French International Associate Laboratory in Applied Mathematics (LIASFMA in short). LIASFMA was established jointly by eight institutions in China and France in 2014, which is aimed at providing a platform for some of the leading French and Chinese mathematicians to conduct in-depth researches, extensive exchanges, and student training in the field of applied mathematics. This summer school has the privilege of being the first summer school of the newly established LIASFMA, which makes it significant.
