Download or read book Propagation Interaction and Reflection of Discontinuous Progressing Waves for Semilinear Hyperbolic Systems written by Guy Métivier and published by . This book was released on 1986 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Analysis of Singularities for Partial Differential Equations written by Shuxing Chen and published by World Scientific. This book was released on 2011 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.

Download or read book Recent Developments in Hyperbolic Equations written by Lamberto Cattabriga and published by Longman Scientific and Technical. This book was released on 1988 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Journal of Partial Differential Equations written by and published by . This book was released on 1990 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annals of Differential Equations written by and published by . This book was released on 2004 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2009 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dong bei shu xue written by and published by . This book was released on 1985 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Interaction of Progressing Waves for Semilinear Wave Equations written by Richard B. Melrose and published by . This book was released on 1985 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book INVERSE PROBLEMS FOR PROPAGATION OF DISCONTINUOUS PROGRESSING WAVES written by BRYANT EDWARD RUSSELL and published by . This book was released on 1987 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: symmetric hyperbolic system are determined by the symmetric part of the lower order term.

Download or read book Partial Differential Equations in China written by Chaohao Gu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few years there has been a fruitful exchange of expertise on the subject of partial differential equations (PDEs) between mathematicians from the People's Republic of China and the rest of the world. The goal of this collection of papers is to summarize and introduce the historical progress of the development of PDEs in China from the 1950s to the 1980s. The results presented here were mainly published before the 1980s, but, having been printed in the Chinese language, have not reached the wider audience they deserve. Topics covered include, among others, nonlinear hyperbolic equations, nonlinear elliptic equations, nonlinear parabolic equations, mixed equations, free boundary problems, minimal surfaces in Riemannian manifolds, microlocal analysis and solitons. For mathematicians and physicists interested in the historical development of PDEs in the People's Republic of China.

Download or read book Indiana University Mathematics Journal written by Indiana University. Department of Mathematics and published by . This book was released on 1992 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book written by and published by . This book was released on 1990 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Classical and Relativistic Rational Extended Thermodynamics of Gases written by Tommaso Ruggeri and published by Springer Nature. This book was released on 2021-04-22 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rational extended thermodynamics (RET) is the theory that is applicable to nonequilibrium phenomena out of local equilibrium. It is expressed by the hyperbolic system of field equations with local constitutive equations and is strictly related to the kinetic theory with the closure method of the hierarchies of moment equations. The book intends to present, in a systematic way, new results obtained by RET of gases in both classical and relativistic cases, and it is a natural continuation of the book "Rational Extended Thermodynamics beyond the Monatomic Gas" by the same authors published in 2015. However, this book addresses much wider topics than those of the previous book. Its contents are as follows: RET of rarefied monatomic gases and of polyatomic gases; a simplified RET theory with 6 fields being valid far from equilibrium; RET where both molecular rotational and vibrational modes exist; mixture of gases with multi-temperature. The theory is applied to several typical topics (sound waves, shock waves, etc.) and is compared with experimental data. From a mathematical point of view, RET can be regarded as a theory of hyperbolic symmetric systems, of which it is possible to conduct a qualitative analysis. The book represents a valuable resource for applied mathematicians, physicists, and engineers, offering powerful models for many potential applications such as reentering satellites into the atmosphere, semiconductors, and nanoscale phenomena.

Download or read book Partial Differential Equations in Action written by Sandro Salsa and published by Springer. This book was released on 2015-04-24 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems.

Download or read book Mathematics of Wave Phenomena written by Willy Dörfler and published by Springer Nature. This book was released on 2020-10-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.

Download or read book Nonlinear Dispersive Equations written by Jaime Angulo Pava and published by American Mathematical Soc.. This book was released on 2009 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained presentation of classical and new methods for studying wave phenomena that are related to the existence and stability of solitary and periodic travelling wave solutions for nonlinear dispersive evolution equations. Simplicity, concrete examples, and applications are emphasized throughout in order to make the material easily accessible. The list of classical nonlinear dispersive equations studied include Korteweg-de Vries, Benjamin-Ono, and Schrodinger equations. Many special Jacobian elliptic functions play a role in these examples. The author brings the reader to the forefront of knowledge about some aspects of the theory and motivates future developments in this fascinating and rapidly growing field. The book can be used as an instructive study guide as well as a reference by students and mature scientists interested in nonlinear wave phenomena.