5 edition of **Nonlinear Hyperbolic Equations (Notes on numerical fluid mechanics)** found in the catalog.

Nonlinear Hyperbolic Equations (Notes on numerical fluid mechanics)

Josef Ballmann

- 219 Want to read
- 33 Currently reading

Published
**August 2, 1989**
by Friedrich Vieweg & Sohn Verlag
.

Written in English

- Congresses,
- Differential equations, Hyperbolic,
- Differential equations, Nonlinear

The Physical Object | |
---|---|

Format | Perfect Paperback |

Number of Pages | 728 |

ID Numbers | |

Open Library | OL9053146M |

ISBN 10 | 3528080981 |

ISBN 10 | 9783528080983 |

Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. PDEs is developed. and weakly nonlinear methods of analysis are described: the latter are illustrated by a derivation of Burgers' equation. Chapters can form t,he basis of a one-semester course focusing on wave propagation. characteristics, and hyperbolic equations. Chapter 5 introduces diffusion processes. After establishing a probabilist,ic.

Table of Contents Contains the proceedings of a workshop on nonlinear hyperbolic equations held at Varenna, Italy in June Some remarks about the instability of the vortex patch problem Fourth . Wave equations of hyperbolic, Schrödinger, and KdV type are discussed, as well as the Yang–Mills and the Vlasov–Maxwell equations. The book offers readers a broad overview of the field and an understanding of the most recent developments, as well as the status of some important unsolved problems. Intended for mathematicians and physicists.

The homogenization of hyperbolic equations with periodic velocity ﬂeld has been studied previously [21, 12] by considering the limit of the solutions as the period size approaches to zero. In [6] the homogenization of nonlinear hyperbolic equation using the two-scale convergence concept is studied, where strong two-scale convergence. This book contains more than 1, nonlinear mathematical physics equations and non- linear partial differential equations and their solutions. A large number of ne w exact so-.

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This introduction to the theory of nonlinear hyperbolic differential equations, a revised and extended version of widely circulated lecture notes fromstarts from a very elementary level with standard existence and uniqueness theorems for ordinary differential equations, but they are at once supplemented with less well-known material, required later by: The content of this book Nonlinear Hyperbolic Equations book to a one-semester course taught at the University of Paris-Sud (Orsay) in the spring It is accessible to students or researchers with a basic elementary knowledge of Partial Dif ferential Equations, especially of hyperbolic PDE (Cauchy problem, wave operator, energy inequality, finite speed of propagation, symmetric systems, etc.).Cited by: Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications Proceedings of the Second International Conference on Nonlinear Hyperbolic Problems, Aachen, FRG, March 14 to 18, Search within book.

TVD Schemes to Compute Compressible Viscous Flows on Unstructured Meshes. Philippe Rostand, Bruno Stoufflet. This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to both initial value problems and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems.

Most of the material is based on recent research carried out by the author and his collaborators. This book discusses as well nonlinear hyperbolic equations in further contributions, featuring stability properties of periodic and almost periodic solutions.

The reader is also introduced to the stability problem of the equilibrium of a chemical network. The final chapter deals with suitable spaces for studying functional Edition: 1. Get this from a library. Nonlinear hyperbolic equations and related topics in fluid dynamics.

[Takaaki Nishida; Université Paris-Sud. Département de mathématique.]. nonlinear perturbations of the wave or Klein-Gordon equation with small initial data.

Four chapters are devoted to microanalysis of the singularities of the solutions. This book introduces graduate students and researchers in mathematics and the sciences to the multifaceted subject of the equations of hyperbolic type, which are.

About this book Introduction It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. QUENCHING OF SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS WITH DAMPING JIANMIN ZHU A hyperbolic initial-boundary value problem with nonlinear damping and singular source terms is studied.

A criterion for a solution to reach the value 1 in a ﬁnite time is established. The book explores approximate methods that use analytical procedures to obtain solutions in the form of functions approximating solutions of nonlinear problems.

Approximate methods include integral equations, boundary theory, maximum operation, and equations of elliptic types. About this book On the occasion of the International Conference on Nonlinear Hyperbolic Problems held in St. Etienne, France, it was decided to start a two years cycle of conferences on this very rapidly expanding branch of mathematics and its applications in Brand: Vieweg+Teubner Verlag.

Second, whereas equation () appears to make sense only if u is differentiable, the solution formula () requires no differentiability of u0. In general, we allow for discontinuous solutions for hyperbolic problems. An example of a discontinuous solution is a shock wave, which is a feature of solutions of nonlinear hyperbolic equations.

linear evolution equations. The material in this book has been used in recent years as lecture notes for the graduate students at Fudan Uni-versity. Nonlinear evolution equations, i.e., partial diﬀerential equations with Examples of applications to nonlinear parabolic equations and nonlinear hyperbolic equations are presented.

Apart from that the book only studies classical solutions. Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave 4/5(1).

I suggest: S. Alinhac, Hyperbolic partial differential equations, Springer Universitext, The classic PDE book by F. John also gives a solid introduction to hyperbolic equations and systems, however his style of writing differs somewhat from todays. $\end{document} This problem is known as the inverse initial problem for the nonlinear hyperbolic equation with damping term and it is ill-posed in the sense of Hadamard.

In order to stabilize the solution, we propose the filter regularization method to regularize the solution. This book covers the following topics: Laplace's equations, Sobolev spaces, Functions of one variable, Elliptic PDEs, Heat flow, The heat equation, The Fourier transform, Parabolic equations, Vector-valued functions and Hyperbolic equations.

Book Description This work examines the mathematical aspects of nonlinear wave propagation, emphasizing nonlinear hyperbolic problems. It introduces the tools that are most effective for exploring the problems of local and global existence, singularity formation, and large-time behaviour of solutions, and for the study of perturbation methods.

This book is intended as a self-contained exposition of hyperbolic functional dif ferential inequalities and their applications. Its aim is to give a systematic and unified presentation of recent developments of the following problems: (i) functional differential inequalities generated by initial.

Nonlinear Partial Differential Equations and Hyperbolic Wav Contemporary Mathematics, Band : Holden, Helge, Karlsen, Kenneth H.: Fremdsprachige Bücher.Numerical Error Estimation for Nonlinear Hyperbolic PDEs via Nonlinear Error TransportI J. W. Banks, J.

A. F. Hittinger, J. M. Connors, C. S. Woodward. New to the Second EditionMore than 1, pages with over 1, new first- second- third- fourth- and higher-order nonlinear equations with solutionsParabolic, hyperbolic, elliptic, and other systems of equations with solutionsSome exact methods and transformationsSymbolic and numerical methods for solving nonlinear PDEs with Maple Mathematica.