6 edition of **Shock waves and reaction-diffusion equations** found in the catalog.

- 224 Want to read
- 35 Currently reading

Published
**1983** by Springer-Verlag in New York .

Written in English

- Shock waves.,
- Reaction-diffusion equations.

**Edition Notes**

Bibliography: p. [557]-569.

Statement | Joel Smoller. |

Series | Grundlehren der mathematischen Wissenschaften ;, 258 |

Classifications | |
---|---|

LC Classifications | QA927 .S57 1983 |

The Physical Object | |

Pagination | xx, 581 p. : |

Number of Pages | 581 |

ID Numbers | |

Open Library | OL3499068M |

ISBN 10 | 0387907521 |

LC Control Number | 82019240 |

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Section I deals with reaction-diffusion equations, Shock waves and reaction-diffusion equations book in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory.

Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave : Springer-Verlag New York.

Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave by: Thus, the book has some rather sophisticated aspects to it, as well as certain textbook aspects.

The latter serve to explain, somewhat, the reason that a book with the title Shock Shock waves and reaction-diffusion equations book and Reaction-Diffusion Equations has the first nine chapters devoted to.

Shock Waves and Reaction—Diffusion Equations | Joel Smoller (auth.) | download | B–OK. Download books for free. Find books. Shock Waves and Reaction--Diffusion Equations book. Read reviews from world’s largest community for readers.

For this edition, a number of typographical Ratings: 0. Shock Waves and Reaction—Diffusion Equations Joel Smoller (auth.) The purpose of this book is to make easily available the basics of the theory of hyperbolic Shock waves and reaction-diffusion equations book laws and the theory of systems of reaction-diffusion equations, including Shock waves and reaction-diffusion equations book generalized Morse theory as developed by Charles Conley.

Get this from a library. Shock Waves and Reaction-Diffusion Equations. [Joel Smoller] -- The Shock waves and reaction-diffusion equations book of this book is to make easily available the basics of the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized.

Shock Waves and Reaction-Diffusion Equations by Joel Smoller,available at Book Depository with free delivery : Joel Smoller. Shock Waves and Reaction-diffusion Equations on *FREE* shipping on qualifying offers. Section I deals with reaction-diffusion equations, and in it are described both the work of C.

Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave : $ Shock Waves and Reaction―Diffusion Equations (Grundlehren der mathematischen Wissenschaften) by Joel Smoller.

English | Oct. 14, | ISBN:| Pages | PDF | 11 MB. The Structure of Magnetohydrodynamic Shock Waves §C. Periodic Travelling Waves §D. Stability of Steady-State Solutions §E.

Instability of Equilibrium Solutions of the Neumann Problem §F. Appendix: A Criterion for Nondegeneracy CHAPTER 25 Recent Results Section I. Reaction-Diffusion Equations §A. Catalogue of old master violins; added to which is a short historical sketch of the various violin schools, Shock waves and reaction-diffusion equations book a list of the principal makers, including an article upon violin construction and repairing, also a list of choice music for the violin.

Book Title Shock waves and reaction—diffusion equations: Author(s) Smoller, Joel: Publication New York: Springer, Series (Grundlehren der mathematischen Wissenschaften A Series of Comprehensive Studies in Mathematics; )Subject categoryCited by: Shock waves and reaction-diffusion equations / Joel Smoller.

Format Book Edition 2nd ed. Published New York: Springer-Verlag, c Description xxii, p.: ill. ; 25 cm. Series Grundlehren der mathematischen Wissenschaften Notes Includes bibliographical references (p.

[]) and index. adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A. Thus, the book has some rather sophisticated aspects to it, as well as certain textbook aspects. The latter serve to explain, somewhat, the reason that a book with the title Shock Waves and Reaction-Diffusion Equations has the first nine chapters devoted to linear partial differential ed on: J Section I deals with reaction-diffusion equations, and in it are described both the work of C.

Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave : Joel Smoller. The equations have been further specialized for a one-dimensional flow without heat addition.

A normal shock occurs in front of a supersonic object if the flow is turned by a large amount and the shock cannot remain attached to the body. The detached shock occurs for both wedges and cones.

A normal shock is also present in most supersonic. The book is divided into four main parts: linear theory, reaction-diffusion equations, shock-wave theory, and the Conley index. For the second edition numerous typographical errors and other mistakes have been corrected and a new chapter on recent results has been : Joel Smoller.

His book, “Shock Waves and Reaction — Diffusion Equations” became the standard in that area and has been a reference in programs worldwide. During his career, Smoller received significant recognition for his scholarly activities including a Guggenheim Fellowship inthe Margaret and Herman Sokol Award inand an Excellence in.

Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations.

Section II deals with some recent results in shock-wave Edition: Softcover Reprint of The Original 2nd Ed. (ebook) Shock Waves and Reaction-Diffusion Equations () from Dymocks online store. For this edition, a number of typographical errors. Section I deals with reaction-diffusion equations, and in it are described both the work of C.

Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave ed on: J Reaction–diffusion systems are mathematical models which correspond to several physical phenomena.

The most common is the change in space and time of the concentration of one or more chemical substances: local chemical reactions in which the substances are transformed into each other, and diffusion which causes the substances to spread out over a surface in space.

book, but an introductory section shows how both are related to the fundamentals of partial differential equations. Smoller's text is organized like a sandwich: first an overview of the theory of linear hyperbolic and parabolic equations; then the meat (two kinds): reaction-diffusion equations, and the theory of shock waves.

Smoller, "Shock waves and reaction-diffusion equations", Springer () MR Zbl How to Cite This Entry: Shock waves, mathematical theory of. Following that, we will study a number of examples of nonlinear evolution equations, in particular. Hyperbolic conservation laws.

Nonlinear wave equation; Homework. There will be short homework assignments every other week. Textbook.Partial Differential Equations, 2nd edition, AMS monographs. Book website. Shock wave theory was first studied for gas dynamics, for which shocks appear as compression waves.

A shock wave is characterized as a sharp transition, even discontinuity in the : Tai-Ping Liu. Joel Smoller (auth.): free download. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. Shock waves and compactons for fifth-order non-linear dispersion equations Article in European Journal of Applied Mathematics 21(01):1 - 50 February.

His highly influential book, “Shock Waves and Reaction Diffusion Equations”, became a standard in that area and has been a reference in programs worldwide. He was also known for his subtle sense of humor and his positive attitude. 3. The shock wave equation. In this section we discuss the analytic solution of the shock wave equation which describes the flow of most gases as given by, u t (x, t) + 1 c 0-γ + 1 2 u c 0 2 u x = 0, (x, t) ∈ R × [0, T], where c 0, γ are constants and γ is the specific by: NEW--Pattern formation for reaction-diffusion equations and the Turing instability--Includes interesting applications such as lift and drag past circular cylinder, reflection and refraction of electromagnetic (light) and acoustic (sound) waves, scattering, dispersive waves, wave guides, fiber optics, and pattern Edition: 4th Shock Waves And Reaction—Diffusion Equations è un libro di Smoller Joel edito da Springer Us a ottobre - EAN puoi acquistarlo sul sitola.

Oleinik, I have added a Shock Waves and ReactionDiffusion Equations Joel Smoller Patterns and waves: the theory and applications of reaction-diffusion equations download 12th Conference on Waves and Stability in Continuous Media: Villasimius (Cagliari), Italy, June ISBN Proceedings, "WASCOM " This book contains File Size: 77KB.

The last two steps were realized for gas dynamical shock waves in [15, 17] (see also [19]), where the local theorem of existence and uniqueness of classical solutions to the quasilinear gas dynamics equations ahead and behind the curvilinear shock wave is proved (see Section 3).These classical solutions belong to a Sobolev space W 2 3 (or W 2 s with s ≥ 3), and the.

An integro-differential reaction-diffusion equation is proposed as a model for populations where local aggregation is advantageous but intraspecific competition increases as global populations increase.

It is claimed that this is inherently more realistic than the usual kind of reaction-diffusion model for mobile populations. Three kinds of bifurcation from the uniform steady-state solution Cited by: A shock wave is a type of propagating disturbance. When a wave moves faster than the local speed of sound in a fluid, it is a shock wave.

Like an ordinary wave, a shock wave carries energy and can propagate through a medium; however, it is characterized by an abrupt, nearly discontinuous change in pressure, temperature and density of the medium. I'm studying hyperbolic conservation laws.

I went through LeVeque's book [1], chapters pdf and 8. It gives a very good description of shock and rarefaction waves construction for non-linear systems. However I'm not being able to relate it with Riemann invariants. I'm. The fourth edition contains many improvements in presentation and the following new material: diffusion of a chemical pollutant, Galerkin numerical approximation for the frequencies, similarity solution for the heat equation, two-dimensional Green's function for the wave equation, nonuniqueness of shock velocity and its resolution, spatial Price: $