3 edition of **Singular perturbations of hyperbolic type** found in the catalog.

Singular perturbations of hyperbolic type

R. Geel

- 189 Want to read
- 21 Currently reading

Published
**1978**
by Mathematisch Centrum in Amsterdam
.

Written in English

- Differential equations, Hyperobolic.,
- Initial value problems.,
- Boundary value problems.,
- Perturbation (Mathematics)

**Edition Notes**

Bibliography: p. 180-184.

Statement | R. Geel. |

Series | Mathematical Centre tracts ; 98, Mathematical Centre tracts ;, 98. |

Classifications | |
---|---|

LC Classifications | QA374 .G34 |

The Physical Object | |

Pagination | xxii, 184 p. : |

Number of Pages | 184 |

ID Numbers | |

Open Library | OL4482848M |

ISBN 10 | 9061961661 |

LC Control Number | 79311423 |

Z. Yang and W.-A. Yong, Validity of the Chapman–Enskog expansion for a class of hyperbolic relaxation systems, J. Differential Equations (8) () – Crossref, Google Scholar; W.-A. Yong, Singular perturbations of first-order hyperbolic systems with stiff source terms, J. Differential Equations (1) () 89– Choi, M.-J. Kang and A. Vasseur, Global well-posedness of large perturbations of traveling waves in a hyperbolic–parabolic system arising from a chemotaxis model, .

the hyperbolic singular values of the perturbed pair (G,J) will be denoted by Sections and , which deal with the perturbation bounds for hyperbolic singular values, we assume that σi and σi are in the increasing order. In Sections and , which deal with the perturbation bounds for hyperbolic singular vectors, σi and σi. The study of escape rates for a ball in a dynamical systems has been much studied. Understanding the asymptotic behavior of the escape rate as the radius of the ball tends to zero is an especially subtle problem. In the case of hyperbolic conformal systems this has been addressed by various authors. In this paper we consider a far more general realm of conformal maps where the analysis is.

The hyperbolic quadratic eigenvalue problem (HQEP) was shown to admit Courant–Fischer type min–max principles in by Duffin and Cauchy type interlacing inequalities in by Veselić. It can be regarded as the closest analog (among all kinds of quadratic eigenvalue problem) to the standard Hermitian eigenvalue problem (among all kinds. A singular perturbation problem is one for which the perturbed problem is qualitatively di erent from the unperturbed problem. One typically obtains an asymptotic, but possibly divergent, expansion of the solution, which depends singularly on the parameter ". Although singular perturbation problems may appear atypical, they are the most.

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SINGULAR PERTURBATIONS OF HYPERBOLIC TYPE 71 C71 Genec, J., Madaune, M., Percurbacions singulisres pour une classe de problgmes hyperboliques non lingaires; Proceedings of che conference in singular percurbacions and boundary layer cheory, Lyon,Lecture Noces in Machs.

Springer, Berlin,pp. van Harcen, A Cited by: Singular perturbations of hyperbolic type. [R Geel] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Document Type: Book, Internet Resource: All Authors / Contributors: R Geel.

Find more information about: ISBN: OCLC Number. Cite this paper as: Perjan A. () Singular Perturbations of Hyperbolic-Parabolic Type. In: Barbu V., Lasiecka I., Tiba D., Varsan C. (eds) Analysis and Cited by: 1.

A uniform approximation of a linear hyperbolic-hyperbolic singular perturbation problem for a large timescale under a “timelike” hypothesis is constructed. It is shown that the effect of a hyperbolic perturbation is qualitatively the same as the effect of a viscous perturbation for a large by: 9.

The question of singular perturbations for the type “hyperbolic-hyperbolic” (according to the terminology of Lions [12]) seem to have been rarely studied. In the linear case Cauchy’s problem has been studied by Blonde1 [2, 7.

Singular perturbations of linear ordinary differential equations. Singular perturbations of second order elliptic type.

Linear theory. Singular perurbations of second order hyperbolic type. Singular perturbations in nonlinear initial value problems of second order.

Singular perturbations in nonlinear boundary value problems of. Eckhaus and M. Garbey, Asymptotic Analysis on Large Timescales for Singular Perturbations of Hyperbolic Type, SIAM J.

Math. Anal., 21(), pp. – MathSciNet zbMATH Google Scholar 6. The Cauchy problem for a semilinear hyperbolic equation with a small parameter is considered.

The reduced problem is of parabolic type and, although there is no reduction of order, there is an initial layer. An asymptotic solution with boundary layer corrections is constructed and, for a restricted class of nonlinearities, is shown to be uniformly asymptotically valid for sets bounded in the.

This work develops a singular perturbation theory for initial-value problems of nonlinear first-order hyperbolic systems with stiff source terms in several space variables. It is observed that under reasonable assumptions, many equations of classical physics of that type.

This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic.

Approach your problems from It isn't that they can't see the the right end and begin with the solution. It is that they can't see answers. Then, one day, perhaps the problem.

you will find the final question. 'The Hermit Clad in Crane Feathers' G. Chesterton, The scandal of in R. Van Gulik's The. Request PDF | Singular Perturbations of Hyperbolic-Parabolic Type | We study the bihavior of solutions of the problem εu″(t)+u′(t)+Au(t)+Bu(t) = f(t), u(0) = u o, u′(0) = u 1 in the.

ISBN Singular Perturbations and Boundary Layer Theory: Ecully, France by C. Brauner and Claude Michel Brauner. Lecture Notes in Mathematics. x 1. x 2. Users who liked this book, also liked. Singular perturbations of hyperbolic type. Perturbations singulières dans les problèmes aux limites et en contrôle optimal.

spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not yet been sufficiently developed, such as the spectral theory of transfer operators or the singular perturbation theory of hyperbolic Laplacians, will profit from the numerical experiments discussed in this book.

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Linear singular perturbations of hyperbolic-parabolic type.

Purchase Singular Perturbations and Asymptotics - 1st Edition. Print Book & E-Book. ISBNThe focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero.

In the case of hyperbolic conformal systems this has been addressed by various authors. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda). This work develops a singular perturbation theory for initial-value problems of nonlinear first-order hyperbolic systems with stiff source terms in several space variables.

It is observed that under reasonable assumptions, many equations of classical physics of that type admit a structural stability condition.

The authors also compare hyperbolic and parabolic problems, both in terms of singular perturbations, on compact time intervals, and asymptotically, in terms of the diffusion phenomenon, with new results on decay estimates for strong solutions of homogeneous quasi-linear equations of each type.

The asymptotic behavior of the hyperbolic evolution problems of order two, on a cylindrical domain $\Omega$ = $\Delta \times \omega$, with coefficients dependent on a parameter is examined. The convergence of the solution of such problems towards a solution of a problem of the same type defined in $\omega$ is proved, and the rate of convergence estimates is given.

Asymptotic Methods For Investigating Quasiwave Equations Of Hyperbolic Type by Yuri A. Mitropolsky. Download in PDF, EPUB, and Mobi Format for read it on your Kindle device, PC, phones or tablets. Asymptotic Methods For Investigating Quasiwave Equations Of Hyperbolic Type books.Singular perturbations for a class of degenerate parabolic-hyperbolic inequalities Article (PDF Available) January with 14 Reads How we measure 'reads'.Some singular perturbations results for semilinear hyperbolic problems.

Discrete & Continuous Dynamical Systems - S,5 (3): doi: /dcdss [20] Tomas Godoy, Alfredo Guerin. Existence of nonnegative solutions to singular elliptic problems, a variational approach.