4 edition of **Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications)** found in the catalog.

- 67 Want to read
- 26 Currently reading

Published
**August 26, 2004** by Birkhäuser Basel .

Written in English

- Differential equations,
- Waves & Wave Mechanics,
- Mathematics,
- Science,
- Science/Mathematics,
- Applied,
- Differential Equations - Partial Differential Equations,
- Genetics,
- Mathematics / Differential Equations,
- Partial Differential Equations,
- Population Dynamics,
- Travelling Waves

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

Format | Hardcover |

Number of Pages | 208 |

ID Numbers | |

Open Library | OL9090859M |

ISBN 10 | 3764370718 |

ISBN 10 | 9783764370718 |

Abstract. This paper deals with the analysis of existence of traveling wave solutions (TWS) for a diffusion-degenerate (at) and advection-degenerate (at) reaction-diffusion-advection (RDA) ion is a strictly increasing function and the reaction term generalizes the kinetic part of the Fisher-KPP : Faustino Sánchez-Garduño, Judith Pérez-Velázquez. In order for a travelling wave solution to satisfy the periodicity conditions in (2) we adopt the lattice size accordingly. This means that for a given wavenumber [absolute value of k] = [pi]q with rational q = r/s and two relatively prime integers r,s [member of] [+] \ {0}, r. Bei bekommst Du einen Travelling Waves in Nonlinear Diffusion-Convection Reaction Preisvergleich und siehst ob ein Shop gerade eine Travelling Waves in Nonlinear Diffusion-Convection Reaction Aktion hat! Suchen: Testberichte, mio. Produkte im Preisvergleich von Shops. DCR stands for diffusion, convection and reaction. DCR is defined as diffusion, convection and reaction rarely. DCR stands for diffusion, convection and reaction. Printer friendly. Menu Search " Abbreviation to define. Find. Examples: NFL, NASA, PSP, HIPAA. Travelling Waves in Nonlinear Diffusion Convection Reaction. Index.

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Travelling Waves in Nonlinear Diffusion-Convection Reaction. Authors: Gilding, Brian H., Kersner, Robert Brian had just completed some work on this topic for nonlinear diffusion-convection, while Robert had earlier done the same for nonlinear diffusion-absorption.

There was no question but that we bundle our efforts on the general situation. Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications) th Edition by Brian H.

Gilding (Author) › Visit Amazon's Brian H. Gilding Page. Find all the books, read about the author, and more. Cited by: This turned out to be the characterization of the phenomenon of finite speed of propagation for nonlin ear reaction-convection-diffusion equations.

Brian had just completed some work on this topic for nonlinear diffusion-convection, while Robert had earlier done the same for nonlinear diffusion-absorption. Travelling waves are observed in many natural processes, ranging from the spread of diseases to the combustion of fuels.

The book is concerned with characterizing such waves in phenomena described by a nonlinear diffusion-convection-reaction equation. The technique employed is Travelling Waves in Nonlinear Diffusion-Convection Reaction book.

Travelling Waves in Nonlinear Diffusion-Convection Reaction. This Travelling Waves in Nonlinear Diffusion-Convection Reaction book has grown out of research we started inalthough the foun dations were laid in the 's when both of us were working on our doctoral theses, trying to generalize the now classic paper of Oleinik, Kalashnikov and Chzhou on nonlinear degenerate diffusion.

Travelling waves are observed in many natural processes, ranging from the spread of diseases to the combustion of fuels. The book is concerned with characterizing such waves in phenomena described.

The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes. Whether or not a nonlinear second-order scalar reaction-convection-diffusion equation admits a travelling-wave solution can be determined Travelling Waves in Nonlinear Diffusion-Convection Reaction book the study of a singular nonlinear integral Travelling Waves in Nonlinear Diffusion-Convection Reaction book Gilding B.H., Kersner R.

() Reaction-diffusion. In: Gilding B.H., Kersner R. (eds) Travelling Waves in Nonlinear Diffusion-Convection Reaction. Progress in Nonlinear Differential Equations and Their Applications, vol Travelling Waves in Nonlinear Diffusion-Convection-Reaction Processes by Róbert Kersner Special solutions play an important role in the study of nonlinear partial differential equations (PDE's) arising in mathematical biology.

The diffusion-convection-reaction phenomenon is of great importance in engineering, physical and biological sciences.

In each of these fields the phenomenon is modelled by a Travelling Waves in Nonlinear Diffusion-Convection Reaction book differential equation (DE) or system of DEs. In many situations diffusion is Cited by: 2. The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes.

Topological Methods in Nonlinear Analysis Journal of the Juliusz Schauder Center Vol19–43 TRAVELLING WAVES FOR REACTION-DIFFUSION-CONVECTION SYSTEMS E. Crooks — J. Toland 1. Introduction There is a considerable literature (e.g.

[6], [14]) on the existence of travelling. Wenn Sie Travelling Waves in Nonlinear Diffusion-Convection Reaction im PDF-Format suchen, werden Sie bei uns fündig. This monograph has grown out of research we started inalthough the foun dations were laid in the 's when both of us were working on our doctoral theses, trying to generalize the now classic paper of Oleinik.

Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains the authors have studied the existence/non-existence of travelling fronts for reaction-diffusion equations with doubly nonlinear diffusion Let us finally stress that the existence of this TW solution is due to the presence of slow nonlinear : Alessandro Audrito, Juan Luis Vázquez.

Bistable travelling waves for nonlocal reaction diﬀusion equations Matthieu Alfaro 1, Jérôme Coville 2 and Gaël Raoul 3. Abstract We are concerned with travelling wave solutions arising in a reaction diﬀusion equation with bistable and nonlocal nonlinearity, for which the comparison principle does not Size: KB.

Traveling waves for reaction-di usion equations with bistable nonlinearity and nonlocal di usion Franz Achleitner Christian Kuhn Anacapri, September evolution equation + traveling wave solutions for u: R R nonlinear operator A Ais independent of t Agenerates C b semigroupFile Size: KB.

Travelling waves in nonlinear diffusion-convection reaction. By Brian Gilding and Robert Kersner. Cite. BibTex; Full citation; Topics: Mathematical Physics and Mathematics. Publisher: Springer. Year: Cited by: For a class of nonlinear diffusion–convection–reaction equations, corresponding to two families of heteroclinic orbits connecting two nodes of the traveling wave system, the existence of uncountably infinite many global monotonic and nonmonotonic wavefront solutions is : Jibin Li, Jibin Li, Jianping Shi.

The book is concerned with characterizing such waves in phenomena described by a nonlinear diffusion-convection-reaction equation.

The technique employed is new and can be briefly described as an integral or integrated approach to phase-plane analysis. Costa, F. and Araujo Pereira, M. () Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection. Journal of Applied Mathematics and Physics, 5, doi: /jampCited by: 3.

Buy Travelling Waves in Nonlinear Diffusion-Convection Reaction (Progress in Nonlinear Differential Equations and Their Applications) by Brian H. Gilding, Robert Kersner (ISBN: ) from Amazon's Book Store. Everyday low. The velocity dispersion and front steepness may differ from those of some previously studied exact smooth traveling wave solutions.

For an extension of the reaction-diffusion-convection equation, featuring a memory effect in the form of a maturity delay for growth and spread, also smooth exact wavefront solutions are by: 4. Travelling waves in nonlinear diffusion-convection-reaction. [Brian H Gilding; Robert Kersner] -- "The book brings together and improves a large number of results which have been obtained piecemeal in many different scientific disciplines.

It provides a reference work for applications of Your Web browser is not enabled for JavaScript. We consider quasi-stationary (travelling wave type) solutions to a general nonlinear reaction-convection-diffusion equation with arbitrary, autonomous coefficients.

The second order nonlinear equation describing one dimensional travelling waves can be reduced to a first kind first order Abel equation. By using two integrability conditions for the Abel equation (the. Nonlinear Reaction-Diffusion-Convection Equations Lie and Conditional Symmetry, Exact Solutions and Their Applications Waves in Nonlinear Pre-Stressed Materials Gaseous Ion Mobility, Diffusion, and Reaction.

Abstract: We consider quasi-stationary (travelling wave type) solutions to a general nonlinear reaction-convection-diffusion equation with arbitrary, autonomous coefficients. The second order nonlinear equation describing one dimensional travelling waves can be reduced to a first kind first order Abel type differential equation By using two integrability Author: T.

Harko, M. Mak. Figure 1: A schematic illustration of the qualitative form of (a) a sharp-front travelling wave, and (b) a smooth-front travelling wave.

Travelling Wave Fronts for Equations with Degenerate Dif-fusion Wave front solutions of reaction-diffusion equations with degenerate nonlinear diffusion were rst studied thirty years ago [1, 30].Cited by: We investigate the existence of traveling wave solutions for the infective-susceptible two-component epidemic model.

The model system is described by reaction-diffusion equations with the nonlinear reaction term of the classical Kermack-McKendric by: 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: The study of travelling waves or fronts has become an essential part of the mathematical analysis of nonlinear diffusion-convection-reaction processes.

Whether or not a nonlinear second-order scalar reaction-convection-diffusion equation admits a travelling-wave solution can be determined by the study of a singular nonlinear integral : B.H.

Gilding and R. Kersner. Traveling wave solutions are discussed for nonlinear diffusion equations where the nonlinearity occurs in the diffusion flux as well as in a source term.

For a variety of nonlinear diffusion fluxes it is shown that wave solutions exist if and only if the wave Cited by: Other frequently encountered structures comprise pulse trains (also known as periodic travelling waves), spiral waves and target patterns.

These three solution types are also generic features of two- (or more-) component reaction–diffusion equations in which the local dynamics have a stable limit cycle. The existence and comparison theorem of solutions is first established for the quasi-monotone delayed reaction-diffusion equations on R by appealing to the theory of abstract functional differential equations.

The global asymptotic stability, Liapunov stability, and uniqueness of traveling wave solutions are then proved by the elementary super- and subsolution Cited by: [4] Brian H. Gilding and Robert Kersner. Travelling waves in nonlinear diffusion-convection reaction.

Progress in Nonlinear Differential Equations and their Applications, Birkhduser Verlag, Basel, [5] Peter Grindrod. Models of individual aggregation or clustering in single and multi-species communities.

Math. Biol., 26(6) Full Description: "Nonlinear diffusion equations, an important class of parabolic equations, come from a variety of diffusion phenomena which appear widely in nature.

They are suggested as mathematical models of physical problems in many fields, such as filtration, phase transition, biochemistry and dynamics of biological groups. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Memorandum No. Travelling waves in nonlinear diffusion-convection-reaction.

At the present time, it is a well developed area of research which includes qualitative properties of travelling waves for the scalar reaction diffusion equation and for system of equations, complex nonlinear dynamics, numerous applications in physics, chemistry, biology, medicine.

This paper reviews biological applications of reaction. When investigating the traveling wave behavior, we found that the “advection speed” influences the type and the speed of the possible traveling waves. The aim of this paper was the investigation of the existence of TWS for the one-dimensional nonlinear degenerate RDA equation.

The degeneracy of the equation causes its solution to possess Author: Faustino Sánchez-Garduño, Judith Pérez-Velázquez. The results for the integral equation are then used to study the existence and properties of travelling-wave solutions for doubly nonlinear diffusion-reaction equations in terms of the constitutive functions of the : Alejandro Garriz.

Project Euclid - mathematics and statistics online. Differential Integral Equations; Volume 9, Number 5 (), The correspondence between travelling-wave solutions of a nonlinear reaction-convection-diffusion equation and an integral equation. B. Gilding and R.

Kersner, Travelling Waves in Nonlinear Diffusion-Convection Reaction, Birkhauser Verlag, Basel, doi: / Google ScholarCited by: 7.

By using Schauder's fixed point theorem, a new cross-iteration scheme is download pdf to establish the existence of travelling wave solutions.

More precisely, by using such a new cross-iteration, we reduce the existence of travelling wave solutions to the existence of an admissible pair of upper and lower solutions which are easy to construct in by: Traveling Wave Analysis of Partial Differential Equations Numerical ebook Analytical Methods with MATLABr and Maple™ Graham W.

Grifﬁths CityUniversity,London,UK William E. Schiesser LehighUniversity,Bethlehem,PA,USA AMSTERDAM BOSTON HEIDELBERG LONDON NEW YORK OXFORD PARIS SAN DIEGO SAN FRANCISCO SINGAPORE SYDNEY TOKYOFile Size: KB.