Nonlinear Reaction Diffusion Convection

Author: Roman Cherniha
Publisher: CRC Press
ISBN: 1351650874
Size: 30.97 MB
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This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and ...

Travelling Waves In Nonlinear Diffusion Convection Reaction

Author: Brian H. Gilding
Publisher: Birkhäuser
ISBN: 3034879644
Size: 77.81 MB
Format: PDF
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Brian worked under the guidance of Bert Peletier at the University of Sussex in Brighton, England, and, later at Delft University of Technology in the Netherlands on extending the earlier mathematics to include nonlinear convection; while ...

Nonlinear Reaction Diffusion Systems

Author: Roman Cherniha
Publisher: Springer
ISBN: 3319654675
Size: 19.68 MB
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Acad. Sci. Amsterdam 53, 247–260 (1950) Burgers, J.M.: The Nonlinear Diffusion
Equation. Reidel, Dordrecht (1974) Carini, M., Fusco, D., Manganaro, N.: Wave-
like solutions for a class of parabolic models. Nonlinear Dyn. 32, 211–222 (2003)
Cherniha, R.: New symmetries and exact solutions of nonlinear reaction-diffusion
-convection equations. In: Proceedings of the International Workshop “Similarity
Methods”, Universität Stuttgart, Stuttgart, pp. 323–336 (1998) Cherniha, R.: New ...

Chaotic Behaviour Of Deterministic Dissipative Systems

Author: Milos Marek
Publisher: Cambridge University Press
ISBN: 9780521438308
Size: 21.18 MB
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In nonisothermal conditions an exponential dependence of the reaction rate
constants on temperature has also to be considered. Even more complicated
reaction rate functions arise in heterogeneous reactions. Limitations to mass and
heat transport add other complications into the corresponding mass and enthalpy
balances, leading to various forms of nonlinear reaction-diffusion- convection
problems5300. Studies of various nonlinear phenomena such as multiple
stationary states, ...

Siam Journal On Numerical Analysis

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. This paper is devoted to a numerical analysis of periodic solutions of a finite
difference system which is a discrete version of a class of nonlinear reaction-
diffusion-convection equations under nonlinear boundary conditions. Three
monotone iterative schemes for the finite difference system are presented, and it
is shown by the ...

Perspectives In Mathematical Sciences

Author: Yisong Yang
Publisher: World Scientific
ISBN: 9814289310
Size: 66.91 MB
Format: PDF
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The LBM also shows potentials to simulate the nonlinear systems, including
reaction-diffusion equation,2–4 convection-diffusion equation,5,6 Burgers
equation7 and wave equation,3,8 etc. Recently, a generic LB model for advection
and anisotropic dispersion equation was proposed.9 However, almost all of the
existing LB models are used for real nonlinear systems. Beginning in the middle
of 1990s, based on quantum-computing ideas, several types of quantum lattice
gases have ...

Dynamics Of Continuous Discrete Impulsive Systems

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[2] J.R. Anderson, On the unique solvability of a nonlinear reaction- diffusion
model with convection. Journal of Mathematical Analysis and Applications, 228 (
2001), 564-588. [3] D.G. Aronson, The porous medium equation, in "Nonlinear
Diffusion Problems" (A. Fasano and M. Primicerio, Eds.) pp. 1-46, Lecture Notes
in Mathematics, Vol. 1224, Springer- Verlag, Berlin, 1986. [4] C. Bandle, T. Nanbu
, and I. Stakgold, Porous medium equation with absorption. Journal of
Mathematical ...

Geometric Sturmian Theory Of Nonlinear Parabolic Equations And Applications

Author: Victor A. Galaktionov
Publisher: CRC Press
ISBN: 1135436266
Size: 54.35 MB
Format: PDF, ePub, Docs
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Dyn. Syst., 7 (1994), 811–821. B.H. Gilding, H ̈older continuity of solutions of
parabolic equations, J. London Math. Soc. (2), 13 (1976), 103–106. B.H. Gilding,
The correspondence between travelling-wave solutions of a nonlinear reaction-
convection-diffusion equation and an integral equation, Differ. Integr. Equat., 9 (
1996), 917–947. B.H. Gilding and R. Kersner, The characterization of reaction-
convectiondiffusion processes by travelling waves, J. Differ. Equat., 124 (1996),
27– 79.