Reaction–diffusion system
The Application of Homotopy Analysis Method to Non-linear Reaction Diffusion System
... In this paper, the homotopy analysis method is applied to non-linear reaction diffusion system of Lotka-Volterra type subject of extensive numerical and analytical studies. The comparisons of the ...
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Travelling wave solutions of a Reaction-Diffusion System: Slow Reaction and Slow Diffusion
... Abstract: - In this paper we study the travelling wave solutions of a reaction-diffusion system with a slow reaction and a slow diffusion for one component. We use a semi-implicit ...
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Bounds on the hausdorff dimension of a renormalisation map arising from an excitable reaction-diffusion system on a fractal lattice
... A renormalisation approach to investigate travelling wave solutions of an excitable reaction- diffusion system on a deterministic fractal structure has recently been derived. The dynamics of a ...
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Numerical Approximation to Nonlinear One Dimensional Coupled Reaction Diffusion System
... dimension reaction diffusion system, which includes the existence and uniqueness of the time dependent solution with upper and lower bounds of the ...
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Finite Difference Implicit Schemes to Coupled Two Dimension Reaction Diffusion System
... a reaction diffusion system, which agree to several physical phenomena, the most common is the change in space and time of the concentration of one or more chemical ...and diffusion which ...
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Blow up solutions to the Cauchy problem of a fractional reaction diffusion system
... Kaplan studied for the first time in a seminal paper [] the blow-up phenomenon of reaction-diffusion equations in bounded domains. He showed that for a convex source term f (u) satisfying (.) diffusion cannot ...
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A necessary and sufficient condition for global existence for a quasilinear reaction diffusion system
... Reaction-di ff usion systems have been studied for decades (see, e.g., [4, 5, 10, 11], and their references). The particular problem of determining conditions under which such systems have global solutions has been ...
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Qualitative Properties of Solutions of a Doubly Nonlinear Reaction Diffusion System with a Source
... In this paper, we study properties of solutions to doubly nonlinear reaction-diffusion systems with variable density and source. We demonstrate the possibilities of the self-similar approach to stud- ying ...
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Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms
... In order to motivate the main results for system 1.1, we recall some classical results for the related system. de Pablo et al., firstly distinguished non-simultaneous quenching from simultaneous one in 1 . ...
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Necessary conditions for local and global existence to a reaction diffusion system with fractional derivatives
... We give some necessary conditions for local and global existence of a solution to reaction- diffusion system of type (FDS) with temporal and spacial fractional derivatives. As in the case of single equation ...
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On non-local reaction-diffusion system in a bounded domain
... Non-local reaction–diffusion systems have applications concerned with thermal prop- erties of visco-elastics and materials that have memory. Amann [21] presents a survey of the most common approaches to ...
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Interior Controllability of a Reaction-Diffusion System with Cross-Diffusion Matrix
... Finally, with this technique those young mathematicians who live in remote and inhospitable places, far from major research centers in the world, can also understand and.. enjoy the inte[r] ...
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Existence of positive stationary solutions for a reaction-diffusion system
... More recently, Chen and Ma obtained some existence results for () using the bi- furcation techniques in [, ]. In addition, in [–], the authors used the variational approach to study the existence, nonexistence, ...
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Universal bounds and blow-up estimates for a reaction-diffusion system
... In this paper, we study (initial and final) blow-up rates, as well as universal bounds for global solutions, for a class of semilinear reaction-diffusion systems, in connection with Liouville-type theorems. Our ...
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Approximate Controllability of a Reaction-Diffusion System with a Cross-Diffusion Matrix and Fractional Derivatives on Bounded Domains
... nonempty subset ω of Ω the system is approximately controllable on 0, t ∗ . This paper has been motivated by the work done in 1 and the work done by H. Larez and H. Leiva in 2 . In the work 1 , the auther studies ...
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Wave Propagation in Excitable Media Through Randomly Distributed Heterogeneities: Simulations and Comparison to the Effective Medium Theory*
... distributed diffusion coefficient is ...the diffusion coefficient are ...the diffusion length of the reaction-diffusion system the numerical results show deviations with respect ...
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Stability analysis and simulations of coupled bulk surface reaction diffusion systems
... bulk-surface reaction–diffusion equations on stationary ...bulk reaction–diffusion equations are coupled to the surface reaction– diffusion equations through linear Robin-type ...
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A selection criterion for patterns in reaction–diffusion systems
... dynamical system, interpreting diffusion terms in the standard probabilistic ...the reaction – diffusion system, in the same way the energy is a Lyapunov function for the one ...
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Reduction and normal forms for a delayed reaction–diffusion differential system with B–T singularity
... differential system on its center ...the system, and succeeded in obtaining a simpler and more specific parameterized delayed ordinary differential sys- tem on its center ...
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Memory Effect in Chemotaxis Equation
... linear diffusion equation does not exhibit any traveling wave ...where diffusion plays an important role and the underlying dynamical system exhi- bits traveling wave ...simple diffusion when ...
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