A nonlinear two-species oscillatory system: bifurcation and stability analysis.
Bandyopadhyay, Malay, Bhattacharya, Rakhi, Chakrabarti, C.G. (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Dynamics of a Reactive Thin Film”
A nonlinear two-species oscillatory system: bifurcation and stability analysis.
Wave bifurcation in models for heterogeneous catalysis.
Krömker, S. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Stability of reaction fronts in thin domains.
Agouzal, A., Boujena, S., Ciuperca, I., Volpert, V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Reaction-diffusion systems: Destabilizing effect of conditions given by inclusions
Jan Eisner (2000)
Mathematica Bohemica
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Sufficient conditions for destabilizing effects of certain unilateral boundary conditions and for the existence of bifurcation points for spatial patterns to reaction-diffusion systems of the activator-inhibitor type are proved. The conditions are related with the mollification method employed to overcome difficulties connected with empty interiors of appropriate convex cones.
Is the skin an excitable medium? Pattern formation in erythema gyratum repens.
Gilmore, Stephen, Landman, Kerry A. (2005)
Journal of Theoretical Medicine
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Existence of reaction-diffusion-convection waves in unbounded strips.
Belk, M., Kazmierczak, B., Volpert, V. (2005)
International Journal of Mathematics and Mathematical Sciences
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Self-organization in interface dynamics and urban development.
Meron, Ehud (1999)
Discrete Dynamics in Nature and Society
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Dynamics of Propagation Phenomena in Biological Pattern Formation
G. Liţcanu, J. J.L. Velázquez (2010)
Mathematical Modelling of Natural Phenomena
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A large variety of complex spatio-temporal patterns emerge from the processes occurring in biological systems, one of them being the result of propagating phenomena. This wave-like structures can be modelled via reaction-diffusion equations. If a solution of a reaction-diffusion equation represents a travelling wave, the shape of the solution will be the same at all time and the speed of propagation of this shape will be a constant. Travelling wave solutions of reaction-diffusion systems...
Diffusion phenomenon for second order linear evolution equations
Ryo Ikehata, Kenji Nishihara (2003)
Studia Mathematica
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We present an abstract theory of the diffusion phenomenon for second order linear evolution equations in a Hilbert space. To derive the diffusion phenomenon, a new device developed in Ikehata-Matsuyama [5] is applied. Several applications to damped linear wave equations in unbounded domains are also given.