Dimension estimate of the exponential attractor for the chemotaxis‐growth system
Copyright policy )Dimension estimate of the exponential attractor for the chemotaxis‐growth system
AbstractWe consider a chemotaxis‐growth model which takes into account diffusion, chemotaxis, production of chemical substance, and growth. We present estimates from above and below of the fractal dimension dim𝔐 of the exponential attractor 𝔐 in terms of the coefficients of the system. Comparisons are made between the sizes of the global and exponential attractors. Numerical simulations are presented which confirm the analytical results obtained. Copyright © 2006 John Wiley & Sons, Ltd.
- Technical University of Munich Germany
Lipschitz continuity of semigroups, fractal dimension, global and exponential attractors, Cell movement (chemotaxis, etc.), Asymptotic behavior of solutions to PDEs, diffusion, Nonlinear parabolic equations, Attractors, A priori estimates in context of PDEs
Lipschitz continuity of semigroups, fractal dimension, global and exponential attractors, Cell movement (chemotaxis, etc.), Asymptotic behavior of solutions to PDEs, diffusion, Nonlinear parabolic equations, Attractors, A priori estimates in context of PDEs
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