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Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
 

On global existence for the Gierer-Meinhardt system
Pages: 583 - 591, Issue 1, January 2015

doi:10.3934/dcds.2015.35.583      Abstract        References        Full text (325.6K)           Related Articles

Henghui Zou - Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, United States (email)

1 A. Gierer and H. Meinhardt, A theory of biological pattern formation, Kybernetic (Berlin), 12 (1972), 1087-1097.
2 H. Jiang, Global existence of solutions of an activator-inhibitor system, Discrete Contin. Dyn. Syst., 14 (2006), 737-751.       
3 K. Masuda and K. Takashima, Reaction-diffusion systems in the Gierer-Meinhardt theory of biological pattern formation, Japan J. Appl. Math., 4 (1987), 47-58.       
4 W.-M. Ni, K. Suzuki and I. Takagi, The dynamics of a kinetic activator-inhibitor system, J. Diff. Equations, 229 (2006), 426-465.       
5 F. Rothe, Global Solutions of Reaction-Diffusion Systems, Lecture Notes in Math., 1072, Springer, New York, 1984.       
6 H. Zou, Finte time blow-up and blow-up rates for the Gierer-Meinhardt system, submitted.

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