Three-dimensional dissipative structures in reaction-diffusion systems
نویسندگان
چکیده
منابع مشابه
Bifurcation Pattern in Reaction-Diffusion Dissipative Systems
für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
متن کاملDissipative reaction diffusion systems with quadratic growth
We introduce a class of reaction diffusion systems of which weak solution exists global-in-time with relatively compact orbit in L. Reaction term in this class is quasi-positive, dissipative, and up to with quadratic growth rate. If the space dimension is less than or equal to two, the solution is classical and uniformly bounded. Provided with the entropy structure, on the other hand, this weak...
متن کاملThree-dimensional Cellular Automata for Reaction-Diffusion Systems
Cellular automata for reaction-diiusion systems are eecient enough to make the simulation of large three-dimensional systems feasible. The principal construction mechanisms used here are not much diierent from those for two-dimensional cellular automata. Diiusion is realized through a local av-erageing, and all the nonlinear reaction terms are collected in a table-lookup. The special issue in t...
متن کاملAttractors for Partly Dissipative Reaction Diffusion SYstems in R^n
In this paper, we study the asymptotic behavior of solutions for the partly dissipative reaction diffusion equations in ޒ n. We prove the asymptotic compact-ness of the solutions and then establish the existence of the global attractor in 2 Ž n .
متن کاملHysteresis in one-dimensional reaction-diffusion systems.
We introduce a simple nonequilibrium model for a driven diffusive system with nonconservative reaction kinetics in one dimension. The steady state exhibits a phase with broken ergodicity and hysteresis which has no analog in systems investigated previously. We identify the main dynamical mode, viz., the random motion of a shock in an effective potential, which provides a unified framework for u...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 1992
ISSN: 0167-2789
DOI: 10.1016/0167-2789(92)90173-k