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Formally gradient reaction-diffusion systems in \(\mathbb{R}^n\) have zero spatio-temporal topological entropy

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Publication:1422614
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zbMath1058.35089MaRDI QIDQ1422614

Serguei Zelik

Publication date: 23 February 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)


zbMATH Keywords

unbounded domainreaction-diffusion systemtopological entropyformally gradient systemreaction drift diffusion system


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45)


Related Items (3)

Spatial propagation for a two component reaction-diffusion system arising in population dynamics ⋮ The Aubry-Mather theorem for driven generalized elastic chains ⋮ Ergodic attractors and almost-everywhere asymptotics of scalar semilinear parabolic differential equations







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