Reduction, exact solutions, and control design for a certain nonlinear system of parabolic type

DOI10.1134/S1064562415010081zbMath1354.93028OpenAlexW2018192282MaRDI QIDQ2353083

Edward Ivanovich Semenov, Alexander Arkad'evich Kosov

Publication date: 7 July 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562415010081

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) System structure simplification (93B11) Parabolic equations and parabolic systems (35K99) PDEs in connection with control and optimization (35Q93)

Cites Work

• EXACT AND APPROXIMATE TRAVELING WAVES OF REACTION-DIFFUSION SYSTEMS VIA A VARIATIONAL APPROACH
• Classification of Global and Blow-up Sign-changing Solutions of a Semilinear Heat Equation in the Subcritical Fujita Range : Second-order Diffusion
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