On the theoretical and numerical control of a one-dimensional nonlinear parabolic partial differential equation

DOI10.1007/s10957-017-1190-4zbMath1387.35343OpenAlexW2768551414WikidataQ115382555 ScholiaQ115382555MaRDI QIDQ1695814

Enrique Fernández-Cara, Franciane B. Vieira, Miguel R. Nuñez-Chávez, Dany Nina-Huaman

Publication date: 8 February 2018

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-017-1190-4

zbMATH Keywords

nonlinear parabolic partial differential equationsinternal and boundary controlslocal null controllabilitynumerical solution of null controllability problems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear parabolic equations (35K55)

Related Items (8)

Controllability under positive constraints for quasilinear parabolic PDEs ⋮ Stackelberg-Nash controllability for a quasi-linear parabolic equation in dimension 1D, 2D, or 3D ⋮ Stackelberg-Nash controllability for \(N\)-dimensional nonlinear parabolic partial differential equations ⋮ Theoretical and numerical local null controllability of a quasi-linear parabolic equation in dimensions 2 and 3 ⋮ Local null controllability of a class of non-Newtonian incompressible viscous fluids ⋮ Local null controllability of a quasi-linear system and related numerical experiments ⋮ Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities ⋮ Local null controllability for the thermistor problem

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