Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control
From MaRDI portal
Publication:2835347
DOI10.1051/cocv/2016031zbMath1355.35021OpenAlexW2416765819MaRDI QIDQ2835347
Enrique Fernández-Cara, Juan Limaco, Silvano Bezerra De Menezes
Publication date: 2 December 2016
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://idus.us.es/xmlui/handle/11441/47793
Carleman estimatesnull controllabilityinverse function theoremparabolic-elliptic linear and semilinear systems
Related Items (7)
Local null controllability of the penalized Boussinesq system with a reduced number of controls ⋮ Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system ⋮ Local null controllability for the thermistor problem ⋮ Local null-controllability of a system coupling Kuramoto-Sivashinsky-KdV and elliptic equations ⋮ Local controllability of reaction-diffusion systems around nonnegative stationary states ⋮ Unnamed Item ⋮ Ionic parameters identification of an inverse problem of strongly coupled PDE’s system in cardiac electrophysiology using Carleman estimates
Cites Work
- Integrable deformation of critical surfaces in spaceforms
- A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems
- Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology
- Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components
- The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials
- Recent results on the controllability of linear coupled parabolic problems: a survey
- Theoretical and numerical local null controllability of a Ladyzhenskaya-Smagorinsky model of turbulence
- Null and approximate controllability for weakly blowing up semilinear heat equations
- Local exact controllability of the Navier-Stokes system
- Minimal time of controllability of two parabolic equations with disjoint control and coupling domains
- Controllability of fast diffusion coupled parabolic systems
- Uniform Null Controllability for a Degenerating Reaction-Diffusion System Approximating a Simplified Cardiac Model
- On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
- Single input controllability of a simplified fluid-structure interaction model
- Sharp Estimates of the One-Dimensional Boundary Control Cost for Parabolic Systems and Application to the $N$-Dimensional Boundary Null Controllability in Cylindrical Domains
- Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
This page was built for publication: Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control
