Exact controllability to the trajectories of the one-phase Stefan problem
DOI10.1016/j.jde.2023.08.016zbMath1526.35328arXiv2204.04750OpenAlexW4297337402MaRDI QIDQ6083307
Jon Asier Bárcena-Petisco, Diego A. Souza, Enrique Fernández-Cara
Publication date: 31 October 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.04750
inverse function theoremfree-boundary problemsone-phase Stefan problemglobal Carleman inequalitiesexact controllability to the trajectories
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)
Cites Work
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- Exact controllability of a fluid--rigid body system
- On the controllability of a free-boundary problem for the 1D heat equation
- Analysis of a mathematical model for the growth of tumors
- Control of water waves
- The free boundary problem describing information diffusion in online social networks
- Controllability under positivity constraints of semilinear heat equations
- External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
- Controllability of the one-dimensional fractional heat equation under positivity constraints
- Local null controllability of a free-boundary problem for the quasi-linear 1D parabolic equation
- Controllability and positivity constraints in population dynamics with age structuring and diffusion
- Single-boundary control of the two-phase Stefan system
- Particle supported control of a fluid-particle system
- Local null controllability of a free-boundary problem for the semilinear 1D heat equation
- Exact controllability theorems for linear parabolic equations in one space dimension
- Theory of Solidification
- State-constrained controllability of linear reaction-diffusion systems
- Contróle Exact De Léquation De La Chaleur
- Motion Planning for a nonlinear Stefan Problem
- Control and State Estimation of the One-Phase Stefan Problem via Backstepping Design
- Approximate controllability of the semilinear heat equation
- Single input controllability of a simplified fluid-structure interaction model
- Minimal controllability time for the heat equation under unilateral state or control constraints
- Controllability of One-Dimensional Viscous Free Boundary Flows
- Remarks on the Control of Two-Phase Stefan Free-Boundary Problems
- SOME CONTROL RESULTS FOR SIMPLIFIED ONE-DIMENSIONAL MODELS OF FLUID-SOLID INTERACTION
- A strong maximum principle for parabolic equations
- The cost of approximate controllability for heat equations: The linear case
- Control of the Stefan problem in a periodic box
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