Remark on the global null controllability for a viscous Burgers-particle system with particle supported control

DOI10.1016/j.aml.2020.106483zbMath1441.35033arXiv2004.05626OpenAlexW3028268505MaRDI QIDQ2186773

Arnab Roy, Takéo Takahashi, Mythily Ramaswamy

Publication date: 9 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05626

zbMATH Keywords

fluid-structure interactionviscous Burgers equationglobal controllability

Mathematics Subject Classification ID

Controllability (93B05) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

Controllability of a Stokes system with a diffusive boundary condition, Control of the Stefan problem in a periodic box, Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body, Controllability of One-Dimensional Viscous Free Boundary Flows

Cites Work

• Unnamed Item
• Unnamed Item
• Stabilization of a fluid-rigid body system
• Exact controllability of a fluid--rigid body system
• Local null controllability of a fluid-solid interaction problem in dimension 3
• Local null controllability of a rigid body moving into a Boussinesq flow
• Particle supported control of a fluid-particle system
• Remarks on global controllability for the Burgers equation with two control forces
• Feedback Stabilization of a Fluid-Structure Model
• Exact controllability in fluid – solid structure: The Helmholtz model
• Global Controllability of Nonviscous and Viscous Burgers-Type Equations
• Large Time Behavior for a Simplified 1D Model of Fluid–Solid Interaction†
• Single input controllability of a simplified fluid-structure interaction model
• An obstruction to small time local null controllability for a viscous Burgers' equation
• Local null controllability of a two-dimensional fluid-structure interaction problem
• SOME CONTROL RESULTS FOR SIMPLIFIED ONE-DIMENSIONAL MODELS OF FLUID-SOLID INTERACTION
• LACK OF COLLISION IN A SIMPLIFIED 1D MODEL FOR FLUID–SOLID INTERACTION