Lack of null controllability of viscoelastic flows

DOI10.1051/cocv/2018067zbMath1437.35585OpenAlexW2903206556MaRDI QIDQ5107965

Debayan Maity, Debanjana Mitra, Michael Renardy

Publication date: 29 April 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2018067

zbMATH Keywords

controllabilitylinear viscoelasticitymicrolocal analysis

Mathematics Subject Classification ID

Controllability (93B05) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10)

Related Items (4)

Some controllability results for linearized compressible Navier-Stokes system with Maxwell's law ⋮ Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body ⋮ Boundary Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension by Backstepping Approach ⋮ Lack of null controllability of one dimensional linear coupled transport-parabolic system with variable coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the null controllability of heat equation with memory
• Controllability of viscoelastic stresses for nonlinear Maxwell models
• Control of homogeneous shear flow of multimode Maxwell fluids
• On the control of viscoelastic Jeffreys fluids
• Exact boundary controllability of an integrodifferential equation
• Shear flow of viscoelastic fluids as a control problem
• A note on a class of observability problems for PDEs
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• Approximate controllability results for viscoelastic flows with infinitely many relaxation modes
• Approximate controllability results for linear viscoelastic flows
• Null controllability for wave equations with memory
• Are viscoelastic flows under control or out of control?
• Some Controllability Results for Linear Viscoelastic Fluids
• Exact controllability in viscoelasticity of fading memory type
• On control of shear flow of an upper convected Maxwell fluid
• Finite Element Methods for Navier-Stokes Equations
• Time optimal boundary controllability of a simple linear viscoelastic liquid
• Controllability results for linear viscoelastic fluids of the Maxwell and Jeffreys kinds
• Remarks on non controllability of the heat equation with memory
• Controllability of Evolution Equations with Memory

This page was built for publication: Lack of null controllability of viscoelastic flows