Boundary controllability for the 1D Moore-Gibson-Thompson equation
From MaRDI portal
Publication:6172041
DOI10.1007/s11012-022-01551-3zbMath1526.76042OpenAlexW4285587539MaRDI QIDQ6172041
Carlos Lizama, Sebastián Zamorano
Publication date: 18 July 2023
Published in: Meccanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11012-022-01551-3
exact controllabilitywell-posednessapproximate controllabilitynonlinear acousticsspectral controllability
Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05) Flow control and optimization for compressible fluids and gas dynamics (76N25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global attractors for a third order in time nonlinear dynamics
- The Moore-Gibson-Thompson equation with memory in the critical case
- Null controllability of a system of viscoelasticity with a moving control
- Decay and growth estimates for solutions of second-order and third-order differential-operator equations
- Moore-Gibson-Thompson equation with memory. II: General decay of energy.
- Regularity of solutions for a third order differential equation in Hilbert spaces
- Existence of asymptotically almost periodic solutions for damped wave equations
- On an acoustics-thermal-fluid coupling model for the prediction of temperature elevation in liver tumor
- On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity
- Functional analysis, Sobolev spaces and partial differential equations
- Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics
- Unique continuation property and control for the Benjamin-Bona-Mahony equation on a periodic domain
- Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics
- An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound
- Exterior controllability properties for a fractional Moore-Gibson-Thompson equation
- On the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memory
- On the Jordan-Moore-Gibson-Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity
- Decay rates for the Moore-Gibson-Thompson equation with memory
- Optimal scalar products in the Moore-Gibson-Thompson equation
- Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics
- Periodic solutions of third-order degenerate differential equations in vector-valued functional spaces
- Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation
- On the Controllability of the Linearized Benjamin--Bona--Mahony Equation
- An inverse problem for a third order PDE arising in high-intensity ultrasound: Global uniqueness and stability by one boundary measurement
- Boundary control of a vibrating plate with internal damping
- Evolutionary Integral Equations and Applications
- On the Controllability of the Improved Boussinesq Equation
- Inverse Problem for a Linearized Jordan–Moore–Gibson–Thompson Equation
- An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability
- Null Controllability of the Structurally Damped Wave Equation with Moving Control
- The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations
- Moore–Gibson–Thompson thermoelasticity
- Feedback control of the acoustic pressure in ultrasonic wave propagation
- Existence of asymptotically almost automorphic solutions for a third order differential equation
- On the analyticity of the abstract MGT-Fourier system
