Stability analysis of a linear system coupling wave and heat equations with different time scales
From MaRDI portal
Publication:6640903
DOI10.1016/j.jmaa.2024.128923MaRDI QIDQ6640903
Gonzalo Arias, Swann Marx, Eduardo Cerpa
Publication date: 20 November 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Control/observation systems governed by partial differential equations (93C20) Singular perturbations in context of PDEs (35B25) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Heat equation (35K05) Wave equation (35L05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction
- Tikhonov theorem for linear hyperbolic systems
- Functional analysis, Sobolev spaces and partial differential equations
- Formulations for numerically approximating hyperbolic systems governing sediment transport
- Stability analysis of coupled linear ODE-hyperbolic PDE systems with two time scales
- Decay rates for elastic-thermoelastic star-shaped networks
- Singularly perturbed problems in partial differential equations: A survey
- General theory of three-dimensional consolidation.
- Nonlinear systems
- Singular Perturbation Approximation of Linear Hyperbolic Systems of Balance Laws
- Boundary Stabilization of a 1-D Wave Equation with In-Domain Antidamping
- Singular Perturbation Approach for Linear Coupled ODE-PDE Systems
- A re-examination of the basic postulates of thermomechanics
- Boundary Control of PDEs
- Singular perturbation of linear regulators: Basic theorems
- Singular perturbations of a class of time-optimal controls
- Boundary stabilization of a microbeam model
- Singular Perturbation Analysis of a Coupled System Involving the Wave Equation
This page was built for publication: Stability analysis of a linear system coupling wave and heat equations with different time scales