Decay property of the Timoshenko–Cattaneo system

DOI10.1142/S0219530515500062zbMath1338.35052OpenAlexW2008868345MaRDI QIDQ2805229

Shuichi Kawashima, Naofumi Mori

Publication date: 10 May 2016

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530515500062

zbMATH Keywords

one space dimensiondecay propertyregularity-loss typepointwise estimate in the Fourier spaceCattaneo's type heat conductionTimoshenko system with thermal effects

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for linear higher-order PDEs (35G10)

Related Items (10)

Dissipative structure for symmetric hyperbolic systems with memory ⋮ Optimal decay rate of solutions to Timoshenko system with past history in unbounded domains ⋮ Mathematical entropy and Euler–Cattaneo–Maxwell system ⋮ On the decay of solutions of the linearized equations of conservation equations with viscosity and relaxation ⋮ An S \& K mixed condition for symmetric hyperbolic systems with non-symmetric relaxations ⋮ New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation ⋮ Decay property for solutions to plate type equations with variable coefficients ⋮ Global well-posedness and polynomial decay for a nonlinear Timoshenko-Cattaneo system under minimal Sobolev regularity ⋮ Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory ⋮ Dissipative structure and global existence in critical space for Timoshenko system of memory type

Cites Work

• Unnamed Item
• Decay property of regularity-loss type for the Euler-Maxwell system
• Uniform stabilization for the transmission problem of the Timoshenko system with memory
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its application
• A transmission problem for the Timoshenko system
• On the stability of Timoshenko systems with Gurtin-Pipkin thermal law
• Exponential stability for the Timoshenko system with two weak dampings
• DECAY ESTIMATES OF SOLUTIONS TO A SEMI-LINEAR DISSIPATIVE PLATE EQUATION
• GLOBAL SMOOTH FLOWS FOR THE COMPRESSIBLE EULER–MAXWELL SYSTEM: THE RELAXATION CASE
• Dissipative Property of the Vlasov–Maxwell–Boltzmann System with a Uniform Ionic Background
• DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH MEMORY-TYPE DISSIPATION
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND APPLICATION TO SOME NONLINEAR HYPERBOLIC–ELLIPTIC SYSTEM
• DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM
• On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics

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