New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation

DOI10.1142/S0219891618500066zbMath1407.35029MaRDI QIDQ4609439

Shuichi Kawashima, Yoshihiro Ueda, Renjun Duan

Publication date: 29 March 2018

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

energy methodweak dissipative structuredecay structure

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) First-order hyperbolic systems (35L40)

Related Items (9)

Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion ⋮ Dissipative structure for symmetric hyperbolic systems with memory ⋮ A class of uniformly dissipative symmetric hyperbolic-hyperbolic systems ⋮ Decay property for a novel partially dissipative viscoelastic beam system on the real line ⋮ An S \& K mixed condition for symmetric hyperbolic systems with non-symmetric relaxations ⋮ Decay structures for the equations of porous elasticity in one-dimensional whole space ⋮ New stability criterion for the dissipative linear system and analysis of Bresse system ⋮ Characterization of the dissipative structure for the symmetric hyperbolic system with non-symmetric relaxation ⋮ Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory

Cites Work

• Decay property of regularity-loss type for the Euler-Maxwell system
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• Dissipative structure and global existence in critical space for Timoshenko system of memory type
• Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its application
• Decay structure of two hyperbolic relaxation models with regularity loss
• Decay property of the Timoshenko–Cattaneo system
• Dissipative Structure of the Regularity-Loss Type and Time Asymptotic Decay of Solutions for the Euler--Maxwell System
• GLOBAL SMOOTH FLOWS FOR THE COMPRESSIBLE EULER–MAXWELL SYSTEM: THE RELAXATION CASE
• DECAY PROPERTY OF REGULARITY-LOSS TYPE FOR DISSIPATIVE TIMOSHENKO SYSTEM
• DECAY PROPERTY OF REGULARITY-LOSS TYPE AND NONLINEAR EFFECTS FOR DISSIPATIVE TIMOSHENKO SYSTEM
• On the decay of solutions to the linearized equations of electro-magneto-fluid dynamics
• DECAY PROPERTY FOR THE TIMOSHENKO SYSTEM WITH FOURIER'S TYPE HEAT CONDUCTION

This page was built for publication: New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation