LOCAL ENERGY DECAY FOR SOLUTIONS OF MULTI-DIMENSIONAL ISOTROPIC SYMMETRIC HYPERBOLIC SYSTEMS

DOI10.1142/S0219891606000975zbMath1108.35016MaRDI QIDQ3426967

Thomas C. Sideris, Becca Thomases

Publication date: 14 March 2007

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

zbMATH Keywords

elasticitynonlinear perturbationsMaxwell's equationslinearized elasticityconstraintsMaxwellsymmetric hyperbolic systemslocal energy decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (17)

Global vanishing viscosity limit for the two dimensional incompressible viscoelasticity in Lagrangian coordinates ⋮ Energy splitting for solutions of multi-dimensional isotropic symmetric hyperbolic systems ⋮ Incompressible limit of three dimensional compressible viscoelastic systems with vanishing shear viscosity ⋮ Almost global existence for 2-D incompressible isotropic elastodynamics ⋮ Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions ⋮ Uniform Bound of the Highest-Order Energy of the 2D Incompressible Elastodynamics ⋮ Vanishing shear viscosity limit and incompressible limit of two dimensional compressible dissipative elastodynamics ⋮ Long-time existence for systems of quasilinear wave equations ⋮ Rotation-strain decomposition for the incompressible viscoelasticity in two dimensions ⋮ On 2D viscoelasticity with small strain ⋮ Global existence for the compressible viscoelastic system with zero shear viscosity in three dimensions ⋮ Global existence of compressible dissipative elastodynamics systems with zero shear viscosity in two dimensions ⋮ Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions ⋮ Unique determination of sound speeds for coupled systems of semi-linear wave equations ⋮ Uniform bound of the highest energy for the three dimensional incompressible elastodynamics ⋮ Global Well-Posedness of Incompressible Elastodynamics in Three-Dimensional Thin Domain ⋮ Global and almost global existence of small solutions to a dissipative wave equation in 3D with nearly null nonlinear terms

Cites Work

• Unnamed Item
• Decay of classical Yang-Mills fields
• Nonresonance and global existence of prestressed nonlinear elastic waves
• The null condition and global existence of nonlinear elastic waves
• Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
• Asymptotic properties of linear field equations in minkowski space
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit

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