Stability and related results in linear elastodynamics on unbounded regions
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Publication:1814298
DOI10.1007/BF00375226zbMath0747.73026MaRDI QIDQ1814298
Publication date: 25 June 1992
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
uniquenessasymptotic behaviourhyperbolicityacoustic tensorunbounded regionpropagation speedsdisplacement boundary conditionlinearized anisotropic nonhomogeneous elasticitylinearized elastostatics
Stability of dynamical problems in solid mechanics (74H55) Dynamical problems in solid mechanics (74H99) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Elastic materials (74B99)
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Cites Work
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- Theorems in linear elastostatics for exterior domains
- Energy inequalities and the domain of influence theorem in classical elastodynamics
- On Graffi's reciprocal theorem in unbounded domains
- On the work and energy theorem for unbounded elastic bodies
- On uniqueness for the displacement problem in the dynamical theory of elasticity
- Weighted energy methods in fluid dynamics and elasticity
- On the stability of solutions to the system of classical elastodynamics
- On the behavior at infinity of solutions of elliptic systems with a finite energy integral
- On the well-posedness of the equilibrium problem for linear elasticity in unbounded regions
- Uniqueness in linear elastostatics for problems involving unbounded bodies
- On the asymptotic behaviour at infinity of solutions in linear elasticity
- Sharp uniqueness classes in linear elastodynamics
- Continuous dependence theorems in linear elasticity on exterior domains
- Uniqueness theorems for displacement fields with locally finite energy in linear elastostatics
- On the steady-state solutions of the Navier-Stokes equations. III
- Initial-boundary value problems for linear hyperbolic partial differential equations of the second order
- Some theorems in classical elastodynamics
- Essential self-adjointness of powers of generators of hyperbolic equations
- The decay of solutions of the exterior initial-boundary value problem for the wave equation
- A uniqueness theorem for a linear hyperbolic partial differential system of the second order
- An exterior problem in elastodynamics
- A UNIQUENESS THEOREM IN ELASTODYNAMICS
- SOME RESULTS ON INCOMPRESSIBLE LINEAR HYPERELASTIC MEDIA
- Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems
- Continuous data dependence in linear elastodynamics on unbounded domains without definiteness conditions on the elasticities
- Some results in the linear dynamical theory of anisotropic elastic solids
- The domain of dependence inequality for symmetric hyperbolic systems
- Saint-Venant's principle on unbounded regions