Growth and instability theorems for wave equations with dissipation, with applications in contemporary continuum mechanics
From MaRDI portal
Publication:1244457
DOI10.1016/0022-247X(77)90118-4zbMath0372.35007MaRDI QIDQ1244457
Publication date: 1977
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Stability in context of PDEs (35B35) Stability of dynamical problems in solid mechanics (74H55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)
Related Items (5)
Decay, growth, continuous dependence and uniqueness results in generalized heat conduction theories ⋮ Growth and pulse propagation in a fluid mixtures ⋮ Instability of the solutions of evolutionary equations using conservation laws ⋮ Uniqueness and reciprocity in the boundary-initial value problem for a mixture of two elastic solids occupying an unbounded domain ⋮ Stability results for hyperbolic and parabolic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness and growth of weak solutions to certain linear differential equations in Hilbert space
- Evolutionary properties of elastodynamic solutions for non-negative and indefinite strain energies
- Uniqueness and continuous dependence for the equations of elastodynamics without strain energy function
- Some growth and convexity theorems for second-order equations
- On Movchan's theorems for stability of continuous systems
- Instability and the energy criterion for continuous systems
- Uniqueness in the linear theory of a mixture of two elastic solids
- Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics
- Some uniqueness and growth theorems in the Cauchy problem for \(Pu_{tt}+Mu_t+Nu=0\) in Hilbert space
- Stability in a linear theory of elastic rods
- The asymptotic behavior of solutions of second order systems of partial differential equations
- Energy-like Liapunov functionals for linear elastic systems on a Hilbert space
- Growth and Uniqueness Theorems for an Abstract Nonstandard Wave Equation
- Wave Equations with Weak Damping
- On the Uniquenes of Bounded Solutions to $u'(t) = A(t)u(t)$ and $u(t) = A(t)u(t)$ in Hilbert Space
This page was built for publication: Growth and instability theorems for wave equations with dissipation, with applications in contemporary continuum mechanics
