Asymptotic Analysis of a Hyperbolic Mixed Problem in One‐Dimensional Viscoelasticity
From MaRDI portal
Publication:4286875
DOI10.1002/sapm199390291zbMath0790.73022OpenAlexW2189957141MaRDI QIDQ4286875
T. Sabri Öncü, T. Bryant Moodie
Publication date: 28 June 1994
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/sapm199390291
nonlinear geometric opticshigh-frequency waveshyperbolic Volterra integro-differential equationssingle-integral constitutive functional
Bulk waves in solid mechanics (74J10) Volterra integral equations (45D05) Dynamical problems in solid mechanics (74Hxx)
Cites Work
- Fading memory
- Development of singularities in the motion of materials with fading memory
- The Riemann problem for general systems of conservation laws
- On thermodynamics, strain impulses, and viscoelasticity
- Waves in materials with memory. I: The velocity of one-dimensional shock and acceleration waves
- Waves in materials with memory. II: On the growth and decay of one- dimensional acceleration waves
- Hyperbolic systems of conservation laws II
- Weakly nonlinear high frequency waves
- Global Existence and Asymptotic Stability for a Semilinear Hyperbolic Volterra Equation with Large Initial Data
- Resonantly Interacting Weakly Nonlinear Hyperbolic Waves. I. A Single Space Variable
- Weak solutions for a nonlinear system in viscoelasticity
- Resonantly Interacting, Weakly Nonlinear Hyperbolic Waves. II. Several Space Variables
- On energies for nonlinear viscoelastic materials of single-integral type
- Shock Structure in Viscoelastic Materials
- Formation of singularities for wave equations including the nonlinear vibrating string
- The Signaling Problem in Nonlinear Hyperbolic Wave Theory
- On the thermodynamics of viscoelastic materials of single-integral type
- The Riemann Problem for General 2 × 2 Conservation Laws
This page was built for publication: Asymptotic Analysis of a Hyperbolic Mixed Problem in One‐Dimensional Viscoelasticity