Asymptotic behavior of nonlinear waves in elastic media with dispersion and dissipation

DOI10.1007/S11232-006-0067-8zbMath1177.74207OpenAlexW2035948725MaRDI QIDQ1047962

A. P. Chugainova

Publication date: 9 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-006-0067-8

zbMATH Keywords

dissipationdispersionshock wavesnonlinear hyperbolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear waves in solid mechanics (74J30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (7)

Special discontinuities in nonlinearly elastic media ⋮ Long nonlinear waves in anisotropic cylinders ⋮ The effect of small-scale processes in the structure of discontinuities on the solution of the Riemann problem ⋮ Stability of shock wave structures in nonlinear elastic media ⋮ Shock waves in anisotropic cylinders ⋮ Classical and nonclassical discontinuities and their structures in nonlinear elastic media with dispersion and dissipation ⋮ Longitudinal and torsional shock waves in anisotropic elastic cylinders

Cites Work

• Unnamed Item
• Numerical methods of solving one-dimensional non-stationary gas-dynamic problems

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