IMPLODING CYLINDRICAL AND SPHERICAL SHOCK WAVES IN A NON-IDEAL MEDIUM

DOI10.1142/S0219891604000184zbMath1066.35060MaRDI QIDQ4657746

V. D. Sharma, G. Madhumita

Publication date: 14 March 2005

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

zbMATH Keywords

self-similar solutionimplosionnon-ideal mediumexact similarity solutionlow density gas

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05)

Related Items (9)

A self-similar solution of exponential shock waves in non-ideal magnetogasdynamics ⋮ Similarity solutions of cylindrical shock waves in non-ideal magnetogasdynamics with thermal radiation ⋮ One-dimensional cylindrical shock waves in non-ideal gas under magnetic field ⋮ Quasi-similar solution of the strong shock wave problem in non-ideal gas dynamics ⋮ Spherical shock wave generated by a moving piston in mixture of a non-ideal gas and small solid particles under a gravitational field ⋮ Similarity Solutions for Strong Shocks in an Ideal Gas ⋮ Propagation of non-planar weak and strong shocks in a non-ideal relaxing gas ⋮ Growth and decay behaviour of a sawtooth profile in non-ideal gas ⋮ Similarity solutions for imploding strong shock waves in a van der Waals gas

Cites Work

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• Self-similar shocks in a dusty gas
• One-dimensional pulse propagation in deformable dielectrics with internal state variables
• Evolutionary behavior of induced discontinuities behind one dimensional shock waves in nonlinear elastic materials
• Similarity solutions for converging shocks in a relaxing gas
• Three-dimensional shock wave propagation in an ideal gas
• Strong Convergent Shock Waves Near the Center of Convergence:A Power Series Solution
• The converging shock wave from a spherical or cylindrical piston
• Structure and stability of a spherical shock wave in a Van der Waals gas
• On one-dimensional planar and nonplanar shock waves in a relaxing gas
• One-dimensional shock waves in simple materials with memory

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