Group theoretic method for analyzing interaction of a weak discontinuity wave with a bore in shallow water waves

DOI10.1080/00036810412331297226zbMath1309.76082OpenAlexW2088549997WikidataQ58281551 ScholiaQ58281551MaRDI QIDQ4655406

J. Jena

Publication date: 11 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810412331297226

zbMATH Keywords

interaction of shock wavesweak discontinuitybore

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Waves for incompressible viscous fluids (76D33) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (12)

Interaction of an acceleration wave with a strong shock in reacting polytropic gases ⋮ Lie symmetries and exact solutions of shallow water equations with variable bottom ⋮ Evolution and interaction of a characteristic shock with an acceleration wave in a reacting gas ⋮ Self-similar solutions in a plasma with axial magnetic field (\(\theta\)-pinch) ⋮ Existence and interaction of acceleration wave with a characteristic shock in transient pinched plasma ⋮ Lie group of transformations to study anisotropic diffusion of scalar images ⋮ Interaction of an acceleration wave with a characteristic shock in interstellar gas clouds ⋮ Evolution of \(C^1\)-wave and its collision with the blast wave in one-dimensional non-ideal gas dynamics ⋮ Interaction of a characteristic shock with a weak discontinuity in a relaxing gas ⋮ Group theoretic method for analyzing interaction of a discontinuity wave with a strong shock in an ideal gas ⋮ Interaction of a weak discontinuity wave with a characteristic shock in a dusty gas ⋮ Lie group transformations for self‐similar shocks in a gas with dust particles

Cites Work

• On the evolution law of weak discontinuities for hyperbolic quasi-linear systems
• Self-similar shocks in a dusty gas
• Similarity solutions for converging shocks in a relaxing gas
• Lie transformation group solutions of nonlinear equations describing viscoelastic materials
• Hyperbolic systems of conservation laws II
• Motion of a bore over a sloping beach
• On interaction of shock waves with weak discontinuities
• The similarity solution for a bore on a beach
• Similarity Solutions for Reactive Shock Hydrodynamics
• The propagation of weak discontinuities in quasi-linear hyperbolic systems with discontinuous coefficients part I - fundamental theory^†
• Climb of a bore on a beach. Part 1. Uniform beach slope

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