Regularity for a singular conservation law

DOI10.1016/0196-8858(86)90026-6zbMath0634.76073OpenAlexW2105647700MaRDI QIDQ1097125

Richard E. Meyer

Publication date: 1986

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(86)90026-6

zbMATH Keywords

regularizationillposednessglobally strong solutionsnonlinearity of conservation lawswater waves near shore

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Foundations of fluid mechanics (76A02)

Related Items (3)

Notes on wave attenuation on beaches ⋮ The near-shore behaviour of shallow-water waves with localized initial conditions ⋮ Overturning of nonlinear acoustic waves. Part 1 A general method

Cites Work

• Convergence of the viscosity method for isentropic gas dynamics
• An asymptotic method for a singular hyperbolic equation
• Water waves of finite amplitude on a sloping beach
• On the breaking of water waves of finite amplitude on a sloping beach
• The internal flow problem in axi-symmetric supersonic flow
• Motion of a bore over a sloping beach
• Global invertibility of Sobolev functions and the interpenetration of matter
• On the shore singularity of water waves. I. The local model
• On the shore singularity of water–wave theory. II. Small waves do not break on gentle beaches
• Climb of a bore on a beach. Part 1. Uniform beach slope
• THE APPROXIMATE EXTERNAL AND INTERNAL FLOW PAST A QUASI-CYLINDRICAL TUBE MOVING AT SUPERSONIC SPEEDS
• Flows through nozzles and related problems of cylindrical and spherical waves
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