Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow

DOI10.1137/19M1284531zbMath1439.35327arXiv1705.06837OpenAlexW3012021409MaRDI QIDQ4959839

Mikhail Feldman, Wei Xiang, Jingchen Hu, Gui-Qiang G. Chen

Publication date: 7 April 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06837

zbMATH Keywords

potential flow equationcompressible flowdegenerate elliptic equationsshock diffractionmixed elliptic-hyperbolic type

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Degenerate elliptic equations (35J70) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (6)

Shock diffraction problem by convex cornered wedges for isothermal gas ⋮ Global instability of multi-dimensional plane shocks for isothermal flow ⋮ Local well-posedness of unsteady potential flows near a space corner of right angle ⋮ Two-dimensional Riemann problems: transonic shock waves and free boundary problems ⋮ Configurations of shock regular reflection by straight wedges ⋮ Persistence of the Steady Normal Shock Structure for the Unsteady Potential Flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convexity of self-similar transonic shocks and free boundaries for the Euler equations for potential flow
• Global solutions of shock reflection by large-angle wedges for potential flow
• A global subsonic solution to an interacting transonic shock for the self-similar nonlinear wave equation
• Regularity of solutions to regular shock reflection for potential flow
• Multidimensional shock interaction for a Chaplygin gas
• Three-dimensional steady supersonic Euler flow past a concave cornered wedge with lower pressure at the downstream
• Two-dimensional regular shock reflection for the pressure gradient system of conservation laws
• Shock diffraction by convex cornered wedges for the nonlinear wave system
• Prandtl-Meyer reflection for supersonic flow past a solid ramp
• The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
• Supersonic flow onto a solid wedge
• Vorticity production in shock diffraction
• Oblique Derivative Problems for Elliptic Equations
• Free Boundary Problems for Nonlinear Wave Systems: Mach Stems for Interacting Shocks
• The diffraction of blast. I
• The Mach Reflection of Shock Waves at Nearly Glancing Incidence
• On nonlinear elliptic partial differential equations and hölder continuity
• The uniqueness of transonic shocks in supersonic flow past a 2-D wedge

This page was built for publication: Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow