On the instability problem of a 3-D transonic oblique shock wave

DOI10.1016/j.aim.2015.06.018zbMath1331.35233arXiv1407.5517OpenAlexW2963678070MaRDI QIDQ2517380

Gang Xu, Liang Li, Hui Cheng Yin

Publication date: 18 August 2015

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

Full work available at URL: https://arxiv.org/abs/1407.5517

zbMATH Keywords

supersonic flowmodified Bessel functionpotential equation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65) Supersonic flows (76J20) Overdetermined initial-boundary value problems for PDEs and systems of PDEs (35N30)

Related Items

Multidimensional transonic shock waves and free boundary problems ⋮ Global Subsonic Jet with Strong Transonic Shock over a Convex Cornered Wedge for the Two-Dimensional Steady Full Euler Equations ⋮ Conical sonic-supersonic solutions for the 3-D steady full Euler equations ⋮ Persistence of the steady planar normal shock structure in 3‐D unsteady potential flows ⋮ Supersonic flow onto solid wedges, multidimensional shock waves and free boundary problems ⋮ Persistence of the Steady Normal Shock Structure for the Unsteady Potential Flow ⋮ Stability of attached transonic shocks in steady potential flow past three-dimensional wedges ⋮ Supersonic flow of a Chaplygin gas past a delta wing ⋮ Stability of transonic shocks in steady supersonic flow past multidimensional wedges

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of transonic shocks in supersonic flow past a wedge
• Global conic shock wave for the steady supersonic flow past a cone: isothermal case
• Global transonic conic shock wave for the symmetrically perturbed supersonic flow past a cone
• On global transonic shocks for the steady supersonic Euler flows past sharp 2-D wedges
• Intermediate Schauder estimates
• Existence of local solution to supersonic flow past a three-dimensional wing
• Supersonic flow past a nearly straight wedge
• Elliptic partial differential equations of second order
• Nonlinear stability of a self-similar 3-dimensional gas flow
• Global shock waves for the supersonic flow past a perturbed cone
• On the global existence and stability of a multi-dimensional supersonic conic shock wave
• Global supersonic conic shock wave for the steady supersonic flow past a cone: Polytropic gas
• On the existence and stability of a global subsonic flow in a 3D infinitely long cylindrical nozzle
• Two-dimensional regular shock reflection for the pressure gradient system of conservation laws
• Global existence of a shock for the supersonic flow past a curved wedge
• Nonexistence of global weak solution with only one stable supersonic conic shock wave for the steady supersonic Euler flow past a perturbed cone
• Instability of one global transonic shock wave for the steady supersonic Euler flow past a sharp cone
• Conical shock waves for an isentropic Euler system
• Supersonic flow onto a solid wedge
• Multi‐dimensional shock fronts for second order wave equations
• Oblique derivative problems in Lipschitz domains: II. Discontinuous boundary data.
• The existence of viscous profiles and admissibility for transonic shocks
• A free boundary problem for a quasi-linear degenerate elliptic equation: Regular reflection of weak shocks
• Global Multidimensional Transonic Conic Shock Wave for the Perturbed Supersonic Flow Past a Cone
• GLOBAL MULTIDIMENSIONAL SHOCK WAVE FOR THE STEADY SUPERSONIC FLOW PAST A THREE-DIMENSIONAL CURVED CONE
• A viscous approximation for a 2-D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow