Transonic shocks for the full compressible Euler system in a general two-dimensional de Laval nozzle
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Publication:1944701
DOI10.1007/s00205-012-0580-xzbMath1320.76056OpenAlexW1963870305MaRDI QIDQ1944701
Jun Li, Zhouping Xin, Hui Cheng Yin
Publication date: 27 March 2013
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-012-0580-x
Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Euler equations (35Q31)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Transonic nozzle flows and free boundary problems for the full Euler equations
- The transonic shock in a nozzle, 2-D and 3-D complete Euler systems
- Three-dimensional transonic shocks in a nozzle
- Global transonic conic shock wave for the symmetrically perturbed supersonic flow past a cone
- A free boundary value problem for the full Euler system and 2-D transonic shock in a large variable nozzle
- On global transonic shocks for the steady supersonic Euler flows past sharp 2-D wedges
- Transonic shock problem for the Euler system in a nozzle
- On transonic shocks in a nozzle with variable end pressures
- Nonlinear stability and instability of transonic flows through a nozzle
- The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow
- Mixed boundary value problems for elliptic and parabolic differential equations of second order
- Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions
- Intermediate Schauder estimates
- Transonic gas flow in a duct of varying area
- Transonic shocks and free boundary problems for the full Euler equations in infinite nozzles
- Two-dimensional regular shock reflection for the pressure gradient system of conservation laws
- STABILITY OF CYLINDRICAL TRANSONIC SHOCKS FOR THE TWO-DIMENSIONAL STEADY COMPRESSIBLE EULER SYSTEM
- Supersonic flow onto a solid wedge
- Transonic shocks in 3-D compressible flow passing a duct with a general section for Euler systems
- Multiple Steady States for 1-D Transonic Flow
- On Dirichlet’s Problem for Elliptic Equations in Sectionally Smooth n-Dimensional Domains
- Smoothness properties of solutions of mixed boundary value problems for elliptic equations in sectionally smooth n-dimensional domains
- Formation of singularities in one-dimensional nonlinear wave propagation
- Potential theory for regular and mach reflection of a shock at a wedge
- Stability of transonic shock fronts in two-dimensional Euler systems
- Global Multidimensional Transonic Conic Shock Wave for the Perturbed Supersonic Flow Past a Cone
- On Transonic Shocks in Two‐Dimensional Variable‐Area Ducts for Steady Euler System
- Transonic shock in a nozzle I: 2D case