Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state
DOI10.1111/sapm.12575zbMath1529.35348arXiv2110.08463MaRDI QIDQ6068183
T. Raja Sekhar, Rahul Barthwal
Publication date: 15 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.08463
wave interactionscharacteristic decompositionisentropic Euler equations2-D Riemann problemgas expansion2-D-modified shallow water equations
Gas dynamics (general theory) (76N15) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Self-similar solutions to PDEs (35C06) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Expansion of a wedge of non-ideal gas into vacuum
- Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations
- Semi-hyperbolic patches of solutions to the two-dimensional Euler equations
- Semi-hyperbolic patches of solutions of the pressure gradient system
- Interaction of rarefaction waves of the two-dimensional self-similar Euler equations
- Semi-hyperbolic patches of solutions to the two-dimensional compressible magnetohydrodynamic equations
- An improved regularity result of semi-hyperbolic patch problems for the 2-D isentropic Euler equations
- Interaction of a centered simple wave and a planar rarefaction wave of the two-dimensional Euler equations for pseudo-steady compressible flow
- The regularity of a degenerate Goursat problem for the 2-D isothermal Euler equations
- Simple waves for two-dimensional magnetohydrodynamics with extended Chaplygin gas
- Axisymmetric solutions of the two-dimensional Euler equations with a two-constant equation of state
- Expansion of gas by turning a sharp corner into vacuum for 2-D pseudo-steady compressible magnetohydrodynamics system
- On the expansion of a wedge of van der Waals gas into a vacuum
- Centered wave bubbles with sonic boundary of pseudosteady Guderley Mach reflection configurations in gas dynamics
- Riemann problem and elementary wave interactions in isentropic magnetogasdynamics
- Existence and regularity of solutions of a supersonic-sonic patch arising in axisymmetric relativistic transonic flow with general equation of state
- On the Two-Dimensional Gas Expansion for Compressible Euler Equations
- On the rarefaction waves of the two-dimensional compressible Euler equations for magnetohydrodynamics
- The Triple Point Paradox for the Nonlinear Wave System
- Interaction of Shallow Water Waves
- Transonic Shock Formation in a Rarefaction Riemann Problem for the 2D Compressible Euler Equations
- Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
- Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
- Two-dimensional non-self-similar Riemann solutions for a thin film model of a perfectly soluble anti-surfactant solution
- Global solutions to a class of two-dimensional Riemann problems for the Euler equations with a general equation of state
- The two-dimensional unsteady supersonic flow around a convex corner
- Particular solutions and Riemann problem for modified shallow water equations
This page was built for publication: Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state
