On the existence and regularity of solutions of semihyperbolic patches to 2‐D Euler equations with van der Waals gas
DOI10.1111/SAPM.12449zbMath1529.35347arXiv2102.03559MaRDI QIDQ6085666
T. Raja Sekhar, Rahul Barthwal
Publication date: 12 December 2023
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.03559
Smoothness and regularity of solutions to PDEs (35B65) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) General aerodynamics and subsonic flows (76G25) Gas dynamics (general theory) (76N15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of gases (82D05) 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
- 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
- Simple waves and a characteristic decomposition of the two-dimensional compressible Euler equations
- On the expansion of a wedge of van der Waals gas into a vacuum. II
- Interaction of four rarefaction waves in the bi-symmetric class of the two-dimensional Euler equations
- Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics
- 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
- Degenerate Goursat-type boundary value problems arising from the study of two-dimensional isothermal Euler equations
- On the expansion of a wedge of van der Waals gas into a vacuum
- Semi-hyperbolic patches of solutions to the two-dimensional nonlinear wave system for Chaplygin gases
- On the Two-Dimensional Gas Expansion for Compressible Euler Equations
- Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
- The Triple Point Paradox for the Nonlinear Wave System
- Self-Similar Solutions for the Triple Point Paradox in Gasdynamics
- Transonic Shock Formation in a Rarefaction Riemann Problem for the 2D Compressible Euler Equations
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
- The regularity of semi-hyperbolic patches at sonic lines for the pressure gradient equation in gas dynamics
- Sonic-supersonic solutions for the steady Euler equations
- The Regularity of Semihyperbolic Patches Near Sonic Lines for The 2-D Euler System in Gas Dynamics
- Critical Transonic Shock and Supersonic Bubble in Oblique Rarefaction Wave Reflection along a Compressive Corner
This page was built for publication: On the existence and regularity of solutions of semihyperbolic patches to 2‐D Euler equations with van der Waals gas
