SUBSONIC SOLUTIONS TO A SHOCK DIFFRACTION PROBLEM BY A CONVEX CORNERED WEDGE FOR THE PRESSURE GRADIENT SYSTEM

Sun Yinzheng; Wang Qin; Song Kyungwoo

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SUBSONIC SOLUTIONS TO A SHOCK DIFFRACTION PROBLEM BY A CONVEX CORNERED WEDGE FOR THE PRESSURE GRADIENT SYSTEM

机译：通过凸面楔形的压力梯度系统对冲击衍射问题的亚音速解

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摘要

We establish the global existence of subsonic solutions to a two dimensional Riemann problem governed by a self-similar pressure gradient system for shock diffraction by a convex cornered wedge. Since the boundary of the subsonic region consists of a transonic shock and a part of a sonic circle, the governing equation becomes a free boundary problem for nonlinear degenerate elliptic equation of second order with a degenerate oblique derivative boundary condition. We also obtain the optimal C-0,C-1-regularity of the solutions across the degenerate sonic boundary.

机译：我们建立了通过凸角楔形的自相似压力梯度系统来控制的二维Riemann问题的全球亚音问解决问题。由于亚音区区域的边界由跨音频冲击和声波圈的一部分组成，因此控制方程成为具有退行倾斜衍生边界条件的二阶的非线性退化椭圆方程的自由边界问题。我们还获得横跨退化声学边界的解决方案的最佳C-0，C-1规则性。

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来源
《Communications on pure and applied analysis》 |2020年第10期|共22页
作者
Sun Yinzheng; Wang Qin; Song Kyungwoo;
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作者单位

Yunnan Univ Dept Math Kunming 650091 Yunnan Peoples R China;

Yunnan Univ Dept Math Kunming 650091 Yunnan Peoples R China;

Kyung Hee Univ Dept Math Seoul 02447 South Korea;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Pressure gradient system; free boundary problem; shock diffraction; degenerate elliptic equation; transonic shock; Riemann problem;

机译：压力梯度系统;自由边界问题;休克衍射;退化椭圆方程;横震;Riemann问题;

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1. SUBSONIC SOLUTIONS TO A SHOCK DIFFRACTION PROBLEM BY A CONVEX CORNERED WEDGE FOR THE PRESSURE GRADIENT SYSTEM [J] . Sun Yinzheng, Wang Qin, Song Kyungwoo Communications on pure and applied analysis . 2020,第10期

机译：通过凸面楔形的压力梯度系统对冲击衍射问题的亚音速解
2. SHOCK DIFFRACTION PROBLEM BY CONVEX CORNERED WEDGES FOR ISOTHERMAL GAS [J] . Qin WANG, Kyungwoo SONG 数学物理学报（英文版） . 2021,第004期

机译：SHOCK DIFFRACTION PROBLEM BY CONVEX CORNERED WEDGES FOR ISOTHERMAL GAS
3. GLOBAL SOLUTIONS OF SHOCK REFLECTION PROBLEM FOR THE PRESSURE GRADIENT SYSTEM [J] . Yang Hanchun, Zhang Meimei, Wang Qin Communications on pure and applied analysis . 2020,第6期

机译：压力梯度系统的冲击反射问题的全局解
4. Leading Edge Bluntness Effects on Shock Wave/Boundary Layer Interactions near a Convex Corner [C] . Zhufei Li, Jiming Yang AIAA international space planes and hypersonic systems and technologies conference . 2015

机译：前沿钝度对凸角附近冲击波/边界层相互作用的影响
5. Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain. [D] . Banerjee, Agnid. 2014

机译：归一化的p-拉普拉斯演化：完全非线性抛物方程的非负解的边界行为：具有在凸域中消失的Neumann（dirichlet）数据的p调和系统的梯度界。
6. Comparison of left atrial pressure and wedge pulmonary capillary pressure. Pressure gradients between left atrium and left ventricle. [O] . D Verel, N H Stentiford 1970

机译：比较左心房压力和楔形肺毛细血管压力。左心房和左心室之间的压力梯度。
7. Shock diffraction by convex cornered wedges for the nonlinear wave system. [O] . Xiang, W, Chen, G-Q, Deng, X 2013

机译：凸角楔对非线性波系统的冲击衍射。
8. Asymptotic Solutions for Supersonic Rotational Flow around a Convex Corner Using a New Coordinate System [R] . Adamson, T. C. 1968

机译：用新坐标系求凸凸角周围超音速旋转流的渐近解

SUBSONIC SOLUTIONS TO A SHOCK DIFFRACTION PROBLEM BY A CONVEX CORNERED WEDGE FOR THE PRESSURE GRADIENT SYSTEM

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