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Two-Dimensional Regular Shock Reflection for the Pressure Gradient System of Conservation Laws
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chen, Shuxing |
| Copyright Year | 2006 |
| Abstract | We establish the existence of a global solution to a regular reflection of a shock hitting a ramp for the pressure gradient system of equations. The set-up of the reflection is the same as that of Mach’s experiment for the compressible Euler system, i.e., a straight shock hitting a ramp. We assume that the angle of the ramp is close to 90 degrees. The solution has a reflected bow shock wave, called the diffraction of the planar shock at the compressive corner, which is mathematically regarded as a free boundary in the self-similar variable plane. The pressure gradient system of equations is a subsystem, and an approximation, of the full Euler system, and we offer a couple of derivations. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.math.ntnu.no/conservation/2005/011.pdf |
| Alternate Webpage(s) | http://www.math.pitt.edu/~dwang/FRG/zheng.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Approximation Euler Gradient RAMP Simulation Software for Modelling Reliability, Availability and Maintainability Self-similarity Shock Shockwave Dosing Unit |
| Content Type | Text |
| Resource Type | Article |
