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A variational inequality formulation for transonic compressible steady potential flows: Radially symmetric transonic shock. (arXiv:1709.09958v1 [math.AP])
来源于:arXiv
We establish a variational inequality formulation that captures the transonic
shock for a steady compressible potential flow. Its critical point satisfies
the transonic equation; moreover the associated jump conditions across its free
boundary match the usual Rankine-Hugoniot jump conditions for a shock. By means
of example we validate our formulation, and establish the necessary and
sufficient condition for the existence of a transonic shock. Numerical results
are also discussed. 查看全文>>