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Weak solutions of transonic flow by compensated compactness. (English) Zbl 0617.76063

Dynamical problems in continuum physics, Proc. Workshop IMA, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 4, 253-256 (1987).
[For the entire collection see Zbl 0612.00017.]
Our objective is to establish an existence theory for weak solutions for compressible inviscid potential transonic flow. There are some missing links and we will point them out enroute. The main idea is to solve the problem with viscosity, to look at the limit as viscosity vanishes, and to establish that in the limit the equations of inviscid flow are satisfied.

MSC:

76H05 Transonic flows

Citations:

Zbl 0612.00017