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Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type. (English) Zbl 1015.35075
The paper concerns the multidimensional transonic shocks for the Euler equations for steady potential compressible fluids. One proves the existence and shows the stability and uniqueness of the solution of the truncated free boundary problem. In addition the existence and stability of multidimensional transonic shocks near spherical or circular transonic shock are established.

MSC:
35M10 PDEs of mixed type
35R35 Free boundary problems for PDEs
76H05 Transonic flows
76L05 Shock waves and blast waves in fluid mechanics
35B45 A priori estimates in context of PDEs
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