Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841343 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 16 Pages |
Abstract
We study a problem for two-dimensional steady potential and isentropic Euler equations in a bounded domain, where an artificial detached shock interacts with a wedge. Using the stream function, we obtain a free boundary problem for the subsonic state and the detached artificial shock curve and we prove that such configuration admits a unique solution in certain weighted Hölder spaces. The proof is based on various Hölder and Schauder estimates for second-order elliptic equations and fixed point theorems. Moreover, we pose an energy principle and remark that the physical attached shock is the minimizer of the energy functional.
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Authors
Jun Chen, Cleopatra Christoforou, Katarina Jegdić,