کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
841343 | 908507 | 2011 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence and uniqueness analysis of a detached shock problem for the potential flow
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Existence and uniqueness analysis of a detached shock problem for the potential flow Existence and uniqueness analysis of a detached shock problem for the potential flow](/preview/png/841343.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 3, 1 February 2011, Pages 705–720
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 3, 1 February 2011, Pages 705–720
نویسندگان
Jun Chen, Cleopatra Christoforou, Katarina Jegdić,