کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839400 | 1470469 | 2016 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lagrangian solutions to the 2D Euler system with L1L1 vorticity and infinite energy
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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: Lagrangian solutions to the 2D Euler system with L1L1 vorticity and infinite energy Lagrangian solutions to the 2D Euler system with L1L1 vorticity and infinite energy](/preview/png/839400.png)
چکیده انگلیسی
We consider solutions to the two-dimensional incompressible Euler system with only integrable vorticity, thus with possibly locally infinite energy. With such regularity, we use the recently developed theory of Lagrangian flows associated to vector fields with gradient given by a singular integral in order to define Lagrangian solutions, for which the vorticity is transported by the flow. We prove strong stability of these solutions via strong convergence of the flow, under the only assumption of L1L1 weak convergence of the initial vorticity. The existence of Lagrangian solutions to the Euler system follows for arbitrary L1L1 vorticity. Relations with previously known notions of solutions are established.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 132, February 2016, Pages 160–172
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 132, February 2016, Pages 160–172
نویسندگان
Anna Bohun, François Bouchut, Gianluca Crippa,