کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6425386 1633803 2015 42 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models
چکیده انگلیسی
We discuss general incompressible inviscid models, including the Euler equations, the surface quasi-geostrophic equation, incompressible porous medium equation, and Boussinesq equations. All these models have classical unique solutions, at least for short time. We show that they have real analytic Lagrangian paths. More precisely, we show that as long as a solution of any of these equations is in a class of regularity that assures Hölder continuous gradients of velocity, the corresponding Lagrangian paths are real analytic functions of time. The method of proof is conceptually straightforward and general, and we address the combinatorial issues head-on.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 285, 5 November 2015, Pages 352-393
نویسندگان
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