کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773904 1631510 2017 55 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Long time well-posedness of Prandtl equations in Sobolev space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Long time well-posedness of Prandtl equations in Sobolev space
چکیده انگلیسی
In this paper, we study the long time well-posedness for the nonlinear Prandtl boundary layer equation on the half plane. While the initial data are small perturbations of some monotonic shear profile, we prove the existence, uniqueness and stability of solutions in weighted Sobolev space by energy methods. The key point is that the life span of the solution could be any large T as long as its initial datum is a perturbation around the monotonic shear profile of small size e−T. The nonlinear cancellation properties of Prandtl equations under the monotonic assumption are the main ingredients to establish a new energy estimate.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 12, 15 December 2017, Pages 8749-8803
نویسندگان
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