کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837782 908348 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An alternative energy bound derivation for a generalized Hasegawa–Mima equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
An alternative energy bound derivation for a generalized Hasegawa–Mima equation
چکیده انگلیسی

We present an alternative derivation of the H1H1-boundedness of solutions to a generalized Hasegawa–Mima equation, first investigated by Grauer (1998) [2]. We apply a Lyapunov function technique similar to the one used for constructing energy bounds for the Kuramoto–Sivashinsky equation. Different from Grauer (1998) [2], who uses this technique in a Fourier space approach, we employ the physical space construction of the Lyapunov function, as developed in Bronski and Gambill (2006) [11]. Our approach has the advantage that it is more transparent in what concerns the estimates and the dominant terms that are being retained. A key tool of the present work, which replaces the algebraic manipulations on the Fourier coefficients from the other approach, is a Hardy–Rellich type inequality.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 13, Issue 3, June 2012, Pages 1362–1368
نویسندگان
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