کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1139957 956705 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Instability in supercritical nonlinear wave equations: Theoretical results and symplectic integration
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Instability in supercritical nonlinear wave equations: Theoretical results and symplectic integration
چکیده انگلیسی
Nonlinear wave evolutions involve a dynamical balance between linear dispersive spreading of the waves and nonlinear self-interaction of the waves. In sub-critical settings, the dispersive spreading is stronger and therefore solutions are expected to exist globally in time. We show that in the supercritical case, the nonlinear self-interaction of the waves is much stronger. This leads to some sort of instability of the waves. The proofs are based on the construction of high frequency approximate solutions. Preliminary numerical simulations that support these theoretical results are also reported.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 80, Issue 1, September 2009, Pages 2-9
نویسندگان
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