کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5773515 | 1413428 | 2017 | 40 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic stability of solitary waves in generalized Gross-Neveu model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Asymptotic stability of solitary waves in generalized Gross-Neveu model Asymptotic stability of solitary waves in generalized Gross-Neveu model](/preview/png/5773515.png)
چکیده انگلیسی
For the nonlinear Dirac equation in (1+1)D with scalar self-interaction (Gross-Neveu model), with quintic and higher order nonlinearities (and within certain range of the parameters), we prove that solitary wave solutions are asymptotically stable in the “even” subspace of perturbations (to ignore translations and eigenvalues ±2Ïi). The asymptotic stability is proved for initial data in H1. The approach is based on the spectral information about the linearization at solitary waves which we justify by numerical simulations. For the proof, we develop the spectral theory for the linearized operators and obtain appropriate estimates in mixed Lebesgue spaces, with and without weights.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 34, Issue 1, JanuaryâFebruary 2017, Pages 157-196
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 34, Issue 1, JanuaryâFebruary 2017, Pages 157-196
نویسندگان
Andrew Comech, Tuoc Van Phan, Atanas Stefanov,