کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613115 1338725 2009 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation
چکیده انگلیسی

We investigate totally linearly degenerate hyperbolic systems with relaxation. We aim to study their semilinear behavior, which means that the local smooth solutions cannot develop shocks, and the global existence is controlled by the supremum bound of the solution. In this paper we study two specific examples: the Suliciu-type and the Kerr–Debye-type models. For the Suliciu model, which arises from the numerical approximation of isentropic flows, the semilinear behavior is obtained using pointwise estimates of the gradient. For the Kerr–Debye systems, which arise in nonlinear optics, we show the semilinear behavior via energy methods. For the original Kerr–Debye model, thanks to the special form of the interaction terms, we can show the global existence of smooth solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 246, Issue 1, 1 January 2009, Pages 291-319