کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616724 | 1631567 | 2013 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic behavior of solutions to conservation laws with diffusion-type terms of regularity-gain and regularity-loss
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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 behavior of solutions to conservation laws with diffusion-type terms of regularity-gain and regularity-loss Asymptotic behavior of solutions to conservation laws with diffusion-type terms of regularity-gain and regularity-loss](/preview/png/4616724.png)
چکیده انگلیسی
In this paper, we study asymptotic behaviors of solutions to the Cauchy problem of nonlinear conservation laws with a diffusion-type source term related to an index s∈Rs∈R. For s≤1s≤1 and s>1s>1, the diffusion-type term takes on a characteristic of regularity-gain and regularity-loss on the high frequency domain, respectively. By combining the Green function method with the energy method, we overcome the weakly dissipative structure of the equation for the case of s>1s>1 and obtain the global existence and optimal LpLp-norm time-decay rates of solutions. In the case of regularity-gain, pointwise estimates of solutions are shown by using the refined analysis on the Green function.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 400, Issue 2, 15 April 2013, Pages 635–650
Journal: Journal of Mathematical Analysis and Applications - Volume 400, Issue 2, 15 April 2013, Pages 635–650
نویسندگان
Wenjun Wang,