کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610108 1338544 2015 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data
چکیده انگلیسی

This paper is concerned with the global existence of classical solutions with large initial data away from vacuum to the Cauchy problem of the one-dimensional isothermal compressible fluid models of Korteweg type with density-dependent viscosity coefficient and capillarity coefficient. The case when the viscosity coefficient μ(ρ)=ραμ(ρ)=ρα and the capillarity coefficient κ(ρ)=ρβκ(ρ)=ρβ for some parameters α,β∈Rα,β∈R is considered. Under some conditions on α,βα,β, we first show the global existence of large solutions around constant states if the far-fields of the initial data are the same, while if the far-fields of the initial data are different, we prove the global stability of rarefaction waves with large strength. Here global stability means the initial perturbation can be arbitrarily large. Our analysis is based on the elementary energy method and the technique developed by Y. Kanel' [29].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 8, 15 October 2015, Pages 4376–4411
نویسندگان
, , , ,