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báo cáo hóa học:" Global existence and asymptotic behavior of smooth solutions for a bipolar Euler-Poisson system in the quarter plane"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Global existence and asymptotic behavior of smooth solutions for a bipolar Euler-Poisson system in the quarter plane | Boundary Value Problems SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. Global existence and asymptotic behavior of smooth solutions fora bipolar Euler-Poisson system in the quarter plane Boundary Value Problems 2012 2012 21 doi 10.1186 1687-2770-2012-21 Yeping Li ypleemei@yahoo.com.cn ISSN 1687-2770 Article type Research Submission date 26 May 2011 Acceptance date 16 February 2012 Publication date 16 February 2012 Article URL http www.boundaryvalueproblems.com content 2012 1 21 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Boundary Value Problems go to http www.boundaryvalueproblems.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2012 Li licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Global existence and asymptotic behavior of smooth solutions for a bipolar Euler-Poisson system in the quarter plane Yeping Li Department of Mathematics Shanghai Normal University Shanghai 200234 P. R. China Email address ypleemei@yahoo.com.cn Abstract In the article a one-dimensional bipolar hydrodynamic model Euler-Poisson system in the quarter plane is considered. This system takes the form of Euler-Poisson with electric field and frictional damping added to the momentum equations. The global existence of smooth small solutions for the corresponding initial-boundary value problem is firstly shown. Next the asymptotic behavior of the solutions towards the nonlinear diffusion waves which are .