Zobrazeno 1 - 10 of 70 pro vyhledávání: '"Shaomei, Fang"'
1
Akademický článek
Well-posedness of the solution of the fractional semilinear pseudo-parabolic equation
Autor: Jiazhuo Cheng, Shaomei Fang
Publikováno v: Boundary Value Problems, Vol 2020, Iss 1, Pp 1-16 (2020)
Abstract This article concerns the Cauchy problem for the fractional semilinear pseudo-parabolic equation. Through the Green’s function method, we prove the pointwise convergence rate of the solution. Furthermore, using this precise pointwise struc
Externí odkaz: https://doaj.org/article/9a40526142534766bfe76720cff1de48
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3
Akademický článek
Alternating-direction implicit finite difference methods for a new two-dimensional two-sided space-fractional diffusion equation
Autor: Xiucao Yin, Shaomei Fang, Changhong Guo
Publikováno v: Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-17 (2018)
Abstract According to the principle of conservation of mass and the fractional Fick’s law, a new two-sided space-fractional diffusion equation was obtained. In this paper, we present two accurate and efficient numerical methods to solve this equati
Externí odkaz: https://doaj.org/article/fd382333c7ce46d1b2e22ffda36844d7
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4
Akademický článek
Existence of solutions for a fractional elliptic problem with critical Sobolev-Hardy nonlinearities in R^N
Autor: Lingyu Jin, Shaomei Fang
Publikováno v: Electronic Journal of Differential Equations, Vol 2018, Iss 12,, Pp 1-23 (2018)
In this article, we study the fractional elliptic equation with critical Sobolev-Hardy nonlinearity $$\displaylines{ (-\Delta)^{\alpha} u+a(x) u=\frac{|u|^{2^*_{s}-2}u}{|x|^s}+k(x)|u|^{q-2}u,\cr u\in H^\alpha(\mathbb{R}^N), }$$ where $24\alpha$
Externí odkaz: https://doaj.org/article/53027abfcf8e4ee5910619fbcdaf558b
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5
Global weak solutions to a phase-field model for motion of grain boundaries
Autor: Zixian Zhu, Boling Guo, Shaomei Fang
Publikováno v: Applied Mathematics and Mechanics. 43:1777-1792
We employ the Galerkin method to prove the global existence of weak solutions to a phase-field model which is suitable to describe a sort of interface motion driven by configurational forces. The higher-order derivative of unknown S exists in the sen
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1bd4108c0d09c7273795fb1fd2893ac5
https://doi.org/10.1007/s10483-022-2915-9
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6
Akademický článek
Existence and blowup of solutions for the modified Klein-Gordon-Zakharov equations for plasmas with a quantum correction
Autor: Changhong Guo, Shaomei Fang
Publikováno v: Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-23 (2017)
Abstract This paper studies the existence and blowup of solutions for the modified Klein-Gordon-Zakharov equations for plasmas with a quantum correction, which describe the interaction between high frequency Langmuir waves and low frequency ion-acous
Externí odkaz: https://doaj.org/article/fc08c9ab44d4470287deba8d6e58feee
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