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6篇 您的检索式:作者名="Zhaoyin Xiang"
    题名 作者 年代 出处 被引量
1Global existence and decay of smooth solutions for the 3-D MHD-type equations without magnetic diffusion显示文摘We study the large time behavior of a 3-D MHD(magneto-hydrodynamical)-type system without magnetic diffusion introduced by Lin and Zhang(2014). By using the elementary energy method and interpolation technique, we prove the global existence and decay estimate of smooth solution near the equilibrium state(x3, 0).REN XiaoXia XIANG ZhaoYin ZHANG ZhiFei 2016Science China Mathematics2016,59,10:3
2Low regularity well-posedness for the viscous surface wave equation显示文摘In this paper, we prove the local well-posedness of the viscous surface wave equation in low regularity Sobolev spaces. The key points are to establish several new Stokes estimates depending only on the optimal boundary regularity and to construct a new iteration scheme on a known moving domain. Our method could be applied to some other fluid models with free boundaries.Xiaoxia Ren Zhaoyin Xiang Zhifei Zhang 2019Science China Mathematics2019,62,10:2
3A further blow -up analysis for a localized porous medium equation显示文摘Du Lili Xiang Zhaoyin 2006Appl Math Comput2006,179,1:1
4Blowup of solutions to a porous medium equation with nonlocal boundary condition 显示文摘Wang Yulan Mu Chunlai Xiang Zhaoyin 2007Appl Math Comput2007,192,:1
5Global well-posedness for the 2D incompressible magneto-micropolar fluid system with partial viscosity显示文摘In this paper,we consider an initial-boundary value problem for the 2D incompressible magnetomicropolar fluid equations with zero magnetic diffusion and zero spin viscosity in the horizontally infinite flat layer with Navier-type boundary conditions.We establish the global well-posedness of strong solutions around the equilibrium(0,e1,0).Hongxia Lin Zhaoyin Xiang 2020Science China Mathematics2020,63,7:0
6Immediate regularization of measure-type population densities in a two-dimensional chemotaxis systemwith signal consumption显示文摘This paper deals with the Neumann initial-boundary value problem for a classical chemotaxis system with signal consumption in a disk.In contrast to previous studies which have established a comprehensive theory of global classical solutions for suitably regular nonnegative initial data,the focus in the present work is on the question to which extent initially prescribed singularities can be regularized despite the presence of the nonlinear cross-diffusive interaction.The main result in this paper asserts that at least in the framework of radial solutions immediate regularization occurs under an essentially optimal condition on the initial distribution of the population density.More precisely,it will turn out that for any radially symmetric initial data belonging to the space of regular signed Borel measures for the population density and to L^(2) for the signal density,there exists a classical solution to the Neumann initial-boundary value problem,which is smooth and approaches the given initial data in an appropriate trace sense.Yulan Wang Michael Winkler Zhaoyin Xiang 2021Science China Mathematics2021,64,4:0
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