6,557 research outputs found
Global behavior of solutions to a reaction-diffusion system
No full textCui, Shangbin. (1998). Global behavior of solutions to a reaction-diffusion system. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3206
Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems
No full textCui, Shangbin. (1998). Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3207
Local and global existence of solutions to semilinear parabolic initial value problems
No full textCui, Shangbin. (1998). Local and global existence of solutions to semilinear parabolic initial value problems. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3208
Analysis of a mathematical model of protocell
No full textCui, Shangbin; Friedman, Avner. (1999). Analysis of a mathematical model of protocell. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3297
Analysis of a mathematical model of the growth of necrotic tumors
No full textCui, Shangbin; Friedman, Avner. (1999). Analysis of a mathematical model of the growth of necrotic tumors. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3276
Analysis of a mathematical model of the effect of inhibitors on the growth of tumors
No full textCui, Shangbin; Friedman, Avner. (1998). Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3246
Global existence for semilinear Schrödinger equations in 2+1 dimensions
No full textAbstractThis paper is concerned with global well-posedness of the 2-dimensional defocusing semilinear Schrödinger equation iut+Δu=|u|2mu in the Sobolev space Hs(R2). In a previous work of Guo and Cui [C. Guo, S. Cui, Global existence for 2D nonlinear Schrödinger equations via high-low frequency decomposition method, J. Math. Anal. Appl. 324 (2006) 882–907] it was proved that global well-posedness holds in Hs(R2) for s>10m−610m−5. That result is obtained by using the high-low frequency decomposition method. In this paper we apply the I-method to improve that result, and prove that global well-posedness holds in Hs(R2) for s>1−5−174m
Native p-type transparent conductive CuI via intrinsic defects
No full textThe ability of CuI to be doped p-type via the introduction of native defects has been investigated using first-principles pseudopotential calculations based on density functional theory. The Cu vacancy has a lower formation energy than any of the other native defects, which include I vacancy (V(I)), Cu interstitial (Cu(i)), I interstitial (I(i)), Cu antisite (Cu(I)), and I antisite (I(Cu)). Combined with its shallow acceptor level, it offers sufficient hole concentrations in CuI. The natural band alignments as compared to zinc-blende ZnS, ZnSe, and ZnTe have also been calculated in order to further identify the p-type dopability of CuI. It is found that CuI has a relatively high valence band maximum and conduction band minimum, which also makes it easy to dope CuI p-type in terms of the doping limit rule. In addition, the small effective mass of the light hole-about 0.303m(0)-can provide high mobility and p-type conductivity in CuI. All of these results make CuI an ideal candidate for native p-type materials (C) 2011 American Institute of Physics. [doi:10.1063/1.3633220
Lie group action and stability analysis of stationary solutions for a free boundary problem modelling tumor growth
No full textAbstractIn this paper we study asymptotic behavior of solutions for a free boundary problem modelling tumor growth. We first establish a general result for differential equations in Banach spaces possessing a Lie group action which maps a solution into new solutions. We prove that a center manifold exists under certain assumptions on the spectrum of the linearized operator without assuming that the space in which the equation is defined is of either DA(θ) or DA(θ,∞) type. By using this general result and making delicate analysis of the spectrum of the linearization of the stationary free boundary problem, we prove that if the surface tension coefficient γ is larger than a threshold value γ* then the unique stationary solution is asymptotically stable modulo translations, provided the constant c is sufficiently small, whereas if γ<γ* then this stationary solution is unstable
Well-posedness of a multidimensional free boundary problem modelling the growth of nonnecrotic tumors
No full textAbstractIn this paper we study a free boundary problem modelling the growth of nonnecrotic tumors. The main trait of this free boundary problem is that it is essentially multidimensional, so that its well-posedness is hard to establish by using the usual methods in the classical theory of free boundary problems. In this paper we use the functional analysis method based on the theory of analytic semigroups to prove that this problem has a unique local solution in suitable function spaces. Continuous dependence of the solution on the initial data and regularities of the solution can also be easily obtained by using the argument of this paper
- …
