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排序方式: 共有124条查询结果,搜索用时 31 毫秒
1.
Blowup behaviors for diffusion system coupled through nonlinear boundary conditions in a half space 总被引:1,自引:0,他引:1
LIN ZhiguiSchool of Mathematical Science Yangzhou University Yangzhou China 《中国科学A辑(英文版)》2004,47(1):72-82
This paper deals with the blowup estimates near the blowup time for the system of heat equations in a half space coupled through nonlinear boundary conditions. The upper and lower bounds of blowup rate are established. The uniqueness and nonunique-ness results for the system with vanishing initial value are given. 相似文献
2.
Jianxun Hu 《Compositio Mathematica》2001,125(3):345-352
In this paper, using the gluing formula of Gromov–Witten invariants for symplectic cutting developed by Li and Ruan, we established some relations between Gromov–Witten invariants of a semipositive symplectic manifold M and its blow-ups along a smooth surface. 相似文献
3.
We consider a generalization of Camassa–Holm‐type equation including the Camassa–Holm equation and the Novikov equation. We mainly establish the existence of solutions in lower order Sobolev space with . Then, we present a precise blowup scenario and give a global existence result of strong solutions. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
4.
研究了三维空间中带非线性阻尼项的可压缩等熵欧拉方程组Dirichlet初边值问题.采用泛函方法,定义几种不同的泛函,当初始速度足够大时分别得到了经典解在某一时间内必定爆破的结论.由于出现了非线性阻尼项,较之线性阻尼的情形,经典解爆破的难度随之增加. 相似文献
5.
The primary goal of this paper is to present a comprehensive study of the nonlinear Schr?dinger equations with combined nonlinearities of the power-type and Hartree-type. Under certain structural conditions, the authors are able to provide a complete picture of how the nonlinear Schr?dinger equations with combined nonlinearities interact in the given energy space. The method used in the paper is based upon the Morawetz estimates and perturbation principles. 相似文献
6.
Hon Hung Terence Liu 《Mathematical Methods in the Applied Sciences》2019,42(16):5383-5389
The diffusion problem in a subdiffusive medium is formulated by using the fractional differential operator. In this paper, we consider a fractional differential equation with concentrated source. The existence of the solution in a finite time is given. The finite time blow‐up criteria for the solution of the problem is established, and the location of the blow‐up point is investigated. 相似文献
7.
In this paper, we give a new proof of the scattering and blow‐up theory of the two coupled nonlinear Schrödinger system via establishing the corresponding interaction Morawetz estimate and scattering criterion. The method of this paper simplifies the proof in Xu, and the result of the paper improves the result in Xu. 相似文献
8.
This paper deals with the blowup behavior of the radially symmetric solution of the nonlinear heat equation ut = ?u + e~u in R~N. The authors show the nonexistence of type II blowup under radial symmetric case in the lower supercritical range 3 ≤ N ≤ 9,and give a sufficient condition for the occurrence of type I blowup. The result extends that of Fila and Pulkkinen(2008) in a finite ball to the whole space. 相似文献
9.
杨志坚 《应用泛函分析学报》2002,4(4):350-356
研究一类非线性发展方程初边值问题整体弱解的存在性,渐近性和解的爆破问题,证明在关于非线性项的不同条件下,上述初边值问题分别在大初值和小初始能量的情况下存在整体弱解,并且讨论了弱解的渐近性。还证明:在相反的条件下,上述弱解在有限时刻爆破,并且给出了一个实例。 相似文献
10.
We consider the critical nonlinear Schrödinger equation with initial condition in the energy space and study the dynamics of finite time blow-up solutions. In an earlier sequence of papers, the authors established for a certain class of initial data on the basis of dispersive properties in a sharp and stable upper bound on the blow-up rate: .
by exhibiting the dispersive structure in the scaling invariant space for this log-log regime. In addition, we will extend to the pure energy space a dynamical characterization of the solitons among the zero energy solutions.
In an earlier paper, the authors then addressed the question of a lower bound on the blow-up rate and proved for this class of initial data the nonexistence of self-similar solutions, that is,
In this paper, we prove the sharp lower bound
by exhibiting the dispersive structure in the scaling invariant space for this log-log regime. In addition, we will extend to the pure energy space a dynamical characterization of the solitons among the zero energy solutions.