共查询到20条相似文献,搜索用时 78 毫秒
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本文利用Fourier空间的比较原理研究一类拟线性抛物方程解的Blow-up问题,并给出了其解在有限时刻Blow-up的条件。 相似文献
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本文研究某一类半线性抛物型方程组解的Blow-up存在性及Blow-up点集的性质。并证明在一定条件下单点Blow-up. 相似文献
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本文研究某一类半线性抛物方程组解的Blow-up存在性及Blow-up点集的性质,并证明在一定条件下单点Blow-up。 相似文献
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一类非线性反应扩散方程解的Blow—up问题 总被引:3,自引:1,他引:2
本文得用极大值原理研究一类非线性反应扩散方程在各种边界条件下解的Blow-up问题,给出了整体解不存在的一系列定理,并得到了Blow-up时间T的上界。 相似文献
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本文讨论一类守恒相场模型弱解的性态,证明当a2p-1<0及初始数据充分大时解在有限时刻Blow-up 相似文献
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奇异半线性抛物方程初值问题解的存在性与不存在性,Blow—up问题… 总被引:6,自引:0,他引:6
该文研究了一类奇异半线性抛物方程初值问题的非负局部解存在与不存在的条件,解的Blow-up问题及当t↑∞时解的无限增长性。 相似文献
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一类多维非线性拟抛物方程的初边值问题 总被引:1,自引:0,他引:1
本文将二阶线性椭圆方程的已知结果与压缩映像原理结合研究任意维数的非线性拟抛物方程的初边值问题,讨论了解的光滑性渐近性质与blow-up,推广了很多已知结果。 相似文献
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穆春来 《数学物理学报(A辑)》1996,(Z1)
本文讨论下列具有非线性边界条件的初边值问题的整体解和Blow-up现象.该于如此现象我们已经得到一些结果,这里我们的目的是放松边界函数f(u)的假设,得到类似结果. 相似文献
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NoteontheBlow-upSetforASemilinearParabolicDifferentialSystem¥ChenFujun(陈富均)(ShangQiuTeacher'sCollege476000)Abstract:Thisnoted... 相似文献
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《数学物理学报(B辑英文版)》2020,(4)
In this article, we study the blow-up solutions for a case of b-family equations.Using the qualitative theory of differential equations and the bifurcation method of dynamical systems, we obtain five types of blow-up solutions: the hyperbolic blow-up solution, the fractional blow-up solution, the trigonometric blow-up solution, the first elliptic blow-up solution, and the second elliptic blow-up solution. Not only are the expressions of these blow-up solutions given, but also their relationships are discovered. In particular, it is found that two bounded solitary solutions are bifurcated from an elliptic blow-up solution. 相似文献
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This paper deals with the blow-up of positive solutions of the uniformly pa-rabolic equations ut = Lu + a(x)f(u) subject to nonlinear Neumann boundary conditions . Under suitable assumptions on nonlinear functi-ons f, g and initial data U0(x), the blow-up of the solutions in a finite time is proved by the maximum principles. Moreover, the bounds of "blow-up time" and blow-up rate are obtained. 相似文献
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一类非线性发展方程初边值问题解的Blow—up 总被引:3,自引:1,他引:2
杨志坚 《高校应用数学学报(A辑)》1993,(4):351-359
本文利用Fourier变换方法,研究了一类非线性拟双曲方程的初边值问题的解的bolw-up问题,并给出了其解在有限时间内bolw-up的条件。 相似文献
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In this article, we study the blow-up phenomena of generalized double dispersion equations u_(tt)-u_(xx)-u_(xxt) + u_(xxxx)-u_(xxtt)= f(u_x)_x.Under suitable conditions on the initial data, we first establish a blow-up result for the solutions with arbitrary high initial energy, and give some upper bounds for blow-up time T~* depending on sign and size of initial energy E(0). Furthermore, a lower bound for blow-up time T~* is determined by means of a differential inequality argument when blow-up occurs. 相似文献
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雷震 《数学年刊A辑(中文版)》2005,(2)
本文给出了理想磁流体动力学方程组的经典解在初始扰动适当大的情况下破裂的结果.文[1]证明了描述多方理想可压缩气体运动的欧拉系统的经典解在初始扰动适当大的情况下破裂的结果.本文将利用和文[1]相似的方法证明所得定理. 相似文献
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In this paper, we investigate the blow-up behavior of solutions of a parabolic equation with localized reactions. We completely classify blow-up solutions into the total blow-up case and the single point blow-up case, and give the blow-up rates of solutions near the blow-up time which improve or extend previous results of several authors. Our proofs rely on the maximum principle, a variant of the eigenfunction method and an initial data construction method. 相似文献
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《应用数学年刊》2014,(4)
This paper deals with the blow-up properties of positive solutions to a localized degenerate and singular parabolic equation with weighted nonlocal boundary conditions. Under appropriate hypotheses, the global existence and finite time blow-up of positive solutions are obtained. Furthermore, the global blow-up behavior and the uniform blow-up profile of blow-up solutions are also described. We find that the blow-up set is the whole domain [0, a], including the boundaries, and this differs from parabolic equations with local sources case or with homogeneous Dirichlet boundary conditions case. 相似文献
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Shi Hui Zhu 《数学学报(英文版)》2015,31(3):411-429
We study the blow-up solutions for the Davey–Stewartson system(D–S system, for short)in L2x(R2). First, we give the nonlinear profile decomposition of solutions for the D–S system. Then, we prove the existence of minimal mass blow-up solutions. Finally, by using the characteristic of minimal mass blow-up solutions, we obtain the limiting profile and a precisely mass concentration of L2 blow-up solutions for the D–S system. 相似文献