共查询到20条相似文献,搜索用时 31 毫秒
1.
徐玉梅 《数学物理学报(A辑)》2006,26(6):1089
In this article, the author considers the Cauchy problem for quasilinear non-strictly hyperbolic systems and obtain a blow-up result for the C1 solution to the Cauchy problem with weaker decaying initial data. 相似文献
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徐玉梅 《高校应用数学学报(英文版)》2006,21(4)
This paper deals with the asymptotic behavior of the life-span of classical solutions to Cauchy problem for general first order quasilinear strictly hyperbolic systems in two independent variables with weaker decaying initial data, and obtains a blow-up result for C1 solution to Cauchy problem. 相似文献
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This article considers Cauchy problem for quasilinear hyperbolic systems in diagonal form.A necessary and sufficient condition in guaranteeing that Cauchy problem admits a unique global classical solution on t 0 is obtained,and a sharp estimate of the life span for the classical solution is given. 相似文献
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THEUNIQUENESSANDCONTINUOUSDEPENDENCEFORCHARACTERISTICCAUCHYPROBLEMOFPARTIALDIFFERENTIALEQUATIONSLuanWengui(栾文贵)(ComputingCent... 相似文献
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This article is concerned with the ill-posed Cauchy problem associated with a densely defined linear operator A in a Banach space. A family of weak regularizing operators is introduced. If the spectrum of A is contained in a sector of right-half complex plane and its resolvent is polynomially bounded, the weak regularization for such ill-posed Cauchy problem can be shown by using the quasi-reversibility method and regularized semigroups. Finally, an example is given. 相似文献
7.
WANG Libin 《数学年刊B辑(英文版)》2002,23(4):439-454
The author gets a blow-up result of C1 solution to the Cauchy problem for a first order quasilinear non-strictly hyperbolic system in one space dimension. 相似文献
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In this article, the existence, uniqueness and regularities of the global generalized solution and global classical solution for the periodic boundary value problem and the Cauchy problem of the general cubic double dispersion equation
utt - uxx - auxxtt + bux4 - duxxt = f(u)xx
are proved, and the sufficient conditions of blow-up of the solutions for the Cauchy problems in finite time are given. 相似文献
utt - uxx - auxxtt + bux4 - duxxt = f(u)xx
are proved, and the sufficient conditions of blow-up of the solutions for the Cauchy problems in finite time are given. 相似文献
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1IntroductionInthepresentpaper,weconsidertheuniquenessofsolutionforthetransportationsystemwithinitialdatawherepanduaredensityandvelocityrespectively.Thesystemofcollservationlaws(1.l)describesthefluidmechanicswithconstantpressure,whichisusedinplasmaphysicswhosepressureisassumedtobeconstant.TheCauchyproblemforthissystemisnotwell-posedintheclassofboundedmeasurablefunctions(see[31).In[8],Z.Wang,F.HuangandX.DinghaveprovedtheealstenceofsolutionsdefinedbyLebesgue--Stieltjesintegral.Beforedetaildi… 相似文献
11.
SOURCE-TYPE SOLUTIONS OF A QUASILINEAR DEGENERATE PARABOLIC EQUATION WITH ABSORPTION 总被引:1,自引:1,他引:1
Zhao Junning 《数学年刊B辑(英文版)》1994,15(1):89-104
SOURCE-TYPE SOLUTIONS OF A QUASILINEAR DEGENERATE PARABOLIC EQUATION WITH ABSORPTION¥ZHAOJUNNINGAbstract:Theexistenceandnonex... 相似文献
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WangLiping 《偏微分方程(英文版)》2005,18(1):81-96
In the present paper, the existence of solutions to Cauchy problem for modified Landau-Lifshitz Model initiated by Augusto Visintin is studied. 相似文献
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ON THE CAUCHY PROBLEM OF TRANSPORTATION EQUATIONS 总被引:1,自引:0,他引:1
1.IntroductionInthepreselltpaper,weconsiderthetransportationsystemwithinitialdatawherepanduaredensityandvelocityrespectively.Thesystemofconservationlaws(1.1)describesthefluidmechanicswithconstalltpressuxe,whichisusedinplasmaphysicswherepressureisassumedtobeaconstant.Thissystemisnon--strictlyhyperbolicwithadoubleeigenvalueAl~AZ=albothAl,AZbeinglinearlydegenerate.AndtheCauchyproblemforthissystemisnotwell-posedintheclassofmeasurableandboundedfunctions(see[3]).Inthepresentpaper,weintroduceanew… 相似文献
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本文考虑了具有形式n的弱偶合双曲守恒方程组广义解的存在性问题.极大值原理导出了粘性解L∞模先验估计,关于单个守恒律简化的补偿列紧方法给出了粘性解的收敛性,即广义解的存在性. 相似文献
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范进军 《Annals of Differential Equations》2004,20(1):21-29
In this paper, by using Lyapunov function and weak noncompactness conditions, we give an existence theorem of generalized weakly solutions of Cauchy problem of differential equations in product spaces. 相似文献
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证券估值Black-Scholes模型的一般化(英文) 总被引:4,自引:0,他引:4
本文研究证券估值Black-Scholes 模型的一般化.一般化模型推导偏微分方程,然后用分离变量法考虑抛物型方程的Cauchy 问题 相似文献
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Si-mingHuang 《计算数学(英文版)》2005,23(1):93-100
We study the behavior of some polynomial interior-point algorithms for solving random linear programming (LP) problems. We show that the expected and anticipated number of iterations of theseTodd‘s probabilisticalgorithms is bounded above by O(n^1.5). The random LP problem is model with the Cauchy distribution. 相似文献
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In this paper, we consider the Cauchy problem for multidimensional elliptic equations in a cylindrical domain. The method of spectral expansion in eigenfunctions of the Cauchy problem for equations with deviating argument establishes a criterion of the strong solvability of the considered elliptic Cauchy problem. It is shown that the ill-posedness of the elliptic Cauchy problem is equivalent to the existence of an isolated point of the continuous spectrum for a self-adjoint operator with deviating argument. 相似文献
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GLOBAL EXISTENCE OF WEAKLY DISCONTIN UOUS SOLUTIONS TO THE CAUCHY PROBLEM WITH A KIND OF NON-SMOOTH INITIAL DATA FOR QUASILINEAR HYPERBOLIC SYSTEMS 总被引:4,自引:0,他引:4 下载免费PDF全文
The authors consider the Cauchy problem with a kind of non-smooth initial datafor quasilinear hyperbolic systems and obtain a necessary and sufficient condition toguarantee the existence and uniqueness of global weakly discontinuous solution. 相似文献