【摘 要】
：
In this article,we study the initial boundary value problem of generalized Pochhammer-Chree equation Utt-Uxx-Uxxt-Uxxtt=f(U)xx,x∈Ω,t>0,u(x,0)=U0(x),Ut(x,o)=u1
【机 构】
：
College of Science
【基金项目】
：
国家自然科学基金;Foundational Science Foundation of Harbin Engineering University;Science and Technology Foundation of Education Office of Heilongjiang Province;黑龙江省自然科学基金
论文部分内容阅读
In this article,we study the initial boundary value problem of generalized Pochhammer-Chree equation Utt-Uxx-Uxxt-Uxxtt=f(U)xx,x∈Ω,t>0,u(x,0)=U0(x),Ut(x,o)=u1(x),x∈Ω,u(o,t)=u(1,t)=0,t≥0,where Ω =(0,1).First,we obtain the existence of local Wk,p solutions.Then,we prove that,if f(s)∈ Ck+1(R)is nondecreasing,f(0)= 0 and |f(u)| ≤ C1|u|∫u0f(s)ds+C2,u0(x),u1(x)∈ Wk,p(Ω)∩ W10,p(Ω),k ≥ 1,1 0 the problem admits a unique solution u(x,t)∈ W2,∞(0,T; Wk,p(Ω)∩ W10,p(Ω)).Finally,the finite time blow-up of solutions and global Wk,p solution of generalized IMBq equations are discussed.
其他文献
We consider variations of the classical jeep problems: the optimal logistics for a caravan of jeeps which travel together in the desert. The main purpose is to
Three-dimensional numerical simulations and experiments were carried out to study the heat transfer characteristics and the pressure drop of air flow in a circu
One-dimensional nanostructured materials are often used as beams in many applications such as ultrahigh-frequency resonators and ultrasensitive sensors.Compared
Density functional calculations have been used to study the mechanism of 1-phenyl-1-(3-pyridyl)ethene hydroformylation using rhodium catalyst. Our calculations
Well-defined branched ZnO nanorods were fabricated on various substrates by a facile wet-chemistry route using a chemical bath deposition method at relatively l
In this paper,the disturbance propagation and active vibration control of a finite L-shaped beam are studied.The dynamic response of the structure is obtained b
乔治·萨顿经历了孤独而自由的童年和少年生活,根特大学的求学经历使他立志投身科学史研究,追求以实证主义为主导的综合科学史来嫁接科学和人文。从比利时辗转英国再到美国,
NF3 decomposition in the absence of water over Al2O3, Fe2O3, CO3O4 and NiO, and transition metal oxides (Fe2O3, CO3O4 and NiO) coated Al2O3 reagents was investi
A simple and efficient procedure for the synthesis of 2-arylquinazolin-4(3H)-ones has been developed through cyclocondensation of 2-aminobenzamide with aromatic
This article investigates the convergence and growth of multiple Dirichlet series.The Valiron formula of Dirichlet series is extended to n-tuple Dirichlet serie