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121.
宋长明 《应用数学和力学(英文版)》2006,27(7):975-981
Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping. Nonexitence theorems of global solutions to the above problem are proved by the energy method, Jensen inequality and the concavity method, respectively. As applications of our main results, three examples are given. 相似文献
122.
CAUCHY PROBLEM OF ONE TYPE OF ATMOSPHERE EVOLUTION EQUATIONS 总被引:1,自引:0,他引:1
One type of evolution atmosphere equations was discussed. It is found that according to the stratification theory, (i) the inertial force has no influence on the criterion of the well-posed Cauchy problem; (ii) the compressibility plays no role on the well-posed condition of the Cauchy problem of the viscid atmosphere equations, but changes the well-posed condition of the viscid atmosphere equations; (iii) this type of atmosphere evolution equations is ill-posed on the hyperplane t = 0 in spite of its compressibility and viscosity; (iv) the Cauchy problem of compressible viscosity atmosphere with still initial motion is ill-posed. 相似文献
123.
EXPONENTIAL ATTRACTOR FOR THE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING TERM 总被引:1,自引:0,他引:1
IntroductionAsymmetricversionofregularizedlongwaveSRLWequationsuxxt-ut =ρx uux, ( 1 )ρt ux =0 ( 2 )havebeenproposedasamodelforpropagationofweaklynonlinearionacousticandspace_chargewaves[1].Thehyperbolicsecantsquaredsolitarywavesolutions,thefourinvariantsandsomenumericalresultshavebeenobtainedinRef.[1 ] .Obviously ,eliminatingρfromEqs.( 1 )and( 2 ) ,wegetasymmetricregularizedlongwaveequation (SRLWE)utt-uxx 12 (u2 ) xt-uxxtt =0 . ( 3 )TheSRLWequation ( 3 )isexplicitlysymmetricinthexand… 相似文献
124.
IntroductionConsidertheperiodicboundaryvalueproblemoftheordinarydifferentialequationsLu≡u″(t) +gradG(u) =p(t) ,u( 0 ) =u( 2π) ,u′( 0 ) =u′( 2π) ,( 1 )wherep∈C(R ,Rn) ,G ∈C2 (Rn,R) .TheequationmaybeinterpretedastheNewtonianequationofmotionofthemechanicalsystemsubjecttoconservati… 相似文献
125.
IntroductionForcomputationoftheviscouscompressibleflowstheNavier_Stokesequationsaregenerallyrepresentedintheconservationlawformasahyperbolicsystem .Lackingthemathematicaltooltoanalyzethisnonlinearsystem ,thenumericalmethodsusedinsolvingthenonlinearhype… 相似文献
126.
Experimental investigations have been devoted to the study of scaling law of coarse-grained dissipation rate structure function for velocity and temperature fluctuation of non-isotropic and inhomogeneous turbulent flows at moderate Reynolds number. Much attention has been paid to the case of turbulent boundary layer, which is typically the non-istropic and inhomogeneous trubulence because of the dynamically important existence of organized coherent structure burst process in the near wall region . Longitudinal velocity and temperature have been measured at different vertical positions in turbulent boundary layer over a heated and unheated flat plate in a wind tunnel using hot wire anemometer. The influence of non-isotropy and inhomogeneity and heating the wall on the scaling law of the dissipation rate structure function is studied because of the existence of organized coherent structure burst process in the near wall region . The scaling law of coarse-grained dissipation rate structure function is foun 相似文献
127.
The stability about Navier-Stokes equation and Euler equation was brought into comparison. And by taking their typical initial value problem for example, the reason of leading to the difference in stability between Navier-Stokes equation and Euler equation was also analyzed. 相似文献
128.
ADAPTIVE INTERVAL WAVELET PRECISE INTEGRATION METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS 总被引:2,自引:0,他引:2
IntroductionThepreciseintegrationmethod(PIM) [1],whichwasproposedforsolvingstructuraldynamicequations.Thismethodissimplerandpossesseshigherprecision .Forlinearsteadystructuraldynamicsystems,itsnumericalresultsattheintegrationpointsarealmostequaltothatoftheexactsolutioninmachineaccuracy .InthepreciseintegrationmethodforsolvingPDEs,theequationsshouldbediscretizedinthephysicalspaceforobtainingthesystemofODEsintime ,whichisoftenexecutedbythefinitedifferencemethodorthefiniteelementmethod .Inrec… 相似文献
129.
A NEW MODEL OF SHAPE MEMORY ALLOYS 总被引:1,自引:0,他引:1
A new constitutive model of shape memory alloys ( SMAs) based on Tanaka ' s martensite fraction exponential expression is produced. This new model can present recoverable shape memory strain during different phase transformation, and reflect the action of martensite reorientation . Also it can overcome the defect of Tanaka ' s Model when the SMAs ' microstructure is fully martensite . The model is very simple and suitable for using , and the correct behavior of the model is proved by test. 相似文献
130.
IntroductionandProblemintheResearchofToroidThispaperdealswiththeexistenceof2π_periodicsolutionstothenonlinearsystemoffirst_orderdifferentialequationswithadeviatingargument x(t) =Bx(t) F(x(t-τ) ) p(t) ,( 1 )wherex(t)∈R2 , x(t) =ddtx(t) ,τ∈R ,B∈R2×2 ,F :R2 →R2 isboundedandp∈C(… 相似文献