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1.
Inreference [1 ] ,wediscussedtheinstabilityofNavier_StokesequationonR3×R ,and ,intheillustrationofit,wepresentedsomeexamplesintheformofexactsolution .Thebasisoftheconstructionofthemisthe“equationsecondaire”oftheequation .Infact,theseexactsolutionsaresomelimit… 相似文献
2.
By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result on the global existence and the blowup phenomena of classical solutions of these systems. These results show that the dissipation is strong enough to preserve the smoothness of ‘ small ‘ solution. 相似文献
3.
1 IntroductionandHypothesesInrecentyears,withthedevelopmentofnonlinearsciencesandthedeepstudyofchaoticphenomena,thebifurcationproblemsofhomoclinicloopsforhigherdimensionalsystemswerestudiedextensivelyandalotofresultswereobtained (seeRefs.[1~ 8] ) .Especially ,Refs.[3 ,4]discussedthehomoclinicloopbifurcationswithcodimension 2 .Refs.[5,6]consideredthedegeneratedhomoclinicbifurcations.Inthispaper,westudythebifurcationsoftwistedhomoclinicloopsandthestabilityinhigherdimensionalspace .Considerth… 相似文献
4.
IntroductionWeconsidertheextendedlinearcomplementarityproblem (XLCP)introducedbyMangasarianandPang[1](alsoseeYe[2 ]) :Findavector(x ,y) ∈R2nsuchthatMx-Ny∈K ,xTy=0 , x≥ 0 ,y≥ 0 ,( 1 )whereM ,N ∈Rm×naregiven ,andKisapolyhedralsetinRmdefinedbyK :=u∈Rm|Gu≥g , G∈Rl×m,g∈Rl.Thispro… 相似文献
5.
The mixed finite element(MFE) methods for a shallow water equation systemconsisting of water dynamics equations, silt transport equation, and the equation of bottomtopography change were derived. A fully discrete MFE scheme for the discrete-time alongcharacteristics is presented and error estimates are established. The existence andconvergence of MFE solution of the discrete current velocity, elevation of the bottomtopography, thickness of fluid column, and mass rate of sediment is demonstrated. 相似文献
6.
For the generalized inverse function-valued Padé approximants, its intact computation formulas are given. The explicit determinantal
formulas for the denominator scalar polynomials and the numerator function-valued polynomials are first established. A useful
existence condition is given by means of determinant form.
Foundation item: the National Natural Science Foundation of China (19871054)
Biography: Gu Chuan-qing (1955-), Professor, Doctor Director 相似文献
7.
A class of nonlinear boundary value problems (BVP) for the second-order E2 class elliptic systems in general form is discussed. By introducing a kind of transformation, this kind of BVP is reduced
to a class of generalized nonlinear Riemann-Hilbert BVP. And then some singular integral operators are introduced to establish
the equivalent nonlinear singular integral equations. The solvability is proved under some suitable hypotheses by means of
the properties of singular integral operators and the function theoretic methods.
Foundation items: the National Natural Science Foundation of China (19671056); Shanghai Municipal Natural Scientific Foundation (99ZA14030,
01ZA14023); Jiangxi Provincial Natural Scientific Foundation (981102, 0211014)
Biographies: LI Ming-zhong (1935−); XU Ding-hua (1967−) 相似文献
8.
Ding Xie-ping 《应用数学和力学(英文版)》2003,24(9):1017-1024
By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem
and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex
spaces. These theorems improve and generalize many important known results in literature.
Contributed by Duping Xie-ping
Foundation items: the National Natural Science Foundation of China (19871059); the Natural Science Foundation of Education Department of Sichuan
Province ([2000]25)
Biography: Duping Xie-ping (1938∼), Professor (E-mail: dingxip@sichu.edu.cn) 相似文献
9.
The solvability of the Euler equations about incompressible inviscid fluid based on the stratification theory is discussed.
And the conditions for the existence of formal solutions and the methods are presented for calculating all kinds of ill-posed
initial value problems. Two examples are given as the evidences that the initial problems at the hyper surface does not exist
any unique solution.
Foundation item: the National Natural Science Foundation of China (19971054)
Biography: Shen Zhen (1977−) 相似文献
10.
Ding Xie-ping 《应用数学和力学(英文版)》2003,24(6):659-672
A new family of set-valued mappings from a topological space into generalized convex spaces was introduced and studied. By
using the continuous partition of unity theorem and Brouwer fixed point theorem, several existence theorems of maximal elements
for the family of set-valued mappings were proved under noncompact setting of product generalized convex spaces. These theorems
improve, unify and generalize many important results in recent literature.
Contributed by DING Xie-ping
Foundation items: the National Natural Science Foundation of China (19871059); the Natural Science Foundation of Education Department of Sichuan
Province of China ([2000]25)
Biography: DING Xie-ping (1938∼) 相似文献
11.
Based on modern differential geometry, the symplectic structure of a Birkhoffian system which is an extension of conservative and nonconservative systems is analyzed. An integral invariant of Poincaré-Cartan’s type is constructed for Birkhoffian systems. Finally, one-dimensional damped vibration is taken as an illustrative example and an integral invariant of Poincaré’s type is found. 相似文献
12.
The inverse problem for a class of nonlinear evolution equations of dispersive type was reduced to Cauchy problem of nonlinear
evolution equation in an abstract space. By means of the semigroup method and equipping equivalent norm technique, the existence
and uniqueness theorem of global solution was obtained for this class of abstract evolution equations, and was applied to
the inverse problem discussed here. The existence and uniqueness theorem of global solution was given for this class of nonlinear
evolution equations of dispersive type. The results extend and generalize essentially the related results of the existence
and uniqueness of local solution presented by YUAN Zhong-xin.
Contributed by Chen Yu-shu
Foundation item: the National Natural Science Foundation of China (Significance 199990510); the National Key Basic Research Special Foundation
of China (G1998020316); Liuhui Center for Applied Mathematics, Nankai University & Tianjin University
Biography: Chen Fang-qi (1963-) 相似文献
13.
Ding Xie-ping 《应用数学和力学(英文版)》2003,24(5):499-508
A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear
structure are introduced and studied. By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued
mappings with closed acyclic values and a maximum theorem, several existence theorems of weighted Nath-equilibria and Pareto
equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces. These theorems improve,
unify and generalize the corresponding results of the multiobjective games in recent literatures.
Contributed by Ding Xie-ping
Foundation items: the National Natural Science Foundation of China (19871059); the Natural Science Foundation of Education Department of Sichuan
Province ([2000]25)
Biography: Ding Xie-ping (1938-) 相似文献
14.
The criterion for the points in the parameter space being on the stability boundary of linear Hamiltonian system depending
on arbitrary numbers of parameters was given, through the sensitivity analysis of eigenvalues and eigenvectors. The results
show that multiple eigenvalues with Jordan chain take a very important role in the stability of Hamiltonian systems.
Foundation item: the National Natural Science Foundation of China (10072012); the National Natural Science Foundation of Russia
Biography: QI Zhao-hui (1964-) 相似文献
15.
The controllability for switched linear systems with time-delay in controls is first investigated. The whole work contains
three parts. This is the second part. The definition and determination of controllability of switched linear systems with
single time-delay in control functions is mainly investigated. The sufficient and necessary conditions for the oneperiodic,
multiple-periodic controllability of periodic-type systems and controllability of periodic systems are presented, respectively.
Contributed by YE Qing-kai
Foundation items: the National Natural Science Foundation of China (69925307, 60274001); the National Key Basic Research and Development Program
(2002CB312200); the Postdoctoral Program Foundation of China
Biography: XIE Guang-ming (1972 ∼), Doctor (E-mail: xiegming@mech.pku.edu.cn) 相似文献
16.
A kind of 2-dimensional neural network model with delay is considered. By analyzing the distribution of the roots of the characteristic
equation associated with the model, a bifurcation diagram was drawn in an appropriate parameter plane. It is found that a
line is a pitchfork bifurcation curve. Further more, the stability of each fixed point and existence of Hopf bifurcation were
obtained. Finally, the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions were determined
by using the normal form method and centre manifold theory.
Foundation item: the National Natural Science, Foundation of China (19831030)
Biography: WEI Jun-jie, Professor, Doctor, E-mail: weijj@hit.edu.cn 相似文献
17.
The conditions for determining solution of buckling eigenvalue problem are discussed. The corresponding system of integral
equations with constraint conditions and boundary variational equations with Lagrange multiplier are established. The theorems
on the existence and uniqueness of the solution for these problems are given. The corresponding boundary element method is
constructed and the error estimation for the approximation solution is obtained. Finally the numerical example is given.
Foundation item: the National Natural Science Foundation Pre-research Project (T4107015)
Biography: Ding Rui (1969-) 相似文献
18.
Shen Zhen 《应用数学和力学(英文版)》2003,24(5):545-554
The ill posed initial value problem of the Euler equations and the formal solvability of ill posed problem based on stratification
theory are discussed. For some ill posed initial value problems, the existence conditions of formal solutions and the methods
of how to construct a formal solution are given. Finally, an example is given to discuss the ill posedness of the initial
value problem on hyper plane {t=0} in R4, and explain that the problem has more than one solution.
Foundation item: the National Natural Science Foundation of China (19971054)
Biography: Shen Zhen (1977−) 相似文献
19.
Noether’stheoremrevealstheinnerconnectionbetweentheconservationlawsandthedynamicalsymmetryofdynamicalsystems.Intherecenttwent... 相似文献
20.
An impulsive control scheme of the Lur‘e system and several theorems on stability of impulsive control systems was presented, these theorems were then used to find the conditions under which the Lur‘e system can be stabilized by using impulsive control with varying impulsive intervals. The parameters of Lur‘e system and impulsive control law are given, a theory of impulsive synchronization of two Lur‘e system is also presented. A numerical example is used to verify the theoretical result. 相似文献