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961.
In this article, we study some robust control problems associated with the multilayer quasi-geostrophic equations of the ocean and related to data assimilation in oceanography. We consider higher norms (compared to [T. Tachim Medjo, Robust control problems associated with the multilayer quasi-geostrophic equations of the ocean, Appl. Math. Optim. 51(3) (2005) 333–360]) in the definition of the cost functionals. We prove the existence and uniqueness of solutions. The result relies on better a priori estimates on the solutions to the multilayer quasi-geostrophic system obtained using a new formulation that we introduce for the multilayer quasi-geostrophic equation of the ocean. The new formulation replaces the non-homogenous boundary conditions (and the non-local constraint) on the stream-function by a simple homogenous Dirichlet boundary condition. 相似文献
962.
建立了H02(Ω)(0∈ΩR4)中的Hardy不等式,利用临界点理论得到了含位势的非线性双调和方程非平凡解的存在性. 相似文献
963.
P. Balasubramaniam D. Vinayagam 《Journal of Mathematical Analysis and Applications》2005,305(2):438-451
In this paper the existence of mild solutions of a class of semilinear stochastic evolution inclusions with delays in a Hilbert space is studied. The results are obtained by using a fixed point theorem for condensing map due to Martelli. The result is illustrated with an example. 相似文献
964.
965.
Walter Zulehner. 《Mathematics of Computation》2002,71(238):479-505
In this paper two classes of iterative methods for saddle point problems are considered: inexact Uzawa algorithms and a class of methods with symmetric preconditioners. In both cases the iteration matrix can be transformed to a symmetric matrix by block diagonal matrices, a simple but essential observation which allows one to estimate the convergence rate of both classes by studying associated eigenvalue problems. The obtained estimates apply for a wider range of situations and are partially sharper than the known estimates in literature. A few numerical tests are given which confirm the sharpness of the estimates.
966.
We offer an almost self-contained development of Perron–Frobenius type results for the numerical range of an (irreducible) nonnegative matrix, rederiving and completing the previous work of Issos, Nylen and Tam, and Tam and Yang on this topic. We solve the open problem of characterizing nonnegative matrices whose numerical ranges are regular convex polygons with center at the origin. Some related results are obtained and some open problems are also posed. 相似文献
967.
关于随机算子不动点指数的几个定理 总被引:2,自引:1,他引:1
研究了随机半闭1-集压缩算子和随机凝聚算子的随机不动点指数问题,推广了郭大钧文中的几个定理. 相似文献
968.
Xie Ping Ding 《Journal of Mathematical Analysis and Applications》2002,266(1):21-37
Some new generalized G-KKM and generalized S-KKM theorems are proved under the noncompact setting of generalized convex spaces. As applications, some new minimax inequalities, saddle point theorems, a coincidence theorem, and a fixed point theorem are given in generalized convex spaces. These theorems improve and generalize many important known results in recent literature. 相似文献
969.
This paper describes a numerical method for efficiently identifying the regions of fastest mixing of a passive dye in a flow due to a system of point vortices. Results obtained from computations are presented for systems of three and four point vortices, both in the unbounded domain and inside a circular cylinder. The flow is two‐dimensional and the fluid is incompressible. The regions where mixing is possible are found by studying the largest Lagrangian Lyapunov exponent distribution with respect to various initial positions of tracer particles. The regions of fastest mixing are then identified from the Lyapunov exponent distribution at small times. The results of the method are verified by quantifying the mixing by using a traditional box counting technique. The technique is then applied to several different initial configurations of vortices and some interesting results are obtained. Some numerical findings about the nature of the exponents computed are also discussed. Copyright © 2002 John Wiley Sons, Ltd. 相似文献
970.
测度链上非线性m-点边值问题的正解 总被引:1,自引:1,他引:0
设T是一个测度链(时间标架)并且0,T∈T.讨论测度链上m-点边值问题其中a∈Cld((0,T),[0,∞)),f∈C((0,T)X[0,∞),[0,∞)),β,γ∈[0,∞),ξ∈(0,ρ(T)), ai∈[0,∞)(i=1,...,m-2)是一些满足适当条件的定常数.借助于锥上的不动点定理,得到了此问题存在单个及多个正解的一些新的更一般的结果.特别地,我们的结果推广并改进了一些已有的结论. 相似文献