共查询到20条相似文献,搜索用时 0 毫秒
1.
Faiz Ahmad Wafaa H. Al-Barakati 《Communications in Nonlinear Science & Numerical Simulation》2009,14(4):1021-1024
The [4/3] Pade approximant for the derivative is modified so that the resulting expression has the required asymptotic behavior. This gives an analytical result which represents the solution of the classical Blasius problem on the whole domain. 相似文献
2.
3.
V. P. Varin 《Computational Mathematics and Mathematical Physics》2014,54(6):1025-1036
The classical Blasius boundary layer problem in its simplest statement consists in finding an initial value for the function satisfying the Blasius ODE on semi-infinite interval such that a certain condition at infinity be satisfied. Despite an apparent simplicity of the problem and more than a century of effort of numerous scientists, this elusive constant is determined at present numerically and not much better than it was done by Töpfer in 1912. Here we find this (Blasius) constant rigorously in closed form as a convergent series of rational numbers. Asymptotic behaviour, and lower and upper bounds for the partial sums of the series are also given. 相似文献
4.
Inventiones mathematicae - 相似文献
5.
We prove that under mild regularity assumptions on the initial data the two-phase classical Stefan problem admits a (unique)
solution that is analytic in space and time. 相似文献
6.
7.
V. I. Dmitriev A A. Kantsel’ E. S. Kurkina N. V. Peskov 《Computational Mathematics and Modeling》2009,20(2):122-143
We present a mathematical model of underground leaching by solutions filtering through a porous medium. The model describes
the motion of solutions from injection to extraction boreholes, as well as dissolution and secondary deposition in reduced-pH
regions. A numerical algorithm has been developed for solving the problem on a plane in the general case of a homogeneous
medium that contains regions with various nonhomogeneities. The algorithm combines triangulation of the region with the finite
element method. The model also allows slow variation over time of some of the process parameters, such as porosity and the
filtration coefficient. Numerical results are reported for various cases. The model qualitatively describes the main regularities
of underground leaching and can be used to study and understand the detailed dynamics of these processes. The model also fills
gaps in geological prospecting data, and extraction curves constructed for different wells can be applied to determine the
approximate location of a particular nonhomogeneity. Mathematical modeling can help to optimize mineral extraction by underground
leaching.
Translated from Prikladnaya Matematika i Informatika, No. 29, pp. 29–55, 2008. 相似文献
8.
Filomena Pacella P.N. Srikanth 《Journal of Mathematical Analysis and Applications》2008,341(1):131-139
In this paper we consider the problem
9.
Y. Liu 《Lithuanian Mathematical Journal》2010,50(2):198-226
This paper is concerned with a nonhomogeneous multipoint boundary-value problem (BVP) of a second-order differential equation with one-dimensional p-Laplacian. Using multiple fixed-point theorems, new sufficient conditions to guarantee the existence of at least three solutions of this BVP are established. An example is presented to illustrate the main results. The first emphasis of this paper is to show that the approach to get three positive solutions of a BVP by using multiple fixed-point theorems can be extended to treat nonhomogeneous BVPs. The second emphasis is put on the nonlinear term f involved with the first-order delta operator. 相似文献
10.
Marvin S. Keener 《Applicable analysis》2013,92(1):57-63
The system Nω=(N-α)ω+y, N= bN+aωωT, N(t)?Rm×m, ω(t)?Rm which originally arose from a model for the pathological behavior of neural networks, is studied. Similar equations can arise in a variety of applications. It is shown that if N(0) is positive definite, then solutions exist for all time. Equilibrium points are determined. N is found to be singular at the equilibrium points, making the analysis of the asymptotic properties of the system non-trivial. The asymptotic behavior when y = 0 is completely described. Some results are proven on the asymptotic behavior of N and ω when y≠0 相似文献
11.
12.
Tejinder S. Neelon 《Proceedings of the American Mathematical Society》1997,125(9):2531-2535
Analyticity of solutions , of systems of real analytic equations , is studied. Sufficient conditions for and power series solutions to be real analytic are given in terms of iterative Jacobian ideals of the analytic ideal generated by . In a special case when the 's are independent of , we prove that if a solution satisfies the condition , then is necessarily real analytic.
13.
We consider a nonlinear eigenvalue problem for the Dirichlet -Laplacian with a sign-changing Carathodory reaction. Using variational tools, truncation and comparison techniques, and critical groups, we prove an existence and multiplicity result which is global in the parameter (bifurcation-type theorem). Our work here complements the recent one by Papageorgiou–Qin–Rădulescu, Bull. Sci. Math. 172 (2021). 相似文献
14.
This paper is concerned with the solvability of an n-point nonhomogeneous boundary value problem. By using the Krasnoselskii's fixed-point theorem in Banach spaces, some sufficient conditions guaranteeing the existence of at least one positive solution are established for the n-point nonhomogeneous boundary value problem. 相似文献
15.
In this paper, we are concerned with the existence of positive solutions to a n-point nonhomogeneous boundary value problem. By using the Krasnoselskii's fixed point theorem in Banach spaces, some sufficient conditions guaranteeing the existence of positive solution is established for the n-point nonhomogeneous boundary value problem. 相似文献
16.
17.
On an analytic generalization of the Busemann-Petty problem 总被引:1,自引:0,他引:1
Songjun Lv 《Journal of Mathematical Analysis and Applications》2008,341(2):1438-1444
In this paper, we establish an extension of the connections between an analytic generalization of the Busemann-Petty problem and the positive definite distributions. Our results show that the structure of the positive definite distributions in Rn is closely related to the analytic generalization of the Busemann-Petty problem which was posed by Koldobsky. 相似文献
18.
M. L. Gorbachuk 《Ukrainian Mathematical Journal》2000,52(5):680-693
We find conditions on a closed operator A in a Banach space that are necessary and sufficient for the existence of solutions of a differential equation y′(t) = Ay(t), t ∈[0,∞),in the classes of entire vector functions with given order of growth and type. We present criteria for the denseness of classes of this sort in the set of all solutions. These criteria enable one to prove the existence of a solution of the Cauchy problem for the equation under consideration in the class of analytic vector functions and to justify the convergence of the approximate method of power series. In the special case where A is a differential operator, the problem of applicability of this method was first formulated by Weierstrass. Conditions under which this method is applicable were found by Kovalevskaya. 相似文献
19.