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991.
Carlos Banquet Lucas C. F. Ferreira Élder J. Villamizar‐Roa 《Mathematical Methods in the Applied Sciences》2017,40(15):5613-5618
We consider a semilinear wave equation with nonlinear damping in the whole space . Local‐in‐time existence and uniqueness results are obtained in the class of Bessel‐potential spaces . Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
992.
Hassan Khosravian‐Arab Mehdi Dehghan M. R. Eslahchi 《Mathematical Methods in the Applied Sciences》2017,40(18):6389-6410
This paper presents 2 new classes of the Bessel functions on a compact domain [0,T] as generalized‐tempered Bessel functions of the first‐ and second‐kind which are denoted by GTBFs‐1 and GTBFs‐2. Two special cases corresponding to the GTBFs‐1 and GTBFs‐2 are considered. We first prove that these functions are as the solutions of 2 linear differential operators and then show that these operators are self‐adjoint on suitable domains. Some interesting properties of these sets of functions such as orthogonality, completeness, fractional derivatives and integrals, recursive relations, asymptotic formulas, and so on are proved in detail. Finally, these functions are performed to approximate some functions and also to solve 3 practical differential equations of fractionalorders. 相似文献
993.
Monotonicity,uniqueness, and stability of traveling waves in a nonlocal reaction‐diffusion system with delay 下载免费PDF全文
Hai‐Qin Zhao 《Mathematical Methods in the Applied Sciences》2017,40(18):6702-6714
The purpose of this paper is to study the traveling wave solutions of a nonlocal reaction‐diffusion system with delay arising from the spread of an epidemic by oral‐faecal transmission. Under monostable and quasimonotone it is well known that the system has a minimal wave speed c* of traveling wave fronts. In this paper, we first prove the monotonicity and uniqueness of traveling waves with speed c ?c ?. Then we show that the traveling wave fronts with speed c >c ? are exponentially asymptotically stable. 相似文献
994.
In this article, a time discretization decoupled scheme for two‐dimensional magnetohydrodynamics equations is proposed. The almost unconditional stability and convergence of this scheme are provided. The optimal error estimates for velocity and magnet are provided, and the optimal error estimate for pressure are deduced as well. Finite element spatial discretization and numerical implementation are considered in our article (Zhang and He, Comput Math Appl 69 (2015), 1390–1406). © 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 956–973, 2017 相似文献
995.
This work studies the inverse problem of reconstructing an initial value function in the degenerate parabolic equation using the final measurement data. Problems of this type have important applications in the field of financial engineering. Being different from other inverse backward parabolic problems, the mathematical model in our article may be allowed to degenerate at some part of boundaries, which may lead to the corresponding boundary conditions missing. The conditional stability of the solution is obtained using the logarithmic convexity method. A finite difference scheme is constructed to solve the direct problem and the corresponding stability and convergence are proved. The Landweber iteration algorithm is applied to the inverse problem and some typical numerical experiments are also performed in the paper. The numerical results show that the proposed method is stable and the unknown initial value is recovered very well.© 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1900–1923, 2017 相似文献
996.
Chao Xia 《Journal of Geometric Analysis》2017,27(3):2131-2154
In this paper, we study the inverse anisotropic curvature flow from strictly convex hypersurfaces. We show the long-time existence and the convergence to the Wulff shape after rescaling, under certain conditions on the general speed functions. 相似文献
997.
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999.
为了对即将建成的PTS装置的实验能力进行分析,对装置的工作模式及波形调节能力进行了分析。装置具有三种工作模式:短脉冲模式、长脉冲模式和波形调节模式。在不同的工作模式下,装置可以进行不同负载的实验研究。在基本工作模式下,在15 nH负载上输出前沿90 ns、幅值8~10 MA脉冲电流。通过电路模拟,对装置在三种工作模式下预计的负载电流输出进行了分析,短脉冲模式下装置负载电流的上升时间约90 ns,长脉冲模式时约200 ns,波形调节模式时可以达到400 ns。模拟结果表明,通过调节激光触发气体开关的触发方式和脉冲输出开关及装置其他参数,PTS装置可以输出脉冲前沿100~400 ns、波形形状在一定范围可调的强电流脉冲。 相似文献
1000.