On Tuesday [translate] aThe solution to the heat equation is found by exponentiating the 对热等式的解答是通过exponentiating找到的 [translate] 英语翻译 日语翻译 韩语翻译 德语翻译 法语翻译 俄语翻译 阿拉伯语翻译 西班牙语翻译 葡萄牙语翻译 意大利语翻译 荷兰语翻译 瑞典语翻译 希腊语翻译 51La ...
We consider the stochastic heat equation driven by a Rosenblatt sheet and we study the limit behavior in distribution of the spatial average of the solution. By analyzing the cumulants of the solution, we prove that the spatial average converges weakly, in the space of continuous functions, to ...
the definition of E{s)). Another difficulty we encounter is the lack of results for the corresponding steady state problem. It is well known that in order to study the asymptotic behavior for the solution of an evolution equation, one ...
We consider the solution to the stochastic heat equation driven by the time-space white noise and study the asymptotic behavior of its spatial quadratic variations with "moving time", meaning that the time variable is not fixed and its values are allowed to be very big or very small. We inv...
lower bound on the blow-up time for solutions to the heat equation subject to a nonlinear boundary condition when blow-up of the solution does occur. ... LE Payne,PW Schaefer - 《Proceedings of the Royal Society of Edinburgh》 被引量: 122发表: 2009年 The blow-up properties of solutions...
Wimp, “The construction of solutions to the heat equation backward in time,” Math. Methods Appl. Sci.,1, No. 1, 32–39 (1979). Google Scholar P. Craven and G. Wahba, “Smoothing noisy data with spline functions. Estimating the correct degree of smoothing by the method of ...
In this paper we derive the heat equation and consider the flow of heat along a metal rod. The rod allows us to consider the temperature, u(x,t), as one dimensional in x but changing in time, t.Kwach, Boniface OOmoloOngatiAlambo, David O...
摘要: The application of group theory to the solution of partial differential equations was first considered by Lie [1] and later by Ovsjannikov [2] and Matschat and Müller [3]. If a one-parameter group of transformations leaves invariant an equation and its accompanying...
The purpose of this paper is to provide the transient solution to the one-dimensional heat conduction equation with internal heat generation that describes the transfer and generation of heat throughout a thermoelectric device. The solution proposed can be included in a model in which the Peltier ...
The solution must satisfy boundary conditions at z = H and z = −B. As usual for the heat equation, the solution decays exponentially in time and is (roughly) sinusoidal in space. The conditions at z = 0 correspond to continuity of the solution and of the heat flux, and this ...