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 ...
Under suitable conditions on f and u, we obtain a unique solution. Note that for q = 0, we have the triharmonic heat equation ∂/∂t u(x, t) - c² Δ³u(x, t) = 0 .SATSANITDepartment of MathematicsWANCHAKDepartment of MathematicsElectronic Journal of Differential Equations...
the heat equation ut = Am with the nonlinear boundary condition un = up on dil x [0, T). Under certain assumptions, the exact rate of the blowup is es- tablished. It is also proved that the blowup will not occur in the interior of the domain. The asymptotic behavior near the ...
百度试题 结果1 题目五、Determine the solution of the heat equationWith the boundary conditionsWith an initial distribution相关知识点: 试题来源: 解析 解:令 令 则 解得, 其中, 由三角函数正交性,得 可得,反馈 收藏
We give an approximate solution of the heat-transfer equation for equilibrium turbulent boundary layers for which the velocity distribution and the coefficient of turbulent viscosity can be described by functions of two parameters. In [1–4] equilibrium turbulent boundary layers characterized by a ...
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...
a r X i v : 0 7 1 0 . 1 3 1 4 v 1 [ p h y s i c s . g e o - p h ] 5 O c t 2 0 0 7 AN EXACT SOLUTION TO THE TEMPERATURE EQUATION IN A COLUMN OF ICE AND BEDROCK ED BUELER 1. The problem The goal here is fairly straightforward. We want a solution of a ...
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 ...
Bounds for blow-up time for the heat equation under nonlinear boundary conditions A differential inequality technique is used to determine a lower bound on the blow-up time for solutions to the heat equation subject to a nonlinear bounda... LE Payne,PW Schaefer - 《Proceedings of the Royal ...
The regularity of the solution of the Cauchy-Dirichlet problem for the heat equation in a nonrectangular plane domain is studied in the case where the right-hand side of the equation is defined in an anisotropic Sobolev space. When certain conditions on the domain boundary are given, the best...