منابع مشابه
The Fourier Heat Equation in Riemannian Space.
1. Let a certain body, capable of absorbing heat, occupy a region of n dimensional Riemannian space V, whose metric is defined by the positive quadratic differential form ds2 = gjj dxl dxJ. Suppose that this body is heated by conduction in any manner. The situation can be visualized as a flow of heat from the warmer to the cooler parts of the body. The rate of flow of heat within the body can b...
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In this paper the quantum limit of heat transport induced by ultrashort laser pulses is discussed. The new quantum heat transport equation is derived. The relaxation time τ = h̄/mv h (vh = thermal wave velocity) and diffusion coefficient De = h̄/m are calculated.
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We consider an inverse heat conduction problem, the Sideways Heat Equation, which is a model of a problem, where one wants to determine the temperature on both sides of a thick wall, but where one side is inaccessible to measurements. Mathematically it is formulated as a Cauchy problem for the heat equation in a quarter plane, with data given along the line x = 1, where the solution is wanted f...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1946
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1946-0016985-3