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The well-posedness of the problem of linear thermoelasticity in the Ginzburg–Landau theory of phase transitions is proved. 相似文献
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I. Yu. Khasanov I. A. Kaliev M. F. Mugafarov G. S. Sabitova N. Kh. Faizullin G. I. Khasanova 《Journal of Applied Mechanics and Technical Physics》2008,49(4):610-613
The separation of a viscous fluid flow by means of a device operating on the centrifugal principle was modeled. Parameters
of the device with a specified separation size were obtained in a series of numerical experiments.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 4, pp. 108–112, July–August, 2008. 相似文献
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The existence and uniqueness of a generalized solution are proved for the third boundary value problem for a system of differential equations in the linear thermoelasticity theory. The displacement vector and temperature of the medium are the sought functions. The existence of a solution is proved, using the contraction mapping principle. In obtaining some necessary a priori estimates, the expansion of the solution was used in a series of generalized eigenfunctions of the Laplace operator. 相似文献
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We establish extremal properties of regular and weak solutions to the Tricomi problem for a system of mixed-type equations. Using a Schwartz-type alternation method, we prove unique weak solvability of the Tricomi problem under some constraints on coefficients. 相似文献
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