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The International N5 Symposium ‘Neural Networks and Nonlinearity in Nizhny Novgorod’ was held at the Nizhny Novgorod House of Scientists from September 23 to 26. The event was organised by HSE University–Nizhny Novgorod and the Nizhny Novgorod House of Scientists, with the participation of Sberbank and the Institute of Physics Belgrade. The symposium was held for the second time: the first conference took place in 2025 and attracted considerable interest from the academic community.
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Model of heat transfer in the cone-shaped nanocathode

P. 204–209.
R.K. Gaydukov, V.Yu. Rudnev
Language: English
Keywords: heat transferсистема фазового поляphase field systemавтоэлектронная эмиссиятеплопереносfield emission

In book

Фундаментальные проблемы радиоэлектронного приборостроения / Материалы Международной научно-технической конференции «INTERMATIC–2013», 2–6 декабря 2013 г., Москва
Ч. 4: Информационные технологии и телекоммуникации. , М.: Энергоатомиздат, 2013.
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The spreading of a droplet of incompressible fluid over a substrate under the action of capillary forces and gravity is studied within a phase-field framework. An asymptotic analysis shows that the solution of the phase-field system (regularized problem) converges to the solution of the corresponding limiting problem when a regularization parameter tends to zero. The ...
Added: April 11, 2026
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In this article, we propose a numerical method for calculating solutions of the PDE (the heat equation for the cathode temperature and the continuity equation for the current density inside and outside the cathode) with discontinuous flux at the emission surface of a cathode placed in a vacuum. The discontinuity of the flux appears because ...
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Ballistic thermoelasticity of nonlinear chains under thermal shock
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A thermal diode or rectifier is a system that transmits heat or energy in one direction better than in the opposite direction. We investigate the influence of the distribution of energy among wave numbers on the diode effect for the junction of two dissimilar harmonic chains. An analytical expression for the diode coefficient, characterizing the difference between heat ...
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This paper presents the results of mathematical modeling of heat transfer in the field emission process in a conic cathode of small dimensions with its possible melting considered. It is shown that the possibility of melting is determined by the cathode vertex angle. The melting is modeled in the framework of the phase field system ...
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A new mathematical model of heat transfer in silicon field emission pointed cathode of small dimensions is constructed which permits taking its partial melting into account. This mathematical model is based on the phase field system, i.e., on a contemporary generalization of Stefan-type problems. The approach used by the authors is not purely mathematical but ...
Added: September 23, 2014
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