Results 21 to 30 of about 3,000,291 (292)
Convergence of the ‘relativistic’ heat equation to the heat equation as $c\to\infty$ [PDF]
Publicacions Matemàtiques, 2007 We prove that the entropy solutions of the so-called relativistic heat equation converge to solutions of the heat equation as the speed of light $L ^1(\mathbb{R}^N)\cap L^\infty(\mathbb{R}^N) $u _0 \geq 0.
openaire +2 more sources
Lack of controllability of the heat equation with memory [PDF]
, 2012 We consider a model for the heat equation with memory, which has infinite propagation speed, like the standard heat equation. We prove that, in spite of this, for every T > 0 there exist square integrable initial data which cannot be steered to hit zero ...
Andrei Halanay, Pandolfi, Luciano
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MULTI-TERM TIME-FRACTIONAL DERIVATIVE HEAT EQUATION FOR ONE-DIMENSIONAL DUNKL OPERATOR
Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper, we investigate the well-posedness for Cauchy problem for multi-term time-fractional heat equation associated with Dunkl operator. The equation under consideration includes a linear combination of Caputo derivatives in time with decreasing ...
D. Serikbaev
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Experimental determination of natural convection heat transfer coefficients in an attic shaped enclosure [PDF]
, 2010 Heat transfer by natural convection in triangular enclosures is an area of significant importance in applications such as the design of greenhouses, attics and solar water heaters.
Carson, James K. +5 more
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On the projection method for solving the heat equation with lumped heat capacity [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThis paper presents some results of the possibility of using the least squares projection method for solving heat equations with concentrated heat capacity on a half-line.
Seregina, Elena V. +1 more
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On a time-optimal control problem for a heat conduction equation with involution [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаIn this paper, we consider a boundary control problem for a heat conduction equation with involution in a bounded one-dimensional domain. The solution with the control function on the border of the rod is given.
Dekhkonov, Farrukh N.
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Advanced Nonlinear Studies, 2020 In this paper, we study global well-posedness and long-time asymptotic behavior of solutions to the nonlinear heat equation with absorption, ut-Δu+|u|αu=0{u_{t}-\Delta u+\lvert u\rvert^{\alpha}u=0}, where u=u(t,x)∈ℝ{u=u(t,x)\in\mathbb{R}}, (t,x)∈(0,∞)×
Mouajria Hattab +2 more
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Time-decoupled high order continuous space-time finite element schemes for the heat equation [PDF]
, 2014 Copyright © by SIAMIn Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 6685—6708 Werder et al. demonstrated that time discretizations of the heat equation by a temporally discontinuous Galerkin finite element method could be decoupled by diagonalising
Kruse, C, Shaw, S
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, 2022 The Heat Equation is a partial differential equation that describes the distribution of heat over a period of time. The heat equation is important in many fields of Mathematics.
Xu, Ethan
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Refrigerant forced-convection condensation inside horizontal tubes [PDF]
, 1968 High vapor velocity condensation inside a tube was studied theoretically. The heat transfer coefficients were calculated by the momentum and heat transfer analogy.
Bae, S. +8 more
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