Results 21 to 30 of about 257,535 (310)
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.
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we consider inverse problems for a fractional heat equation, where the fractional time derivative is taken into account in Riemann-Liouville sense.
A.S. Erdogan +3 more
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Thermal quadrupole method with internal heat sources [PDF]
, 2012 A new method based on the thermal quadrupoles technique for heat transfer modelling in multilayered slabs with heat sources is proposed. Classical thermal quadrupoles use hyperbolic functions and numerical problems occur according to the argument value ...
A. Kusiak +21 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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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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Null controllability of heat equation with switching controls under Robin's boundary condition [PDF]
, 2016 In this paper, we consider the null controllability of 1-d heat equation endowed with Robin's boundary conditions, when the operator - d(2)/dx(2) has positive eigenvalues and try to find sufficient conditions for building switching controls.
Hamidoglu, Ali
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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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Communications on Pure & Applied Analysis, 2022 <p style='text-indent:20px;'>In this paper, we investigate the pointwise time analyticity of three differential equations. They are the biharmonic heat equation, the heat equation with potentials and some nonlinear heat equations with power nonlinearity of order <inline-formula><tex-math id="M1">\begin{document}$ p $\end{document}</
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Global and local existence of solution for fractional heat equation in R N by Balakrishnan definition [PDF]
Mathematica Moravica, 2022 Our aim here is to collect and to compare two definitions of the fractional powers of non-negative operators that can be found in the literature; we will present the proof of an equivalence and compare properties of that notions in different approaches ...
Ferreira Jorge +4 more
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