Results 21 to 30 of about 1,170,486 (272)
Sets of unique continuation for heat equation [PDF]
, 2014 We study nodal lines of solutions to the heat equations. We are interested in the global geometry of nodal sets, in the whole domain of definition of the solution.
Nadirashvili, Nikolai +1 more
core +2 more sources
Nuclear Engineering and Technology, 2023 Conjugate heat transfer between liquid metal and solid is a common phenomenon in a liquid-metal-cooled fast reactor's fuel assembly and heat exchanger, dramatically affecting the reactor’s safety and economy.
Xian-Wen Li +4 more
doaj +1 more source
Heat conduction in potato cubes: an experiment to estimate thermal diffusivity using arduino [PDF]
Revista Brasileira de Ensino de FísicaThis work presents a low-cost experiment to investigate heat conduction inside potato cubes, using thermistors as a thermometric instrument and Arduino as a data acquisition platform.
V.P.M. de Almeida +2 more
doaj +1 more source
Singular standing-ring solutions of nonlinear partial differential equations
, 2009 We present a general framework for constructing singular solutions of nonlinear evolution equations that become singular on a d-dimensional sphere, where d>1. The asymptotic profile and blowup rate of these solutions are the same as those of solutions of
Bricmont +30 more
core +1 more source
Optimal Control of Heat Equation by Coupling FVM and FEM Codes
MathematicsIn this paper, the optimal control theory is applied to a temperature optimization problem by coupling finite element and finite volume codes. The optimality system is split into the state and adjoint system.
Samuele Baldini +5 more
doaj +1 more source
Energy Science & Engineering, 2023 Based on reasonable simplifications of a two‐dimensional (2D) energy equation, a basic heat transfer equation in 1D form is obtained for the hot crude oil transportation in a long‐buried pipeline.
Qing Yuan +6 more
doaj +1 more source
BOUNDARY CONTROL OF ROD TEMPERATURE FIELD WITH A SELECTED POINT
Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper, we study the issue of boundary control of the temperature field of a rod with a selected point. The main purpose of the work is to clarify the conditions for the existence of a boundary control that ensures the transition of the ...
K. B. Imanberdiyev +3 more
doaj +1 more source
The role and implications of mammalian cellular circadian entrainment
FEBS Letters, EarlyView.At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
wiley +1 more source
Barycentric Rational Collocation Method for Nonlinear Heat Conduction Equation
Journal of Applied Mathematics, 2022 Nonlinear heat equation solved by the barycentric rational collocation method (BRCM) is presented. Direct linearization method and Newton linearization method are presented to transform the nonlinear heat conduction equation into linear equations.
Jin Li
doaj +1 more source
New Stable, Explicit, Shifted-Hopscotch Algorithms for the Heat Equation
Mathematical and Computational Applications, 2021 Our goal was to find more effective numerical algorithms to solve the heat or diffusion equation. We created new five-stage algorithms by shifting the time of the odd cells in the well-known odd-even hopscotch algorithm by a half time step and applied ...
Ádám Nagy +4 more
doaj +1 more source