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Explicit solutions for a non-classical heat conduction problem for a semi-infinite strip with a non-uniform heat source
(Springer, 2015-12)
A non-classical initial and boundary value problem for a non-homogeneous one-dimensional heat equation for a semi-infinite material with a zero temperature boundary condition is studied. It is not a standard heat conduction ...
Solving heat conduction problems with phase-change under the heat source term approach and the element-free Galerkin formulation
(Pergamon-Elsevier Science Ltd, 2019-07)
The present work has been conducted in order to introduce an alternative solution for heat transfer problems with phase-change and moving boundaries, via the element-free Galerkin (EFG) method. In this novel approach, the ...
Improved lumped model for thermal analysis of high burn-up nuclear fuel rods
(ElsevierBrasilNúcleo Interdisciplinar de Dinâmica dos Fluidos, 2019)
Two-phase Stefan problem with nonlinear thermal coefficients and a convective boundary condition
(Pergamon-Elsevier Science Ltd, 2021-04)
A solidification process for a semi-infinite material is presented through a non-linear two-phase unidimensional Stefan problem, where a convective boundary condition is imposed at the fixed face x=0. The volumetric heat ...
Uso da Transformada de Kirchhoff e Funções de Green para solução analítica de problemas inversos não lineares em condução de calorUse of Kirchhoff's Transform and Green's Functions for analytical solution of nonlinear inverse heat conduction problems
(Universidade Federal de UberlândiaBrasilPrograma de Pós-graduação em Engenharia Mecânica, 2020)
Nonlinear size effects of hot electrons in semiconductor thin filmsNonlinear size effects of hot electrons in semiconductor thin films
(Revista Mexicana de Física, 2009)
One-Dimensional Nonlinear Stefan Problems in Storm's Materials
(MDPI, 2014-01)
We consider two one-phase nonlinear one-dimensional Stefan problems for a semi-infinite material x > 0; with phase change temperature Tf : We assume that the heat capacity and the thermal conductivity satisfy a Storm’s ...
Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results
(Juliusz Schauder Center for Nonlinear StudiesTorun, 2015)
In this work we study several questions concerning to abstract fractional Cauchy problems of order 'alfa' 'PERTENCE A' (0; 1). Concretely, we analyze the existence of local mild solutions for the problem, and its possible ...
Existence and uniqueness of solution for two one-phase Stefan problems with variable thermal coefficients
(Pergamon-Elsevier Science Ltd, 2019-08)
One dimensional Stefan problems for a semi-infinite material with temperature dependent thermal coefficients are considered. Existence and uniqueness of solution are obtained imposing a Dirichlet, a Neumann or a Robin type ...
A nonlinear heat equation with temperature-dependent parameters
(BrasilInstituto Tércio Pacitti de Aplicações e Pesquisas Computacionais, 2017)