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Stefan problems for the diffusion-convection equation with temperature-dependent thermal coefficients
(Pergamon-Elsevier Science Ltd, 2021-09)
Different one-phase Stefan problems for a semi-infinite slab are considered, involving a moving phase change material as well as temperature dependent thermal coefficients. Existence of at least one similarity solution is ...
Tricritical behavior in stationary double diffusive convection with cross diffusion
(Revista Mexicana de Física, 2009)
A free boundary problem for a diffusion–convection equation
(Pergamon-Elsevier Science Ltd, 2020-04)
One-dimensional free boundary problem for a nonlinear diffusion - convection equation with a Dirichlet condition at fixed face x=0, variable in time, is considered. Throught several transformations the problem is reduced ...
An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method
(Elsevier Science SA, 2019-03-01)
This paper deals with the a priori error analysis for a convection-dominated diffusion 2D problem, when applying the HDG method on a family of anisotropic triangulations. It is known that in this case, boundary or interior ...
Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue
(2020)
We perform the linear stability analysis of a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and ...
A combined continuous-discontinuous finite element method for convection-diffusion problems
(Latin Amer J Solids StructuresSao PauloBrasil, 2007)