On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions

CWK Lo, JF Rodrigues - arXiv preprint arXiv:2201.07827, 2022 - arxiv.org
In this work, we consider the fractional Stefan-type problem in a Lipschitz bounded domain
$\Omega\subset\mathbb {R}^ d $ with time-dependent Dirichlet boundary condition for the …

Numerical study of the melting process of spherical phase change material with variable thermal conductivity

T Singla, B Kumar, S Sharma - Indian Journal of Physics, 2024 - Springer
This paper addresses the melting of phase change solid sphere, which motivates
researchers to develop new thermal energy storage (TES) systems techniques. Phase …

On a Space Fractional Stefan problem of Dirichlet type with Caputo flux

SD Roscani, K Ryszewska, LD Venturato - arXiv preprint arXiv …, 2023 - arxiv.org
We study a space-fractional Stefan problem with the Dirichlet boundary conditions. It is a
model that describes superdiffusive phenomena. Our main result is the existence of the …

[PDF][PDF] Nonlocal anisotropic problems with fractional type derivatives

C Lo - 2022 - repositorio.ul.pt
A (x) Dsu· Dsv dx,∀ u, v∈ Hs 0 (Ω) defined with the distributional Riesz fractional gradient
Ds for a bounded, coercive and measurable matrix A. These operators provide an extension …

[PDF][PDF] Estudio de soluciones a problemas de tipo Stefan asociados a procesos de difusión anómala y aleaciones binarias

L Venturato - 2023 - rephip.unr.edu.ar
En esta tesis se estudian dos clases de problemas de Stefan. En la primera parte se aborda
un problema asociado a aleaciones binarias, obteniendo soluciones explıcitas de tipo …