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math.AP2022★ 3 cited
Global Existence for Nonlocal Quasilinear Diffusion Systems in Non-Isotropic Non-Divergence Form
Catharine W. K. Lo, José Francisco Rodrigues
Consider the quasilinear diffusion problem \[\begin{cases}\mathbf{u}'+Π(t,x,\mathbf{u},Σ\mathbf{u})\mathbb{A}\mathbf{u}=\mathbf{f}(t,x,\mathbf{u},Σ\mathbf{u})&\text{ in }]0,T[\time…
math.AP2022★ 4 cited
On an Anisotropic Fractional Stefan-Type Problem with Dirichlet Boundary Conditions
Catharine W. K. Lo, José Francisco Rodrigues
In this work, we consider the fractional Stefan-type problem in a Lipschitz bounded domain with time-dependent Dirichlet boundary condition for the temperatu…