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math.AP2016★ 1 cited
A solution with free boundary for non-Newtonian fluids with Drucker-Prager plasticity criterion
Eleftherios Ntovoris, M Regis
We study a free boundary problem which is motivated by a particular case of the flow of a non-Newtonian fluid, with a pressure depending yield stress given by a Drucker-Prager plas…
math.AP2015★ 3 cited
A rigorous setting for the reinitialization of first order level set equations
Nao Hamamuki, Eleftherios Ntovoris
In this paper we set up a rigorous justification for the reinitialization algorithm. Using the theory of viscosity solutions, we propose a well-posed Hamilton-Jacobi equation with…