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Author Cardaliaguet, Pierre ♦ Ley, Olivier ♦ Monteillet, Aurélien
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Polymer Crystal Growth Model ♦ Viscosity Solution ♦ Nonlocal Velocity ♦ New Regularity Result ♦ Proof Relies ♦ Heat Equation ♦ Eikonal Equation ♦ Lder Bound ♦ Regularity Assumption ♦ Priori Regularity
Abstract Abstract. We prove existence of a solution for a polymer crystal growth model describing the movement of a front (Γ(t)) evolving with a nonlocal velocity. In this model the nonlocal velocity is linked to the solution of a heat equation with source δΓ. The proof relies on new regularity results for the eikonal equation, in which the velocity is positive but merely measurable in time and with Hölder bounds in space. From this result, we deduce a priori regularity for the front. On the other hand, under this regularity assumption,
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 2010-01-01