Optimal profiles in a phase-transition model with a saturating flux
DOI10.1016/j.na.2015.05.027zbMath1327.35126OpenAlexW1954100930MaRDI QIDQ495238
Denis Bonheure, Franco Obersnel
Publication date: 9 September 2015
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2015.05.027
double well potentialprescribed mean curvature equationflux-limited diffusion1D-symmetryincreasing rearrangementlocally bounded variation functionquasilinear partial differential equation
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20) Inequalities involving derivatives and differential and integral operators (26D10) Quasilinear elliptic equations (35J62) Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear elliptic equations with mean curvature operator (35J93)
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