arXiv subjects

Huiayu Jian

Publications and source records attributed to Huiayu Jian.

2 recordsLinked to original sources

arXiv2003

A relation between Gamma convergence of functionals and their associated gradient flows

De Giorgi conjectured in 1979 that if a sequence of functionals converges in the sense of Gamma-convergence to a limiting functional, then the corresponding gradient flows will converge as well after changing timescale appropriately. It is shown that this conjecture holds true for a rather wide kind of functionals.

math.AP↗

arXiv2003

Gamma-convergence of integral functionals depending on vector-valued functions over parabolic domains

De Giorgi conjectured in 1979 that if a sequence of parabolic functionals Gamma converges to a limiting functional, then the corresponding gradient flows will converge as well after changing timescale appropriately. This paper studies the Gamma convergence for a kind of parabolic functionals, and it supports the De Giorgi's conjecture.

math.AP↗