| dc.description.abstract | by competing short and long-range interactions, there exists some energies have been introduced and studied in the mathematics. these energies are relevance to the diblock copolymer
microphase separation model. the diblock copolymer is a linear-chain molecule with two
sub-chains. these two sub-chains are covalently linked to each other. one of the sub-chains
is na monomers of typed a and the other one is nb monomers of types b. the problem
of diblock copolymers was introduced by ohta and kawasaki [1] in 1986 at first based on a
density-functional theory. nowadays, this problem has rekindled the interest of mathematicians.
the following research of the diblock copolymers is about the droplet regime. furthermore, a continuous study of the sharp interface of the diblock copolymers is addressed as a
study of small volume-fraction asymptotic properties of a nonlocal isoperimetric functional
with a confinement term. this functional is the sharp interface limit with a large number
static nanoparticles as a confinement term and penalize the energy outside of a fixed region
[2]. [...] | en_us |
