Superconvergence for a Mixed Finite Element Method for Elastic Wave Propagation in a Plane Domain.
We define, for the trace of solution of vibrating plates equation, norms with initial conditions in no regular spaces. Then, we give the corresponding exact controllability results.
Este trabajo está consagrado al estudio de un problema de perturbación singular que aparece en la teoría de la elasticidad.
Este artículo es continuación de (I). Está consagrado al estudio de un problema de perturbación singular proveniente de la teoría de la elasticidad.
We study an atomistic pair potential-energy E(n)(y) that describes the elastic behavior of two-dimensional crystals with natoms where characterizes the particle positions. The main focus is the asymptotic analysis of the ground state energy asn tends to infinity. We show in a suitable scaling regime where the energy is essentially quadratic that the energy minimum of E(n) admits an asymptotic expansion involving fractional powers of n: The bulk energy densityEbulk is given by an explicit expression...
We study an atomistic pair potential-energy E(n)(y) that describes the elastic behavior of two-dimensional crystals with n atoms where characterizes the particle positions. The main focus is the asymptotic analysis of the ground state energy as n tends to infinity. We show in a suitable scaling regime where the energy is essentially quadratic that the energy minimum of E(n) admits an asymptotic expansion involving fractional powers of n: The bulk energy density Ebulk is given by an explicit expression...