Existence and rigidity of the vectorial Peierls–Nabarro model for dislocations in high dimensions
Existence and rigidity of the vectorial Peierls–Nabarro model for dislocations in high dimensions
Abstract We focus on the existence and rigidity problems of the vectorial Peierls–Nabarro (PN) model for dislocations. Under the assumption that the misfit potential on the slip plane only depends on the shear displacement along the Burgers vector, a reduced non-local scalar Ginzburg–Landau equation with an anisotropic positive (if Poisson …