Consider the linear transport equation in 1D under an external confining potential
For
Experiments with diblock co-polymer melts display undulated bilayers that emanate from defects such as triple junctions and endcaps, [
Consider the linear transport equation in 1D under an external confining potential
For
We consider the linear third order (in time) PDE known as the SMGTJ-equation, defined on a bounded domain, under the action of either Dirichlet or Neumann boundary control
We consider the well-known Lieb-Liniger (LL) model for
In this paper we consider the inverse problem of determining structural properties of a thin anisotropic and dissipative inhomogeneity in
We study the asymptotics of the Poisson kernel and Green's functions of the fractional conformal Laplacian for conformal infinities of asymptotically hyperbolic manifolds. We derive sharp expansions of the Poisson kernel and Green's functions of the conformal Laplacian near their singularities. Our expansions of the Green's functions answer the first part of the conjecture of Kim-Musso-Wei[