Analytical solutions to LQG homing problems in one dimension

Energy band correction due to one dimension tension in phosphorene

Among graphene-like family, phosphorene is a typical semiconducting layered material, which can also be a superconductor in low temperature. Applying pressure or tension on phosphorene lattice results in changing the hopping terms, which change the energy bands of the material. In this research we use the tight-binding Hamiltonian, including relevant hopping terms, to calculate energy bands of ...

Existence and Uniqueness of Solutions for Boundary Value Problems to the Singular One-Dimension p-Laplacian

Boundary Value Problems in One Dimension

While its roots are firmly planted in the finite-dimensional world of matrices and vectors, the full scope of linear algebra is much broader. Its historical development and, hence, its structures, concepts, and methods, were strongly influenced by linear analysis — specifically, the need to solve linear differential equations, linear boundary value problems, linear integral equations, and the l...

Uniqueness of Entropy Solutions of Nonlinear Elliptic-Parabolic-Hyperbolic Problems in One Dimension Space

We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t−a(u, φ(u)x)x = f with homogeneous Dirichlet conditions and initial conditions. In this paper we prove an L-contraction principle and the uniqueness of entropy solutions under rather general assumptions on the data.

Analytical model for a cooperative ballistic deposition in one dimension.

We formulate a model for a cooperative ballistic deposition (CBD) process whereby the incoming particles are correlated with those already adsorbed via attractive force. The strength of the correlation is controlled by a tunable parameter a that interpolates the classical car parking problem at a=0, the ballistic deposition at a=1, and the CBD model at a>1. The effects of the correlation in the...