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A FAST DIRECTIONAL ALGORITHM FOR HIGH FREQUENCY ACOUSTIC SCATTERING IN TWO DIMENSIONS
N-body problems Helmholtz equation oscillatory kernels fast multipole methods multidirectional computation multiscale methods
2015/7/14
This paper is concerned with fast solution of high frequency acoustic scattering problems in two dimensions. We introduce a directional multiscale algorithm for the N-body problem of the two dimension...
The stochastic acceleration problem in two dimensions
stochastic acceleration problem two dimensions
2015/7/14
We consider the motion of a particle in a two-dimensional spatially homogeneous mixing potential and show that its momentum converges to the Brownian motion on a circle. This complements the limit the...
Validity of the Hohenberg Theorem for a Generalized Bose-Einstein Condensation in Two Dimensions
Bose - Einstein condensation horn theorem states generalized condensation
2014/12/22
Several authors have considered the possibility of a generalized Bose-Einstein condensation (BEC) in which a band of low states is occupied so that the total occupation number is macroscopic, even if ...
Comment on “Phase Diagram of a Disordered Boson Hubbard Model in Two Dimensions”
Superfluid mott insulation bose glass monte carlo simulation
2014/12/20
In a recent Letter [1] (see also [2]) the authors presented numerical evidence supporting an idea of a direct transition between the superfluid (SF) and Mott insulating (MI) phases in the disordered B...
Scaling and universality in two dimensions: three-body bound states with short-ranged interactions
two dimensions three-body bound states short-ranged interactions Quantum Gases
2011/10/8
Abstract: The momentum space zero-range model is used to investigate universal properties of three interacting particles confined to two dimensions. The pertinent equations are first formulated for a ...
Eigenvalue Problem in Two Dimensions for an Irregular Boundary II: Neumann Condition
Eigenvalue Problem Two Dimensions Irregular Boundary II Neumann Condition
2011/7/26
Eigenvalue Problem in Two Dimensions for an Irregular Boundary II: Neumann Condition.
Conventional and charge six superfluids from melting hexagonal Fulde-Ferrell-Larkin-Ovchinnikov phases in two dimensions
Fulde-Ferrell-Larkin-Ovchinnikov two dimensions
2011/9/13
We consider defect mediated melting of Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) and pair density wave (PDW) phases in two dimensions. Examining mean-field ground states in which the spatial oscillation...
Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
Global uniqueness reconstruction multi-channel Gel'fand-Calderón inverse problem
2011/2/24
We study the multi-channel Gel’fand-Calderón inverse problem in two dimensions, i.e. the inverse boundary value problem for the equation − + v(x) = 0, x 2 D, where v is a smooth matrix-valued...
Strichartz estimates for Dirichlet-wave equations in two dimensions with applications
Strichartz estimtes Strauss conjecture obstacles
2011/2/21
We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension n is two. As pointed out in [7] this case is more subtle than n = 3 or 4 due to the fact that the arguments of ...
Homogenization of the G-equation with incompressible random drift in two dimensions
the G-equation incompressible dimensions
2010/11/8
We study the homogenization limit of solutions to the G-equation with random drift. This Hamilton-Jacobi equation is a model for flame propagation in a turbulent fluid in the regime of thin flames. F...
Phenomenological Model for the metal-insulator transition in two dimensions
metal-insulator transition logistics equation
2010/7/8
The resistivity measured in two-dimensional MOSFET geometry is modeled by considering that the resistivity is a function of the temperature and the areal density of charges (electrons or holes). The l...
The di®erence of the variance functions between two estimated responses for a fourth order rotatable design in two dimensions
variance functions estimated responses rotatable design
2009/1/4
In this paper the di®erence of the variance functions between
two estimated responses for a fourth order design at any two points in the
factor space is developed. In particular, the variance fu...
Identification of a spatially dependent conductivity in two dimensions
Identification of a spatially dependent conductivity dimensions
2010/9/14
From some measured data on the boundary of a domain in two dimensions, we get the unknown conductivity coefficient in the whole domain by applying Backus-Gilbert method on some integral identity. Prac...
Scattering of Internal Waves at Finite Topography in Two Dimensions. Part I: Theory and Case Studies
Internal Waves Finite Topography
2008/6/30
The scattering of internal gravity waves at finite topography in two dimensions is studied theoretically and numerically for a finite depth ocean. A formal solution is derived using a mapping function...
Scattering of Internal Waves at Finite Topography in Two Dimensions. Part II: Spectral Calculations and Boundary Mixing
Internal Waves Finite Topography Boundary Mixing
2008/6/30
The scattering of internal gravity waves at finite topography is studied theoretically and numerically for a two-dimensional finite-depth ocean. In Part I a single incident plane wave was considered. ...