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Steady advection–diffusion around finite absorbers in two-dimensional potential flows
Steady advection–diffusion finite absorbers two-dimensional potential flows
2015/10/16
We consider perhaps the simplest non-trivial problem in advection–diffusion – a finite absorber of arbitrary cross-section in a steady two-dimensional potential flow of concentrated fluid. This proble...
Fluctuations of solutions to Wigner equation with an Ornstein-Uhlenbeck potential
Fluctuations of solutions Wigner equation Ornstein-Uhlenbeck potential
2015/7/14
We consider energy fluctuations for solutions of the Schrodinger equation with an OrnsteinUhlenbeck random potential when the initial data is spatially localized. The limit of the fluctuations of the ...
Periodically driven dynamics of a particle moving in the field of Coulomb plus confining potential
Periodically driven dynamics Coulomb plus confining potential
2011/7/7
Periodically driven dynamics of a particle moving in the field Coulomb plus confining potential is treated for one and three dimensional cases. Critical value of the external field strength at which c...
Degenerate diffusion with a drift potential: a viscosity solutions approach, joint work with I. C. Kim, truncated version
drift potential viscosity solutions approach
2010/11/23
This is a truncated version of the paper "Degenerate diffusion with a drift potential: a viscosity solutions approach", co-authored with I. C. Kim. The purpose of this version is to withdraw the claim...
Numerical treatment of long-range Coulomb potential with Berggren bases
Numerical treatment long-range Coulomb potential Berggren bases
2010/11/15
The Schrodinger equation incorporating long-range Coulomb potential takes the form of a Fredholm equation whose kernel is singular on its diagonal when represented by a basis bearing a continuum of st...
Free energy computations by minimization of Kullback-Leibler divergence: an efficient adaptive biasing potential method for sparse representations
Free energy Kullback-Leibler divergence
2010/11/17
The present paper proposes an adaptive biasing potential for the computation of free energy landscapes. It is motivated by statistical learning arguments and unifies the tasks of biasing the molecula...
Strongly Elliptic Operators for a Plane Wave Diffraction Problem in Bessel Potential Spaces
Diffraction problem Strong Ellipticity Convolution type operator Wiener-Hopf operator Equivalence after extension
2008/6/26
We consider a plane wave diffraction problem by a union of several infinite strips. The problem is formulated as a boundary-transmission one for the Helmholtz equation in a Bessel potential space sett...
The Rest-Frame Darwin Potential from the Lienard-Wiechert Solution in the Radiation Gauge
The Rest-Frame Darwin Potential Lienard-Wiechert Solution Radiation Gauge
2010/11/2
In the semiclassical approximation in which the electric charges of scalar particles are described by Grassmann variables ($Q_i^2=0, Q_iQ_j\ne 0$), it is possible to re-express the Lienard-Wiechert p...