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In this paper, we will discuss the mixed boundary value problems for the second order elliptic equation with rapidly oscillating coefficients in perforated domains, and will present the higher-order...
An interpolation problem related to the elliptic Painlev\'e equation is formulated and solved. A simple form of the elliptic Painlev\'e equation and the Lax pair are obtained. Explicit determinant for...
Abstract: It is shown that for each finite number of Dirac measures supported at points $s_n$ in three-dimensional Euclidean space, with given amplitudes $a_n$, there exists a unique real-valued Lipsc...
Abstract: Tadpole cancellation in Sen limits in F-theory was recently studied by Aluffi and Esole. We extend their results, generalizing the elliptic fibrations they used and obtaining a new case of u...
Abstract: We present a generalization of the master solution to the quantum Yang-Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking ...
Abstract: Exact solvability of brane equations is studied, and a new $U(1)xU(1)x...xU(1)$ invariant anzats for the solution of p-brane equations in D=(2p+1)-dimensional Minkowski space is proposed. Th...
Abstract: We provide analytic solutions of the nonlinear differential equation system describing the particle paths below small-amplitude periodic gravity waves travelling on a constant vorticity curr...
Abstract: Spectral asymptotics of linear periodic elliptic operators with indefinite (sign-changing) density function is investigated in perforated domains with the two-scale convergence method. The l...
I compare the first viscous hydrodynamic prediction for integrated elliptic flow in Pb-Pb collisions at the LHC with the first data released by the ALICE collaboration. These new data are found to be ...
Computational parsimony makes reduced factor Libor market models popular among practioners. However, value functions and sensitivities of such models are described by degenerate parabolic (i.e. semiel...
Quantum Hall systems are a suitable theme for a case study in the general area of nanotechnology. In particular, it is a good framework to search for universal principles relevant to nanosystem modeli...
2001Vol.36No.3pp.287-290DOI: The Open Boundary Dynamical Elliptic Quantum Gaudin Model and Its Solution ZHAO Shao-You1 and YUE Rui-Hong2 1 Department of Physics, Nanjing...
2001Vol.36No.2pp.131-134DOI: Modular Transformation and Twist Between Trigonometric Limits of sl(n) Elliptic R-Matrix YANG Wen-Li and ZHEN Yi Institute of Modern Physics...
2007Vol.47No.6pp.969-974DOI: Extended Jacobi Elliptic Function Rational Expansion Method and Its Application to (2+1)-Dimensional Stochastic Dispersive Long Wave System SONG Li-Na...

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