Water entry of a flat elastic plate at high horizontal speed [PDF]
The two-dimensional problem of an elastic-plate impact onto an undisturbed surface of water of infinite depth is analysed. The plate is forced to move with a constant horizontal velocity component which is much larger than the vertical velocity component
A. A. Korobkin +16 more
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An integral equation method for solving neumann problems on simply and multiply connected regions with smooth boundaries [PDF]
This research presents several new boundary integral equations for the solution of Laplace’s equation with the Neumann boundary condition on both bounded and unbounded multiply connected regions.
Ahmad Alejaily, Ejaily Milad +7 more
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Direct Scattering for the Benjamin-Ono Equation with Rational Initial Data [PDF]
We compute the scattering data of the Benjamin-Ono equation for arbitrary rational initial conditions with simple poles. Specifically, we obtain explicit formulas for the Jost solutions and eigenfunctions of the associated spectral problem, yielding an ...
Miller, Peter D., Wetzel, Alfredo N.
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Exact Solutions for a Class of Matrix Riemann-Hilbert Problems [PDF]
Consider the matrix Riemann-Hilbert problem. In contrast to scalar Riemann-Hilbert problems, a general matrix Riemann-Hilbert problem cannot be solved in term of Sokhotskyi-Plemelj integrals.
Kucerovsky, K. (Kucerovsky) +1 more
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Eigenvalue correlations on Hyperelliptic Riemann surfaces
In this note we compute the functional derivative of the induced charge density, on a thin conductor, consisting of the union of g+1 disjoint intervals, $J:=\cup_{j=1}^{g+1}(a_j,b_j),$ with respect to an external potential.
Baker H F +9 more
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Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case [PDF]
By means of Riemann boundary value problems and of certain convenient systems of linear algebraic equations, this paper deals with the solvability of a class of singular integral equations with rotations and degenerate kernel within the case of a ...
Chuan L. H. +23 more
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First passage and arrival time densities for L\'evy flights and the failure of the method of images
We discuss the first passage time problem in the semi-infinite interval, for homogeneous stochastic Markov processes with L{\'e}vy stable jump length distributions $\lambda(x)\sim\ell^{\alpha}/|x|^{1+\alpha}$ ($|x|\gg\ell$), namely, L{\'e}vy flights (LFs)
Aleksei V Chechkin +33 more
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The Gakhov barriers and extremals for the level lines
The regular Gakhov class G1 consists of all holomorphic and locally univalent functions f in the unit disk with only one root of the Gakhov equation, which is the maximum of the hyperbolic derivative (conformal radius) of the function f . For the classes
A.V. Kazantsev
doaj
In this paper, we study the gap probability problem of the (symmetric) Jacobi unitary ensemble of Hermitian random matrices, namely the probability that the interval $(-a,a ...
Chen, Yang, Min, Chao
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On the exit of the Gakhov set along the family of Avkhadiev's classes
Professor F.G. Avkhadiev has played a crucial role in the formation of the finite-valence theory for the classes of holomorphic functions with bounded distortion.
A.V. Kazantsev
doaj

