Results 21 to 30 of about 488 (51)

Monodromy transform and the integral equation method for solving the string gravity and supergravity equations in four and higher dimensions

, 2012
The monodromy transform and corresponding integral equation method described here give rise to a general systematic approach for solving integrable reductions of field equations for gravity coupled bosonic dynamics in string gravity and supergravity in ...
F. D. Gakhov, F. D. Gakhov, G. A. Alekseev, G. A. Alekseev, G. A. Alekseev, G. A. Alekseev, G. A. Alekseev, G. A. Alekseev, G. A. Alekseev, R. Meinel, V. A. Belinski, V. A. Belinski   +11 more
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The Gakhov barriers and extremals for the level lines

Учёные записки Казанского университета: Серия Физико-математические науки, 2018
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  

Gap Probability Distribution of the Jacobi Unitary Ensemble: An Elementary Treatment, from Finite $n$ to Double Scaling

, 2017
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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Polyanalytic Hardy decomposition of higher order Lipschitz functions

, 2020
This paper is concerned with the problem of decomposing a higher order Lipschitz function on a closed Jordan curve $\Gamma$ into a sum of two polyanalytic functions in each open domain defined by $\Gamma$.
Blaya, Ricardo Abreu, Toranzo, Lianet De la Cruz   +1 more
core  

Pattern formation in Hamiltonian systems with continuous spectra; a normal-form single-wave model [PDF]

, 2013
Pattern formation in biological, chemical and physical problems has received considerable attention, with much attention paid to dissipative systems. For example, the Ginzburg--Landau equation is a normal form that describes pattern formation due to the ...
Balmforth, N. J., Morrison, P. J., Thiffeault, J. -L.   +2 more
core  

Boundary integral formulation for interfacial cracks in thermodiffusive bimaterials

, 2015
An original boundary integral formulation is proposed for the problem of a semi-infinite crack at the interface between two dissimilar elastic materials in the presence of heat flows and mass diffusion.
Morini, L., Piccolroaz, A.
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Numerical Solutions Of Cauchy Type Singular Integral Equations Of The First Kind Using Polynomial Approximations [PDF]

, 2010
In this thesis, the exact solutions of the characteristic singular integral equation of Cauchy type 1−1'(t)t − x dt = f(x), −1 < x < 1, (0.1) are described, where f(x) is a given real valued function belonging to the H¨older class and '(t) is to be ...
Mahiub, Mohammad Abdulkawi
core  

The Wiener-Hopf technique, its generalizations and applications: constructive and approximate methods. [PDF]

Proc Math Phys Eng Sci, 2021
Kisil AV, Abrahams ID, Mishuris G, Rogosin SV.   +3 more
europepmc   +1 more source

Numerical Evaluation of Cauchy Type Singular Integrals Using Modification of Discrete Vortex Method [PDF]

, 2007
In this thesis, characteristic singular integral equations of Cauchy type ()(),LtdtfxxLxtϕ=∈−∫ (1) where L is open or closed contour, are examined. The analytical solutions for equation (1) are described.
Mahiub, Mohammad Abdulkawi
core  

Branch cuts of Stokes wave on deep water. Part I: Numerical solution and Pad\'e approximation

, 2015
Complex analytical structure of Stokes wave for two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth is analyzed.
Dyachenko, S. A., Korotkevich, A. O., Lushnikov, P. M.   +2 more
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