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 +11 more
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Pattern formation in Hamiltonian systems with continuous spectra; a normal-form single-wave model [PDF]
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. +2 more
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Boundary integral formulation for interfacial cracks in thermodiffusive bimaterials
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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Polyanalytic Hardy decomposition of higher order Lipschitz functions
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 +1 more
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The Wiener-Hopf technique, its generalizations and applications: constructive and approximate methods. [PDF]
Kisil AV +3 more
europepmc +1 more source
Generalized characteristic singular integral equation with Hilbert kernel [PDF]
In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is ...
Paweł Karczmarek
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Reinvigorating the Wiener-Hopf technique in the pursuit of understanding processes and materials. [PDF]
Abrahams D +6 more
europepmc +1 more source
Branch cuts of Stokes wave on deep water. Part I: Numerical solution and Pad\'e approximation
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. +2 more
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Residual interference and wind tunnel wall adaption [PDF]
Measured flow variables near the test section boundaries, used to guide adjustments of the walls in adaptive wind tunnels, can also be used to quantify the residual interference.
Mokry, Miroslav
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Solvability of the Gakhov Equation in S. N. Kudryashov’s Example
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