Results 21 to 30 of about 407,150 (131)

The tri-harmonic Neumann problem

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this article investigated the tri-harmonic Neumann function for the unit dics. For harmonics functions the Neumann’s boundary problem is well studied and solved under certain conditions through Neumann’s function, sometimes it is also called Green’s ...
S. Burgumbayeva
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The Dirichlet-to-Neumann map for the elliptic sine Gordon [PDF]

, 2012
We analyse the Dirichlet problem for the elliptic sine Gordon equation in the upper half plane. We express the solution $q(x,y)$ in terms of a Riemann-Hilbert problem whose jump matrix is uniquely defined by a certain function $b(\la)$, $\la\in\R ...
Fokas, A. S., Pelloni, Beatrice
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The Unified Method: I Non-Linearizable Problems on the Half-Line

, 2011
Boundary value problems for integrable nonlinear evolution PDEs formulated on the half-line can be analyzed by the unified method introduced by one of the authors and used extensively in the literature.
A S Fokas, Bikbaev R F, Bona J L, Boutet de Monvel A, Coddington E A, Deconinck B Trogdon T Vasan V, Doschoris M, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S, Fokas A S Pelloni B, Habibullin I T, Its A R, J Lenells, Lenells J, Lenells J, Lenells J, Lenells J, Pelloni B, Smith D A, Smith D A, Tarasov V O, Vetra S   +26 more
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A Green's function for diffraction by a rational wedge [PDF]

, 1989
In this paper we derive an expression for the point source Green's function for the reduced wave equation, valid in an angular sector whose angle is equal to a rational multiple of 77.
Rawlins, AD
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Transparent boundary conditions based on the Pole Condition for time-dependent, two-dimensional problems [PDF]

, 2012
The pole condition approach for deriving transparent boundary conditions is extended to the time-dependent, two-dimensional case. Non-physical modes of the solution are identified by the position of poles of the solution's spatial Laplace transform in ...
Alpert, Antoine, Astley, Bérenger, Ehrhardt, Engquist, Givoli, Givoli, Hagstrom, Hagstrom, Hagstrom, Hagstrom, Hagstrom, Hairer, Hohage, Hohage, Hohage, Lindman, Nannen, Nannen, Ruprecht, Schmidt, Schmidt, Schmidt, Schmidt, Tsynkov, Zschiedrich, Zschiedrich   +27 more
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The Unified Method: III Non-Linearizable Problems on the Interval

, 2011
Boundary value problems for integrable nonlinear evolution PDEs formulated on the finite interval can be analyzed by the unified method introduced by one of the authors and used extensively in the literature.
A S Fokas, Fokas A S, Fokas A S, J Lenells, Lenells J   +4 more
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Stress–singularity analysis in space junctions of thin plates [PDF]

, 2000
The stress singularity in space junctions of thin linearly elastic isotropic plate elements with zero bending rigidities is investigated. The problem for an intersection of infinite wedge-shaped elements is considered first and the solution for each ...
Mikhailov, SE, Namestnikova, IV
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On the lowest by $x$-variable terms influence on the spectral properties of dirichlet problem for the hyperbolic systems

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We made the comparison study and characterize the spectral properties of differential operators induced by the Dirichlet problem for the hyperbolic system without the lowest terms of the form $$ \cfrac{\partial^2{u^1}}{\partial{t}^2}+\cfrac{\partial^2{u ...
Olesya V Alexeeva, Vasiliy V Kornienko, Dmitriy V Kornienko   +2 more
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Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis [PDF]

, 2009
We consider a class of Boussinesq systems of Bona-Smith type in two space dimensions approximating surface wave flows modelled by the three-dimensional Euler equations.
Dougalis, Vassilios, Mitsotakis, Dimitrios, Saut, Jean-Claude   +2 more
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A brief historical perspective of the Wiener-Hopf technique [PDF]

, 2007
It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator.
Abrahams, ID, Lawrie, JB
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