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On Analytic Continuation of Conformal Mapping of a Circular Triangle
Pleiades Publishing Ltd - Tập 62 - Trang 2112-2122 - 2023
S. V. Pikulin
Given a circular triangle T having a zero angle at a point at infinity and two equal nonzero angles, it is shown that a conformal mapping of T onto a half-plane can be continued to a semi-infinite strip by applying the Riemann–Schwarz symmetry principle. The problem of analytic continuation of such a mapping arises as an auxiliary problem in constructing a conformal mapping of an L-shaped domain o...... hiện toàn bộ
Solution of Inverse Problems for Wave Equation with a Nonlinear Coefficient
Pleiades Publishing Ltd - Tập 61 - Trang 1511-1520 - 2021
A. V. Baev
Two hyperbolic equations with a nonlinear coefficient multiplying the highest derivative are considered. The coefficient determines the velocity of nonlinear waves and characterizes the scattering properties of the medium. For stationary traveling-wave solutions, inverse problems are set up consisting of determining a nonlinear coefficient from the dependence of the period on the amplitude of the ...... hiện toàn bộ
On a modification of the FitzHugh-Nagumo neuron model
Pleiades Publishing Ltd - Tập 54 - Trang 443-461 - 2014
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov
A singularly perturbed system of ordinary differential equations with a fast and a slow variable is proposed, which is a modification of the well-known FitzHugh-Nagumo model from neuroscience. The existence and stability of a nonclassical relaxation cycle in this system are studied. The slow component of the cycle is asymptotically close to a discontinuous function, while the fast component is a δ...... hiện toàn bộ
On the Galilean group for balance relations generating kinetic schemes
Pleiades Publishing Ltd - - 2006
V. F. Kovalev, Б. Н. Четверушкин
Track method for the calculation of plasma heating by charged thermonuclear reaction products for axisymmetric flows
Pleiades Publishing Ltd - - 2016
А. А. Фролова, K. V. Khishchenko, A. A. Charakhch’yan
Well-Posedness and Spectral Analysis of Integrodifferential Equations of Hereditary Mechanics
Pleiades Publishing Ltd - Tập 60 - Trang 1322-1330 - 2020
V. V. Vlasov, N. A. Rautian
The well-posedness of initial value problems for abstract integrodifferential equations with unbounded operator coefficients in Hilbert spaces is studied, and spectral analysis of the operator functions that are the symbols of these equations is performed. The equations under consideration are an abstract form of linear partial integrodifferential equations arising in viscoelasticity theory, which...... hiện toàn bộ
The first variation and Pontryagin’s maximum principle in optimal control for partial differential equations
Pleiades Publishing Ltd - - 2009
М. И. Сумин
A method of Fourier series for solution of problems in piecewise inhomogeneous domains with rectilinear crack (screen)
Pleiades Publishing Ltd - - 2008
S. E. Kholodovskii
In the framework of the theory of harmonic functions, potentials of steady state processes (heat conduction, filtration, or electrostatics) in the piecewise inhomogeneous plane separated by a rectilinear strongly permeable crack or by a weakly permeable screen into two half-planes with quadratic permeability functions are constructed. The motion is induced by given singular points of the potential...... hiện toàn bộ
Implementation and comparison of various approaches to solving coupled thermal analysis problems on unstructured meshes
Pleiades Publishing Ltd - Tập 53 - Trang 503-519 - 2013
K. N. Volkov
The features of a simplified approach to coupled thermal analysis problems as based on the integration of the energy equation for a viscous compressible gas are discussed. The gas velocity field is assumed to be frozen, and a single iteration is run to update it at each step of the coupling procedure. The equation describing the temperature distribution in a solid is discretized using the finite e...... hiện toàn bộ
Tối ưu hóa điều khiển trong hệ thống tuyến tính hyperbolic Dịch bởi AI
Pleiades Publishing Ltd - Tập 52 - Trang 4-19 - 2012
A. I. Tyatyushkin
Một bài toán tối ưu điều khiển được xem xét cho hệ thống Goursat-Darboux với tham số phân tán và điều kiện biên được kiểm soát. Để giải quyết bài toán này một cách số, một thuật toán dựa trên tính tách biệt và các định lý minimax được xây dựng, nhằm giảm bài toán thành việc tìm cực đại của một hàm chức năng lồi được định nghĩa trong lớp các hàm biến đơn.
#tối ưu hóa #điều khiển #hệ thống Goursat-Darboux #điều kiện biên #thuật toán #hàm chức năng lồi
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