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Lagrangian flows for vector fields with gradient given by a singular integral [PDF]
, 2013 We prove quantitative estimates on ows of ordinary di erential equations with vector field with gradient given by a singular integral of an L1 function.
Crippa, Gianluca, Bouchut, Francois
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TO THE QUESTION OF UNIQUENESS OF DEGENERATE SINGULAR INTEGRAL EQUATIONS SOLUTIONS
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The work is devoted to the study of sets of functions in which the condition for the unique solvability of degenerate singular integral equations is satisfied.
I. V. Boykov +2 more
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Journal of Inequalities and Applications, 2017 The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities.
Zizun Li, Wu-Sheng Wang
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Flows of singular vector fields and applications to fluid and kinetic equations [PDF]
, 2015 Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
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AN APPROXIMATE METHODS FOR SOLVING POLYSINGULAR INTEGRAL EQUATIONS IN DEGENERATE CASES
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. This work is devoted to the study of sets of functions in which the condition of unique solvability of degenerate polysingular integral equations is satisfied, and to the construction of approximate methods for solving polysingular integral
I. V. Boykov +2 more
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H-polarized plane wave scattering by graphene strip grating on top of a dielectric substrate
Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2022 Relevance. Graphene is relatively new material which properties can be controlled dynamically under external influence by applying electrostatic or magnetostatic field. Also graphene can absorb electromagnetic field. Graphene strips with substrate can be
M.E. Kaliberda, S. A. Pogarsky
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Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography [PDF]
, 2015 We propose the generalized quadrature methods for numerical solution of singular integral equation of Abel type. We overcome the singularity using the analytical calculation of the singular integral expression.
V. Sizikov, D. Sidorov
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Solutions of singular integral equations
International Journal of Mathematics and Mathematical Sciences, 1982 Qualitative behavior of solutions of possibly singluar integral equations is studied. It includes properties such as positivity, boundedness and monotonicity of the solutions of the infinite interval.
Rina Ling
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Computer Assisted Methods in Engineering and Science, 2017 Singular and hypersingular integral equations appear frequently in engineering problems. The approximate solution of these equations by using various numerical methods is well known.
Nikolaos I. Ioakimidis
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On The Approximation Of Singular Integral Equations By Equations With Smooth Kernels [PDF]
, 1993 Singular integral equations with Cauchy kernel and piecewise--continuous matrix coefficients on open and closed smooth curves are replaced by integral equations with smooth kernels of the form (t \Gamma ø )[(t \Gamma ø ) 2 \Gamma n 2 (t)" 2 ]
Prößdorf, Siegfried +4 more
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