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Asymptotics of Long Standing Waves in One-Dimensional Pools with Shallow Banks: Theory and Experiment.
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- Fluid Dynamics, 2023, v. 58, n. 7, p. 1213, doi. 10.1134/S0015462823602097
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Asymptotics of Long Standing Waves in One-Dimensional Pools with Shallow Banks: Theory and Experiment.
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- Fluid Dynamics, 2023, v. 58, n. 6, p. 1213, doi. 10.1134/S0015462823602097
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- Article
Asymptotics of the Localized Bessel Beams and Lagrangian Manifolds.
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- Journal of Communications Technology & Electronics, 2023, v. 68, n. 6, p. 625, doi. 10.1134/S1064226923060037
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Uniformization and Semiclassical Asymptotics for a Class of Equations Degenerating on the Boundary of a Manifold.
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- Journal of Mathematical Sciences, 2023, v. 270, n. 4, p. 507, doi. 10.1007/s10958-023-06363-8
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Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides.
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- Theoretical & Mathematical Physics, 2023, v. 214, n. 1, p. 1, doi. 10.1134/S0040577923010014
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Canonical Operator on Punctured Lagrangian Manifolds and Commutation with Pseudodifferential Operators: Local Theory.
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- Mathematical Notes, 2022, v. 112, n. 5/6, p. 709, doi. 10.1134/S0001434622110086
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-Algebras of Transmission Problems and Elliptic Boundary Value Problems with Shift Operators.
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- Mathematical Notes, 2022, v. 111, n. 5/6, p. 701, doi. 10.1134/S0001434622050042
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Representation of Bessel functions by the Maslov canonical operator.
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- Theoretical & Mathematical Physics, 2021, v. 208, n. 2, p. 1018, doi. 10.1134/S0040577921080031
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Lagrangian Manifolds and Efficient Short-Wave Asymptotics in a Neighborhood of a Caustic Cusp.
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- Mathematical Notes, 2020, v. 108, n. 3/4, p. 318, doi. 10.1134/S0001434620090023
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Efficient Asymptotics in Problems on the Propagation of Waves Generated by Localized Sources in Linear Multidimensional Inhomogeneous and Dispersive Media.
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- Computational Mathematics & Mathematical Physics, 2020, v. 60, n. 8, p. 1348, doi. 10.1134/S0965542520080060
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Uniformization of Equations with Bessel-Type Boundary Degeneration and Semiclassical Asymptotics.
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- Mathematical Notes, 2020, v. 107, n. 5/6, p. 847, doi. 10.1134/S0001434620050132
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Uniform Asymptotic Solution in the Form of an Airy Function for Semiclassical Bound States in One-Dimensional and Radially Symmetric Problems.
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- Theoretical & Mathematical Physics, 2019, v. 201, n. 3, p. 1742, doi. 10.1134/S0040577919120079
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Maslov's Canonical Operator in Problems on Localized Asymptotic Solutions of Hyperbolic Equations and Systems.
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- Mathematical Notes, 2019, v. 106, n. 3/4, p. 402, doi. 10.1134/S0001434619090098
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Asymptotic Eigenfunctions of the Operator ∇D(x)∇ Defined in a Two-Dimensional Domain and Degenerating on Its Boundary and Billiards with Semi-Rigid Walls.
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- Differential Equations, 2019, v. 55, n. 5, p. 644, doi. 10.1134/S0012266119050069
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Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the ▽D(x)▽ Operator in Dimension 2 and Trapped Coastal Waves.
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- Mathematical Notes, 2019, v. 105, n. 5/6, p. 789, doi. 10.1134/S0001434619050158
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Typical Shape of Elements in an Arithmetical Semigroup with Exponentially Growing Prime Counting Function and Deviations from the Bose-Einstein Distribution.
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- Mathematical Notes, 2018, v. 104, n. 5/6, p. 939, doi. 10.1134/S0001434618110408
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Simple Asymptotics for a Generalized Wave Equation with Degenerating Velocity and Their Applications in the Linear Long Wave Run-Up Problem.
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- Mathematical Notes, 2018, v. 104, n. 3/4, p. 471, doi. 10.1134/S0001434618090158
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Homogenization Method in the Problem of Long Wave Propagation from a Localized Source in a Basin over an Uneven Bottom.
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- Differential Equations, 2018, v. 54, n. 8, p. 1057, doi. 10.1134/S0012266118080062
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One Approach to the Computation of Asymptotics of Integrals of Rapidly Varying Functions.
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- Mathematical Notes, 2018, v. 103, n. 5/6, p. 713, doi. 10.1134/S0001434618050048
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Analogue of Maslov’s Canonical Operator for Localized Functions and Its Applications to the Description of Rapidly Decaying Asymptotic Solutions of Hyperbolic Equations and Systems.
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- Doklady Mathematics, 2018, v. 97, n. 2, p. 177, doi. 10.1134/S1064562418020217
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On the asymptotics of a Bessel-type integral having applications in wave run-up theory.
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- Mathematical Notes, 2017, v. 102, n. 5/6, p. 756, doi. 10.1134/S0001434617110141
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The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides.
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- Doklady Mathematics, 2017, v. 96, n. 1, p. 406, doi. 10.1134/S1064562417040275
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On the limit shape of elements of an arithmetic semigroup with an exponentially growing counting function of basis elements.
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- Doklady Mathematics, 2017, v. 95, n. 3, p. 226, doi. 10.1134/S1064562417030115
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Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach.
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- Mathematical Notes, 2017, v. 101, n. 5/6, p. 802, doi. 10.1134/S0001434617050066
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Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions.
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- Mathematical Notes, 2017, v. 101, n. 5/6, p. 1053, doi. 10.1134/S0001434617050339
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Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation.
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- Mathematical Notes, 2016, v. 100, n. 5/6, p. 695, doi. 10.1134/S0001434616110067
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Volume and entropy in abstract analytic number theory and thermodynamics.
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- Mathematical Notes, 2016, v. 100, n. 5/6, p. 828, doi. 10.1134/S0001434616110225
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Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds.
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- Mathematical Notes, 2016, v. 100, n. 3/4, p. 421, doi. 10.1134/S000143461609008X
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Remark on the inverse abstract prime number theorem.
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- Mathematical Notes, 2016, v. 100, n. 3/4, p. 633, doi. 10.1134/S0001434616090352
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Asymptotic estimate of the 2011 tsunami source epicenter coordinates based on the mareograms recorded by the South Iwate GPS buoy and the DART 21418 station.
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- Doklady Physics, 2016, v. 61, n. 7, p. 335, doi. 10.1134/S102833581607003X
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Bose-Einstein distribution as a problem of analytic number theory: The case of less than two degrees of freedom.
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- Mathematical Notes, 2016, v. 100, n. 1/2, p. 245, doi. 10.1134/S0001434616070191
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On the Bose-Maslov statistics in the case of infinitely many degrees of freedom.
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- Doklady Mathematics, 2016, v. 93, n. 3, p. 326, doi. 10.1134/S1064562416030297
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Disinformation theory for bosonic computational media.
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- Mathematical Notes, 2016, v. 99, n. 5/6, p. 895, doi. 10.1134/S000143461605028X
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Remark on the notion of optimal data compression in information theory.
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- Mathematical Notes, 2016, v. 99, n. 3/4, p. 616, doi. 10.1134/S0001434616030378
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Maslov's canonical operator in arbitrary coordinates on the Lagrangian manifold.
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- Doklady Mathematics, 2016, v. 93, n. 1, p. 99, doi. 10.1134/S1064562416010300
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On the rate of convergence to the Bose-Einstein distribution.
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- Mathematical Notes, 2016, v. 99, n. 1/2, p. 95, doi. 10.1134/S0001434616010107
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On a homogenization method for differential operators with oscillating coefficients.
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- Doklady Mathematics, 2015, v. 91, n. 2, p. 227, doi. 10.1134/S106456241502026X
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Maslov's canonical operator, Hörmander's formula, and localization of the Berry-Balazs solution in the theory of wave beams.
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- Theoretical & Mathematical Physics, 2014, v. 180, n. 2, p. 894, doi. 10.1007/s11232-014-0187-5
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On the representation of localized functions in ℝ by the Maslov canonical operator.
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- Mathematical Notes, 2014, v. 96, n. 1/2, p. 99, doi. 10.1134/S0001434614070098
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The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary.
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- Mathematical Notes, 2014, v. 96, n. 1/2, p. 248, doi. 10.1134/S0001434614070268
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New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics.
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- Theoretical & Mathematical Physics, 2013, v. 177, n. 3, p. 1579, doi. 10.1007/s11232-013-0123-0
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Wave Trains Associated with a Cascade of Bifurcations of Space-Time Caustics over Elongated Underwater Banks.
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- Mathematical Modelling of Natural Phenomena, 2013, v. 8, n. 5, p. 1, doi. 10.1051/mmnp/20138501
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On the entropy of a Bose-Maslov gas.
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- Doklady Mathematics, 2013, v. 87, n. 1, p. 50, doi. 10.1134/S1064562413010195
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The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions.
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- Theoretical & Mathematical Physics, 2012, v. 172, n. 3, p. 1263, doi. 10.1007/s11232-012-0112-8
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Phase space geometry for a wave equation degenerating on the boundary of the domain.
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- Mathematical Notes, 2012, v. 92, n. 1/2, p. 144, doi. 10.1134/S0001434612070176
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On the asymptotics of the number of states for the Bose-Maslov gas.
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- Mathematical Notes, 2012, v. 91, n. 5/6, p. 816, doi. 10.1134/S0001434612050288
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Degenerate wave equation with localized initial data: Asymptotic solutions corresponding to various self-adjoint extensions.
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- Mathematical Notes, 2011, v. 89, n. 5/6, p. 749, doi. 10.1134/S0001434611050166
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Atiyah-Bott index on stratified manifolds.
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- Journal of Mathematical Sciences, 2010, v. 170, n. 2, p. 229, doi. 10.1007/s10958-010-0081-0
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On the Poincaré isomorphism in K-theory on manifolds with edges.
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- Journal of Mathematical Sciences, 2010, v. 170, n. 2, p. 238, doi. 10.1007/s10958-010-0082-z
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Noncommutative geometry and classification of elliptic operators.
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- Journal of Mathematical Sciences, 2010, v. 164, n. 4, p. 603, doi. 10.1007/s10958-010-9765-8
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