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Blow-up in Nonlinear Sobolev Type Equations

1. Aufl., 2011

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Semi-Classical Models of Quantum Nanoplasmonics Based on the Discrete Source Method (Review)

Computational mathematics and mathematical physics, 2021-04, Vol.61 (4), p.564-590

2021

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Method for Analyzing the Influence of the Quantum Nonlocal Effect on the Characteristics of a Plasmonic Nanolaser

Doklady. Mathematics, 2020, Vol.101 (1), p.20-24

2020

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Discrete Source Method for the Study of Influence Nonlocality on Characteristics of the Plasmonic Nanolaser Resonators

Computational mathematics and mathematical physics, 2019-12, Vol.59 (12), p.2164-2172

2019

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Mathematical Model of Plasmon Nanolaser Resonator Taking the Non-Local Effect into Account

Mathematical models and computer simulations, 2021-05, Vol.13 (3), p.466-473

2021

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Discrete Sources Method to Solve Nonlocal Scattering Problems in Plasmonic Applications

Lobachevskii journal of mathematics, 2020-07, Vol.41 (7), p.1337-1353

2020

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Mathematical Model Taking into Account Nonlocal Effects of Plasmonic Structures on the Basis of the Discrete Source Method

Computational mathematics and mathematical physics, 2018-04, Vol.58 (4), p.572-580

2018

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Quantum Effects on Optical Properties of a Pair of Plasmonic Particles Separated by a Subnanometer Gap

Computational mathematics and mathematical physics, 2019, Vol.59 (1), p.112-120

2019

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The Mathematical Model of the Fluorescence Processes Accounting for the Quantum Effect of the Nonlocal Screening

Mathematical models and computer simulations, 2019-11, Vol.11 (6), p.1041-1051

2019

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Analysis of the Influence of the Nonlocality Effect on the Characteristics of Plasmon Nanolaser Resonators via the Discrete Sources Method

Moscow University physics bulletin, 2019-05, Vol.74 (3), p.262-268

2019

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Generalized optical theorem to a multipole source excitation in the scattering theory

Russian journal of mathematical physics, 2017-04, Vol.24 (2), p.207-215

2017

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Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods

1st edition., 2018

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Influence of Non-Local Effect on the Scattering Properties of NonSpherical Plasmonic Nanoparticles on a Substrate

Mathematical models and computer simulations, 2018-11, Vol.10 (6), p.730-740

2018

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Analysis of the Influence of Longitudinal Fields on the Scattering Properties of Nonspherical Plasmonic Nanoparticle Clusters via the Discrete-Sources Method

Moscow University physics bulletin, 2018-09, Vol.73 (5), p.475-481

2018

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Analysis method for the scattering properties of plasmonic particles on a substrate accounting for nonlocal effects

Doklady. Mathematics, 2017-11, Vol.96 (3), p.641-645

2017

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Generalization of the optical theorem for an arbitrary multipole in the presence of a transparent half-space

Acoustical physics, 2017-07, Vol.63 (4), p.378-384

2017

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Generalization of the optical theorem to multipole sources in the scattering theory of electromagnetic waves

Computational mathematics and mathematical physics, 2017-07, Vol.57 (7), p.1173-1180

2017

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Optical theorem for multipole sources in wave diffraction theory

Acoustical physics, 2016-05, Vol.62 (3), p.263-268

2016

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Near Field Formation via Colloid Particles in Problems of Nanoprocessing Silicon Substrates

Mathematical models and computer simulations, 2018, Vol.10 (1), p.36-44

2018

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Blow-up of solutions of nonlinear Sobolev type equations with cubic sources

Differential equations, 2006-03, Vol.42 (3), p.431-443

2006

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Analyzing the effect of nonlocality on the scattering properties of a plasmonic nanocylinder using the discrete-source method

Moscow University physics bulletin, 2016-09, Vol.71 (5), p.492-497

2016

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Estimating Integral Scattering Characteristics in a Point Emitter Field from Energy Relationships

Computational mathematics and modeling, 2016-10, Vol.27 (4), p.429-438

2016

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Discrete source method for analysis of fluorescence enhancement in the presence of plasmonic structures

Computational mathematics and mathematical physics, 2016, Vol.56 (1), p.140-147

2016

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On blow up of generalized Kolmogorov–Petrovskii–Piskunov equation

Nonlinear analysis, 2009-12, Vol.71 (11), p.5724-5732

2009

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Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity

Computational mathematics and mathematical physics, 2015-03, Vol.55 (3), p.447-460

2015

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Blow-up in Nonlinear Sobolev Type Equations

Semi-Classical Models of Quantum Nanoplasmonics Based on the Discrete Source Method (Review)

Method for Analyzing the Influence of the Quantum Nonlocal Effect on the Characteristics of a Plasmonic Nanolaser

Discrete Source Method for the Study of Influence Nonlocality on Characteristics of the Plasmonic Nanolaser Resonators

Mathematical Model of Plasmon Nanolaser Resonator Taking the Non-Local Effect into Account

Discrete Sources Method to Solve Nonlocal Scattering Problems in Plasmonic Applications

Mathematical Model Taking into Account Nonlocal Effects of Plasmonic Structures on the Basis of the Discrete Source Method

Quantum Effects on Optical Properties of a Pair of Plasmonic Particles Separated by a Subnanometer Gap

The Mathematical Model of the Fluorescence Processes Accounting for the Quantum Effect of the Nonlocal Screening

Analysis of the Influence of the Nonlocality Effect on the Characteristics of Plasmon Nanolaser Resonators via the Discrete Sources Method

Generalized optical theorem to a multipole source excitation in the scattering theory

Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods

Influence of Non-Local Effect on the Scattering Properties of NonSpherical Plasmonic Nanoparticles on a Substrate

Analysis of the Influence of Longitudinal Fields on the Scattering Properties of Nonspherical Plasmonic Nanoparticle Clusters via the Discrete-Sources Method

Analysis method for the scattering properties of plasmonic particles on a substrate accounting for nonlocal effects

Generalization of the optical theorem for an arbitrary multipole in the presence of a transparent half-space

Generalization of the optical theorem to multipole sources in the scattering theory of electromagnetic waves

Optical theorem for multipole sources in wave diffraction theory

Near Field Formation via Colloid Particles in Problems of Nanoprocessing Silicon Substrates

Blow-up of solutions of nonlinear Sobolev type equations with cubic sources

Analyzing the effect of nonlocality on the scattering properties of a plasmonic nanocylinder using the discrete-source method

Estimating Integral Scattering Characteristics in a Point Emitter Field from Energy Relationships

Discrete source method for analysis of fluorescence enhancement in the presence of plasmonic structures

On blow up of generalized Kolmogorov–Petrovskii–Piskunov equation

Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity

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