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Список публикаций
2024
A. V. Bobylev, “Boltzmann-type kinetic equations and discrete models”
УМН, 79, No. 3. 93–148 (2024)
A. Bouchnita and V. Volpert, “Intraplatelet calcium signaling regulates thrombus growth under flow: insights from a multiscale model”
Computation, 12, No. 5, 99 (2024)
J. Földes and A. Shirikyan, “Rayleigh–Bénard convection with stochastic forcing localised near the bottom”
J. Dyn. Diff. Equat. (2024)
R. D. Karamyan and A. L. Skubachevskii, “Spectral properties of the fourth order differential operator with integral conditions”
Lobachevskii J. Math., 45, No. 4, 1404–1420 (2024)
A.B. Muravnik and G.L. Rossovskii, “Cauchy problem with summable initial-value functions for parabolic equations with translated potentials”
Mathematics, 12, 895 (2024)
A. Piatnitski, V. Sloushch, T. Suslina et al., “On the Homogenization of Nonlocal Convolution Type operators”
Russ. J. Math. Phys., 31, 137–145 (2024)
M. Saade, S. Ghosh, M. Banerjee, and V. Volpert, “Delay epidemic models determined by latency, infection, and immunity duration”
Mathematical Biosciences, No. 370, 109155 (2024)
2023
N.M. Bessonov, G.A. Bocharov, D.A. Neverova, and V. Volpert, "Modeling immunodominance in the B-cell response to viral infection"
Мath. Mech. Complex Syst., 11, No. 2, 175–202 (2023)
N. Bessonov, D. Neverova, V. Popov, and V. Volpert, “Emergence and competition of virus variants in respiratory viral infections”
Front. Immunol., 13, 945228 (2023)
A.V. Dymov, S.B. Kuksin, A. Maiocchi, and S.G. Vladuts, “A refinement of Heath–Brown’s theorem on quadratic forms”
Sb. Math., 214, No. 5, 627–675 (2023)
A. Dymov, S. Kuksin, A. Maiocchi, and S. Vladut¸ “The large-period limit for equations of discrete turbulence”
Ann. Henri Poincare, 24, 3685–3739 (2023)
P. Gao and S.B. Kuksin, “Weak and strong versions of the Kolmogorov 4/5-law for stochastic Burgers equation”
Arch. Rational Mech. Anal., 247, 109 (2023)
G. Huang and S.B. Kuksin, “Averaging and mixing for stochastic perturbations of linear conservative systems”
Russ. Math. Surv., 78, No. 4, 585–633 (2023)
G.G. Lazareva, A.S. Arakcheev, and V.A. Popov, “Mathematical modeling of melting tungsten exposed to pulsed laser beam”
Dokl. Math., 107, No. 7, 83–87 (2023)
G.G. Lazareva, I.P. Oksogoeva, and A.V. Sudnikov, “Influence of mathematical model parameters on plasma transfer in a helical magnetic field”
J. Appl. Industr. Math., 17, No. 4, 750–759 (2023)
C. Leon, A. Tokarev, A. Bouchnita, and V. Volpert, “Modelling of the innate and adaptive immune response to SARS viral infection, cytokine storm and vaccination”
Vaccines, 11, No. 1, 127 (2023)
A. Mikelic and A. Piatnitski, “Homogenization of the linearized ionic transport equations in random porous media”
Nonlinearity, 36, 3835–3865 (2023)
A. Mozokhina, “Modelling of the immune response to viral infection”
Comput. Sci. Math. Forum, 7, No. 1, 4 (2023)
A. Piatnitski, A. Shamaev, and E. Zhizhina, “Mathematical multi-scale model of water purification”
Math. Methods Appl. Sci., 46, No. 17, 18185–18202 (2023)
O.V. Solonukha, “On the solvability of nonlinear parabolic functional-differential equations with shifts in the spatial variables”
Math. Notes, 113, 708–722 (2023)
O. Solonukha, “On solvability of parabolic equations with essentially nonlinear differential-difference operators”
Sib. Math. J., 64, No. 5, 1236–1259 (2023)
V. Volpert, “Functional properties of morphological networks. Comment on «Networks behind the morphology and structural design of living systems» by Marko Gosak et al.”
Phys. Life Rev., 44, 58–60 (2023)
R.Yu. Vorotnikov and A.L. Skubachevskii, “Smoothness of generalized eigenfunctions of differential–difference operators on a finite interval”
Math. Notes, 114, 1002–1020 (2023)
А.В. Бобылев, “Об одном свойстве дискретных моделей волнового кинетического уравнения”
УМН, 78, № 5, 179–180 (2023)
А.В. Бобылев, С.Б. Куксин, “Уравнение Больцмана и волновые кинетические уравнения”
Препринты ИПМ им. М.В. Келдыша, 31, № 20 (2023)
А. Джурджевак, А.Р. Ширикян, “Экспоненциальная устойчивость потока обобщенного уравнения Бюргерса на окружности”
Соврем. мат. Фундам. направл., 69, № 4, 588–598 (2023)
Г.Г. Лазарева, И.П. Оксогоева, А.В. Судников, “Математическое моделирование переноса плазмы в винтовом магнитном поле”
Докл. РАН, 514, 122–127 (2023)
А.Л. Тасевич, “Гладкость обобщенных решений задачи Дирихле для сильно эллиптических функционально-дифференциальных уравнений с ортотропными сжатиями на границе соседних подобластей”
Соврем. мат. Фундам. направл., 69, № 1, 152–165 (2023)
2022
A. Dymov and S.B. Kuksin, “Formal expansions in stochastic model for wave turbulence 2: method of diagram decomposition”
J. Stat. Phys., 190, 3 (2022)
S. Ghosh, V. Volpert, and M. Banerjee, “An epidemic model with time delay determined by the disease duration”
Mathematics, 10, No. 15, 2561 (2022)
G. Huang and S. Kuksin, “On averaging and mixing for stochastic PDEs”
J. Dyn. Differ. Equ. (2022)
N.O. Ivanov, “On generalized solutions of the first boundary value problem for differential-difference equations with variable coefficients”
Lobachevskii J. Math., 43, No. 10, 2424–2438 (2022)
G.G. Lazareva, I.P. Oksogoeva, and A.V. Sudnikov, “Mathematical modeling of plasma transport in a helical magnetic field”
Lobachevskii J. Math., 43, No. 10, 2449–2455 (2022)
V.V. Liiko, “Mixed boundary value problems for strongly elliptic differential–difference equations in a bounded domain”
Differ. Equ., 58, No. 9, 1211–1216 (2022)
A.S. Mozokhina, V.A. Volpert, A.A. Tokarev, and M.A.Latifa, “The influence of immune response on spreading of viral infection”
Lobachevskii J. Math., 43, No. 10, 2463–2476 (2022)