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Cited article:

Evolution of a particulate ensemble with fluctuations in particle growth rates

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To the Theory of Crystal System Growth in Supercooled/Supersaturated Liquids

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An exact analytical solution to the nonstationary coagulation equation describing the endosomal network dynamics

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Mathematical Methods in the Applied Sciences 47 (8) 6746 (2024)
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Towards a theory of growth of a crystal system in supercooled/supersaturated liquids

E. V. Makoveeva, I. E. Koroznikova, A. E. Glebova, A. A. Ivanov, M. A. Nikishina, L. V. Toropova and D. V. Alexandrov
Расплавы (1) 36 (2024)
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The growth of ellipsoidal crystals in supercooled and supersaturated liquids

Margarita A. Nikishina and Dmitri V. Alexandrov
The European Physical Journal Special Topics 232 (8) 1189 (2023)
https://doi.org/10.1140/epjs/s11734-023-00819-3

Two-step nucleation and crystal growth in a metastable solution

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Journal of Applied Physics 134 (23) (2023)
https://doi.org/10.1063/5.0173801

Desupersaturation dynamics in solutions with applications to bovine and porcine insulin crystallization

E V Makoveeva, D V Alexandrov, A A Ivanov and I V Alexandrova
Journal of Physics A: Mathematical and Theoretical 56 (45) 455702 (2023)
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A complete analytical solution of unsteady coagulation equations and transition between the intermediate and concluding stages of a phase transformation

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The European Physical Journal Special Topics 231 (6) 1115 (2022)
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Growth of spherical and ellipsoidal crystals in a metastable liquid

Irina V. Alexandrova, Alexander A. Ivanov, Alexey P. Malygin, Dmitri V. Alexandrov and Margarita A. Nikishina
The European Physical Journal Special Topics 231 (6) 1089 (2022)
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Analytical solution of integro‐differential equations describing the process of intense boiling of a superheated liquid

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Mathematical Methods in the Applied Sciences 45 (13) 7954 (2022)
https://doi.org/10.1002/mma.7560

Approximate analytical solution of the integro‐differential model of bulk crystallization in a metastable liquid with mass supply (heat dissipation) and crystal withdrawal mechanism

Irina G. Nizovtseva, Alexander A. Ivanov and Irina V. Alexandrova
Mathematical Methods in the Applied Sciences 45 (13) 8170 (2022)
https://doi.org/10.1002/mma.8112

Nucleation and growth of ellipsoidal crystals in a supercooled binary melt

M A Nikishina and D V Alexandrov
Journal of Physics A: Mathematical and Theoretical 55 (25) 255701 (2022)
https://doi.org/10.1088/1751-8121/ac6f9c

A complete analytical solution to the integro‐differential model describing the nucleation and evolution of ellipsoidal particles

Margarita A. Nikishina and Dmitri V. Alexandrov
Mathematical Methods in the Applied Sciences 45 (13) 8032 (2022)
https://doi.org/10.1002/mma.7927

Nucleation and growth dynamics of ellipsoidal crystals in metastable liquids

Margarita A. Nikishina and Dmitri V. Alexandrov
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379 (2205) 20200306 (2021)
https://doi.org/10.1098/rsta.2020.0306

Mathematical modeling of crystallization process from a supercooled binary melt

Eugenya Makoveeva, Dmitri Alexandrov and Alexander Ivanov
Mathematical Methods in the Applied Sciences 44 (16) 12244 (2021)
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Mathematical modeling of the growth of ellipsoidal crystals in metastable melts and solutions

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Mathematical Methods in the Applied Sciences 44 (16) 12252 (2021)
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The influence of non-stationarity and interphase curvature on the growth dynamics of spherical crystals in a metastable liquid

Eugenya V. Makoveeva and Dmitri V. Alexandrov
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379 (2205) 20200307 (2021)
https://doi.org/10.1098/rsta.2020.0307

Nonlinear dynamics of polydisperse assemblages of particles evolving in metastable media

Dmitri V. Alexandrov
The European Physical Journal Special Topics 229 (2-3) 383 (2020)
https://doi.org/10.1140/epjst/e2019-900049-4

Kinetics of the intermediate stage of phase transition with elliptical crystals

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The European Physical Journal Special Topics 229 (19-20) 2937 (2020)
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Unsteady-state particle-size distributions at the coagulation stage of phase transformations

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The European Physical Journal Special Topics 228 (1) 161 (2019)
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On the theory of crystal growth in metastable systems with biomedical applications: protein and insulin crystallization

Dmitri V. Alexandrov and Irina G. Nizovtseva
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377 (2143) 20180214 (2019)
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On the Theory of the Nonstationary Spherical Crystal Growth in Supercooled Melts and Supersaturated Solutions

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Russian Metallurgy (Metally) 2019 (8) 787 (2019)
https://doi.org/10.1134/S0036029519080020

An analytical solution to the nonlinear evolutionary equations for nucleation and growth of particles

E. V. Makoveeva and D. V. Alexandrov
Philosophical Magazine Letters 98 (5) 199 (2018)
https://doi.org/10.1080/09500839.2018.1522459

A complete analytical solution of the Fokker–Planck and balance equations for nucleation and growth of crystals

Eugenya V. Makoveeva and Dmitri V. Alexandrov
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 (2113) 20170327 (2018)
https://doi.org/10.1098/rsta.2017.0327

A transient distribution of particle assemblies at the concluding stage of phase transformations

D. V. Alexandrov
Journal of Materials Science 52 (12) 6987 (2017)
https://doi.org/10.1007/s10853-017-0931-y