Group properties of equations of the kinetic theory of coagulation

DOI10.1134/S0021894419020160zbMath1421.35365OpenAlexW2948666289WikidataQ127779435 ScholiaQ127779435MaRDI QIDQ2319786

Yanyan Li

Publication date: 20 August 2019

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0021894419020160

zbMATH Keywords

Laplace transformSmoluchowski equationinvariant solutionsgroup analysispower moments

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Laplace transform (44A10) General properties and structure of complex Lie groups (22E10) Integro-partial differential equations (35R09) PDEs in connection with statistical mechanics (35Q82)

Uses Software

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Cites Work

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• Application of the similarity method to the nonlinear Boltzmann equation
• Symmetries of integro-differential equations. With applications in mechanics and plasma physics
• A method for computing symmetries and conservation laws of integro-differential equations
• Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering
• Exact solutions of the Boltzmann equation
• Group analysis of kinetic equations
• Rigorous Results in the Scaling Theory of Irreversible Aggregation Kinetics

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