Approximations of kinetic equations of swarm formation: Convergence and exact solutions

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126778 ◽

2022 ◽

Vol 417 ◽

pp. 126778

Author(s):

Mirosław Lachowicz ◽

Henryk Leszczyński ◽

Krzysztof A. Topolski

Keyword(s):

Exact Solutions ◽

Kinetic Equations ◽

Swarm Formation

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Exact solutions of kinetic equations in an autocatalytic growth model

Physical Review E ◽

10.1103/physreve.87.022132 ◽

2013 ◽

Vol 87 (2) ◽

Author(s):

Jakub Jędrak

Keyword(s):

Exact Solutions ◽

Growth Model ◽

Kinetic Equations ◽

Autocatalytic Growth

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On exact solutions to a discrete-velocity model of the extended kinetic equations

Il Nuovo Cimento B ◽

10.1007/bf02723124 ◽

1991 ◽

Vol 106 (1) ◽

pp. 9-20 ◽

Author(s):

S. Oggioni ◽

G. Spiga

Keyword(s):

Exact Solutions ◽

Kinetic Equations ◽

Velocity Model ◽

Discrete Velocity ◽

Discrete Velocity Model

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Exact Solutions of the Point Kinetic Equations without Feedback

Mathematical Methods in Nuclear Reactor Dynamics ◽

10.1016/b978-0-12-047150-8.50008-7 ◽

1971 ◽

pp. 88-115

Author(s):

Ziya Akcasu ◽

Gerald S. Lellouche ◽

Louis M. Shotkin

Keyword(s):

Exact Solutions ◽

Kinetic Equations

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Exact Solutions of the Kinetic Equations Governing Thermally Stimulated Luminescence and Conductivity

Physical Review B ◽

10.1103/physrevb.5.3370.5 ◽

1972 ◽

Vol 5 (8) ◽

pp. 3370-3370

Author(s):

Paul Kelly ◽

M. J. Laubitz ◽

Peter Bräunlich

Keyword(s):

Exact Solutions ◽

Kinetic Equations ◽

Thermally Stimulated Luminescence

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EXACT SOLUTIONS FOR KINETIC EQUATIONS OF DISCRETE AND SEMI-DISCRETE MODELS

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202593000321 ◽

1993 ◽

Vol 03 (05) ◽

pp. 655-664 ◽

Author(s):

DANG HONG TIEM

Keyword(s):

Exact Solutions ◽

Kinetic Equations ◽

Plane Shock Wave ◽

Discrete Models ◽

Plane Shock ◽

New Methods ◽

Shock Wave Structures

New methods are proposed to construct exact solutions for kinetic equations of discrete and semi-discrete models. They are applied to some particular models. The solutions so obtained are used to study the flows of the gas between two parallel planes and the plane shock wave structures.

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Exact Solutions of Hyperbolic Systems of Kinetic Equations. Application to Verhulst Model with Random Perturbation

Mathematics in Computer Science ◽

10.1007/s11786-007-0036-0 ◽

2008 ◽

Vol 1 (3) ◽

pp. 459-472 ◽

Author(s):

Elena I. Ganzha ◽

Valery M. Loginov ◽

Sergey P. Tsarev

Keyword(s):

Exact Solutions ◽

Hyperbolic Systems ◽

Random Perturbation ◽

Kinetic Equations ◽

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Exact Solutions of the Kinetic Equations Governing Thermally Stimulated Luminescence and Conductivity

Physical Review B ◽

10.1103/physrevb.4.1960 ◽

1971 ◽

Vol 4 (6) ◽

pp. 1960-1968 ◽

Author(s):

Paul Kelly ◽

M. J. Laubitz ◽

Peter Bräunlich

Keyword(s):

Exact Solutions ◽

Kinetic Equations ◽

Thermally Stimulated Luminescence

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New classes of exact solutions to general nonlinear diffusion-kinetic equations

Theoretical Foundations of Chemical Engineering ◽

10.1134/s0040579506060017 ◽

2006 ◽

Vol 40 (6) ◽

pp. 555-563 ◽

Author(s):

E. A. Vyaz’mina ◽

A. D. Polyanin

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Kinetic Equations ◽

Diffusion Kinetic

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Nonlinear Markov Processes and Kinetic Equations

10.1017/cbo9780511760303 ◽

2009 ◽

Author(s):

Vassili N. Kolokoltsov

Keyword(s):

Markov Processes ◽

Kinetic Equations ◽

Nonlinear Markov Processes

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On Kinetic Equations in Heavy-Ion Physics

Annales de Physique ◽

10.1051/anphys:199605002 ◽

1996 ◽

Vol 21 (5) ◽

pp. 461-502 ◽

Author(s):

E. Suraud

Keyword(s):

Kinetic Equations ◽

Heavy Ion ◽

Heavy Ion Physics

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