Krook M, Wu TT (1977) Exact solutions of the Boltzmann equation. Phys Fluids 20:1589-1595Bobylev AV (1976) Exact solutions of the Boltzmann equation. Soviet Phys Dokl 20:822-824A. V. Bobylev, "Exact solutions of the Boltzmann equation," Dokl. Akad. Nauk SSSR 225 (6) (1975)....
V. Exact solutions of the Boltzmann equation. Dokl. Akad. Nauk SSSR 225, 6 (1975), 1296-1299.Cornille, H. Exact solutions of the Boltzmann equation. In: Conte, R., Boccara, N. eds. (1990) Partially Integrable Evolution Equations. Kluwer Academic Pubs., Amsterdam, pp. 39-39...
Exact solutions of the Boltzmann equation The nonlinear Boltzmann equation for the relaxation to equilibrium of a homogeneous one-component gas, is considered for a class of collision models. The m... M Krook,TT Wu - 《Physics of Fluids》 被引量: 336发表: 1977年 Moment Inequalities and High...
It is briefly shown how the multipole expansion formalism can also be applied in the Poisson-Boltzmann approximation for primitive model electrolytes... R Ramirez,R Kjellander - 《Journal of Chemical Physics》 被引量: 25发表: 2006年 Theory for surface structure of dilute electrolyte solutions Final...
We present an efficient ab initio approach for the study of magnetic transport properties based on the Boltzmann equation with the Wannier interpolation scheme. Within the relaxation-time approximation, band-resolved electric conductivity under a finite magnetic field is obtained and the historical motion...
extremaatlargescalesofotherone-dimensionallandscapes.Foralargeclassofmodelswegive exactsolutionsobtainedeitherbytheuseofconstrainedpath-integralsinthecontinuumlimit,or bysolvingtheRSRGequationsviaanAnsatzwhichleadstotheLiouvilleequation.Weapplyin particularourresultstothetoymodelenergylandscape,whichconsistsinaquadraticpo...
A new method of solving LB kinetic equations which combines the method of moments with boundary conditions for populations enables us to derive closed-form solutions for all higher-order moments. A convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to...
摘要: Exact and almost exact solutions to the Vlasov–Maxwell systems describing a variety of plasma configurations with density, temperature, and current gradients are presented. Possible consequences of these solutions are also discussed.关键词: plasma physics and fusion technology collisionless plasma ...
Whittaker’s functions are two advanced expressions in the field of mathematics. They are special solutions to a class of second-order linear differential equations known as the Whittaker differential equation. These functions are used in various areas of mathematical physics, particularly in quantum me...
Exact similarity solutions for nonlinear particle transport in a host mediumTheoretical or Mathematical/ Boltzmann equationnonlinear differential equationspartial differential equations/ nonlinear particle transporthost mediumhomogeneous Boltzmann equationmoment equations...