Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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الصفحة 20
... equations , we let appear the pressure and the energy density of the ideal gas equation of state : P = nT , E = 3 žnT . The equation set determines the time evolution of p , ca , u , Ei , Ɛe and B. We bring out the " material derivative ...
... equations , we let appear the pressure and the energy density of the ideal gas equation of state : P = nT , E = 3 žnT . The equation set determines the time evolution of p , ca , u , Ei , Ɛe and B. We bring out the " material derivative ...
الصفحة 21
... energy conservation equation can be deduced : a Ee E i E2 + ε ; + { pu2 ) Ət Ee 1 ' ( E2 + & , + 1⁄2 pu2 ) u + ( Ƒe ... equation in the set gives the magnetic field time evolution : ав Ət = -cV x E , V.B = 0 , whence the magnetic energy ...
... energy conservation equation can be deduced : a Ee E i E2 + ε ; + { pu2 ) Ət Ee 1 ' ( E2 + & , + 1⁄2 pu2 ) u + ( Ƒe ... equation in the set gives the magnetic field time evolution : ав Ət = -cV x E , V.B = 0 , whence the magnetic energy ...
الصفحة 219
... equation , 141 , 179 Boltzmann hierarchy , 158 Boltzmann - Grad limit , 152 ... energy , 10 , 14 , 18 , 21 , 51 , 52 , 94 , 106 , 128 conservation momentum ... equation , 187 Coulomb logarithm , 23 , 44 , 65 , 73 , 116 , 121 , 122 , 126 ...
... equation , 141 , 179 Boltzmann hierarchy , 158 Boltzmann - Grad limit , 152 ... energy , 10 , 14 , 18 , 21 , 51 , 52 , 94 , 106 , 128 conservation momentum ... equation , 187 Coulomb logarithm , 23 , 44 , 65 , 73 , 116 , 121 , 122 , 126 ...
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atomic species BBGKY hierarchy Boltzmann Equation Braginskii charge classical collision frequencies collision integrals collision operator collision terms collisional conservation equation Coulomb logarithms defined diffusion distribution function electric field electron-ion energy equation Enskog equal mass ions equation set equilibrium fluid equations Fokker-Planck Galilean invariance heat flux heavy ions hydrodynamic interaction interdiffusion ion species ionic Landau Lemma limit linear magnetic field Maxwellian distributions Maxwellian estimate mean velocity multi-fluid equations neutral plasma obtained Ohm's law particle Perthame perturbation calculation perturbation equations Phys Plasma Physics quantum Quantum Hydrodynamics Raß relative velocity scalar self-collision T₁ T₂ tensor Theorem thermal transport coefficients transport equations vector viscosity Vlasov Equation Wigner αα αβ Μα тв ть მა