Modeling of CollisionsEditions Scientifiques et Medicales Elsevier, 1998 - 222 من الصفحات |
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الصفحة 64
... Collision operators ( 4-18 ) can be written as 1 д 6C12 = 3√ #navab { Ao ( 1 ) + Bo ( ) } SCO ab w2 aw пь ( including ab case ) , where Ao and Bo are " universal " operators . Ao is a differential operator Emom a y Ao ( 4 ) = ພ до фт ...
... Collision operators ( 4-18 ) can be written as 1 д 6C12 = 3√ #navab { Ao ( 1 ) + Bo ( ) } SCO ab w2 aw пь ( including ab case ) , where Ao and Bo are " universal " operators . Ao is a differential operator Emom a y Ao ( 4 ) = ພ до фт ...
الصفحة 143
... collision invariants ( i.e. the functions satisfying +4 = 4 ' + 6m ) are given by : ❤ ( § ) = a + b · § + c | § | 2 , a ... operator . 12.2 H - Theorem and conservation laws The results of Lemma 12.1 on the collision process give the ...
... collision invariants ( i.e. the functions satisfying +4 = 4 ' + 6m ) are given by : ❤ ( § ) = a + b · § + c | § | 2 , a ... operator . 12.2 H - Theorem and conservation laws The results of Lemma 12.1 on the collision process give the ...
الصفحة 171
... collision operator . We obtain ƏtU + div F ( U ) = lim / K ( E ) Qe ( fe ) - Q ( Se ) d £ . - dε . ( 15.19 ) રત Ε Indeed , the limiting operator Q of Qe is just a variant of the Boltzmann collision operator , and it vanishes when ...
... collision operator . We obtain ƏtU + div F ( U ) = lim / K ( E ) Qe ( fe ) - Q ( Se ) d £ . - dε . ( 15.19 ) રત Ε Indeed , the limiting operator Q of Qe is just a variant of the Boltzmann collision operator , and it vanishes when ...
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atomic species average ion Boltzmann Equation Braginskii charge collision frequencies collision integrals collisional conservation equations Coulomb logarithms defined density different masses diffusion distribution function electric field electron-ion energy equation equal mass ions equation set equations 1-2 equilibrium fluid equations Fokker-Planck Galilean invariance gradient heat flux heavy ions hydrodynamics interaction interdiffusion ion species ionic Landau's Lemma limit linear magnetic field Maxwellian distributions Maxwellian estimate mean free paths mean velocity momentum and energy multi-fluid equations neutral plasma Ohm's law Onsager symmetry perturbation calculation perturbation equations Phys plasma oscillations plasma physics quantum Raß relative velocities scalar second order solution temperature equalization tensor thermal transport coefficients transport equations U₂ uncoupling vector viscosity Yaß αα αβ βα Μα тв ть მა