Modeling of CollisionsEditions Scientifiques et Medicales Elsevier, 1998 - 222 من الصفحات |
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الصفحة 148
... existence of global solutions to the Boltzmann Equation , with large initial data , have been proved recently by Di Perna and Lions [ 21 ] . A sim- plification of the proof is given in Lions [ 31 ] , [ 32 ] , [ 33 ] . We present , very ...
... existence of global solutions to the Boltzmann Equation , with large initial data , have been proved recently by Di Perna and Lions [ 21 ] . A sim- plification of the proof is given in Lions [ 31 ] , [ 32 ] , [ 33 ] . We present , very ...
الصفحة 175
... existence and weak stability , Ann . Math . 130 ( 1989 ) 321–366 . [ 22 ] Esteban M.J. , Perthame B. , On the modified Enskog equation for elastic and inelastic collisions , Models with spin . Ann . Inst . Henri - Poincaré , Anal ...
... existence and weak stability , Ann . Math . 130 ( 1989 ) 321–366 . [ 22 ] Esteban M.J. , Perthame B. , On the modified Enskog equation for elastic and inelastic collisions , Models with spin . Ann . Inst . Henri - Poincaré , Anal ...
الصفحة 190
... existence result : Lemma 18.1 Let vi Є H1 ( Rd ) , Vnî € L1 ( Rd ) , and ( 18.1 ) hold . Then there exists a solution of the QHD - equations : ε2 ni + div Jε = 0 , ( 18.7a ) J ; + div [ 3 , J2 ] + + ne VV - ηε with initial conditions ...
... existence result : Lemma 18.1 Let vi Є H1 ( Rd ) , Vnî € L1 ( Rd ) , and ( 18.1 ) hold . Then there exists a solution of the QHD - equations : ε2 ni + div Jε = 0 , ( 18.7a ) J ; + div [ 3 , J2 ] + + ne VV - ηε with initial conditions ...
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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