Modeling of CollisionsGauthier-Villars, 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 207
... Existence and Uniqueness of the Thermal Equilib- rium Solution Given ɛ , > 0 ( and therefore 7 > 0 ) the existence result is : η Theorem 20.1 Assume B1 , B2 . Then for all 20 Bipolar Thermal Equilibrium ... 207 Existence and uniqueness ...
... Existence and Uniqueness of the Thermal Equilib- rium Solution Given ɛ , > 0 ( and therefore 7 > 0 ) the existence result is : η Theorem 20.1 Assume B1 , B2 . Then for all 20 Bipolar Thermal Equilibrium ... 207 Existence and uniqueness ...
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appear approximation assumed atomic average Boltzmann Equation calculation chapter charge classical close collision frequencies collision terms collisional computed conservation consider correct Coulomb logarithms coupled defined density depend developed diffusion distribution function effect electrons energy equal equilibrium estimate existence expressions finally fluid flux formula frame given gives heat heavy hydrodynamic integrals interaction ion species ionic kinetic light limit linear mass Maxwellian mean mean velocity momentum multi-fluid neutral Note numerical obtained operator parameter particle particular perturbation perturbation equations Phys physics plasma pressure problem properties quantities quantum quantum mechanical reduced reference relations relative satisfies scalar single solution solved temperature tensor theory thermal transport coefficients transport equations vector αβ Μα