Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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النتائج 1-3 من 34
الصفحة 156
... given by : j f ) ( t . X ,. 5 ) = [ f ( t.2 , $ ) , j21 . Which indicates that ( j ) i = 1 f ) ~ [ [ f ( t , ri , $ i ) i = 1 as N → ∞ . This propery is called the propagation of chaos . 13.3 Boltzmann - Grad limit Roughly speaking ...
... given by : j f ) ( t . X ,. 5 ) = [ f ( t.2 , $ ) , j21 . Which indicates that ( j ) i = 1 f ) ~ [ [ f ( t , ri , $ i ) i = 1 as N → ∞ . This propery is called the propagation of chaos . 13.3 Boltzmann - Grad limit Roughly speaking ...
الصفحة 194
... given by : D ' ( Rd × [ 0 , T2 ) ) for T1 = 0 , D ' ( Rd × ( T1,0 ] ) for T2 = 0 , o ( v ) € C1 ( Rd ; R ) with ( € L ( Rd ) if the solution of ( 18.10 ) w ( x , v , t ) = n ( x , t ) 8 ( u ( x , t ) – v ) in Proof . 1 + 101 { D ' ( Rd ...
... given by : D ' ( Rd × [ 0 , T2 ) ) for T1 = 0 , D ' ( Rd × ( T1,0 ] ) for T2 = 0 , o ( v ) € C1 ( Rd ; R ) with ( € L ( Rd ) if the solution of ( 18.10 ) w ( x , v , t ) = n ( x , t ) 8 ( u ( x , t ) – v ) in Proof . 1 + 101 { D ' ( Rd ...
الصفحة 207
... given by : E ( Pn , Pp ) = 2 √ ( A1 ) 1 + ( A2 ) $ 2 12 + — 22 / IVV [ 141 12 - 112 12 - C ] | 2 , -- with −X2AV [ | 41 | 2 – | 42 | 2 – C ] = | 41 | 2 - | 2 | 2 – C , - V = 0 . We immediately verify that minimizing G in S is ...
... given by : E ( Pn , Pp ) = 2 √ ( A1 ) 1 + ( A2 ) $ 2 12 + — 22 / IVV [ 141 12 - 112 12 - C ] | 2 , -- with −X2AV [ | 41 | 2 – | 42 | 2 – C ] = | 41 | 2 - | 2 | 2 – C , - V = 0 . We immediately verify that minimizing G in S is ...
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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