Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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الصفحة 136
... solution of Landau's kinetic equation . Zh . Vychisl . Mat . & Mat . Fiz . , 16 , 407-416 , 1976. [ USSR Comput . Math . & Math . Phys . 16 , 121-130 ( 1976 ) ] . [ 38 ] A. Bruce Langdon . Conservative differencing of the Fokker ...
... solution of Landau's kinetic equation . Zh . Vychisl . Mat . & Mat . Fiz . , 16 , 407-416 , 1976. [ USSR Comput . Math . & Math . Phys . 16 , 121-130 ( 1976 ) ] . [ 38 ] A. Bruce Langdon . Conservative differencing of the Fokker ...
الصفحة 194
... solution of ( 18.10 ) w ( x , v , t ) = n ( x , t ) 8 ( u ( x , t ) – v ) in Proof . 1 + 101 { D ' ( Rd × ( T1 , T2 ) ) for T1 < 0 < T2 , D ' ( R × [ 0 , T2 ) ) for T1 = 0 , D ' ( Rd × ( T1,0 ] ) for T2 = 0 . = ( 18.19 ) Assume that T1 ...
... solution of ( 18.10 ) w ( x , v , t ) = n ( x , t ) 8 ( u ( x , t ) – v ) in Proof . 1 + 101 { D ' ( Rd × ( T1 , T2 ) ) for T1 < 0 < T2 , D ' ( R × [ 0 , T2 ) ) for T1 = 0 , D ' ( Rd × ( T1,0 ] ) for T2 = 0 . = ( 18.19 ) Assume that T1 ...
الصفحة 199
... solution of this example is a renormalized solution in the sense of Theorem 18.1 . This follows from the fact that for T1 = ( -1 , 0 ) , T2 € ( 2 , 3 ) , w Є Ċα ( R2 × ( T1 , T2 ) ) , σ ( v ) as in Theorem 18.1 we have : T2 - { o ( u ) ...
... solution of this example is a renormalized solution in the sense of Theorem 18.1 . This follows from the fact that for T1 = ( -1 , 0 ) , T2 € ( 2 , 3 ) , w Є Ċα ( R2 × ( T1 , T2 ) ) , σ ( v ) as in Theorem 18.1 we have : T2 - { o ( u ) ...
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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