Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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النتائج 1-3 من 9
الصفحة 150
... satisfies the estimate ( 12.29 ) and Q ± ( ƒ ) 1 + ƒ € L∞ ( R + ; L1 ( Rd × K ) ) ( 12.31 ) for any compact set K of Rd . and 2 ) B ( 5 ) B ′ ( ƒ ) Q ( ƒ ) _in_D ' ( R2d × R + ) ( მ V + § ⋅ ▽ 2 ) B ( ƒ ) = B ' ( ƒ ) Q ( ƒ ) _in at ...
... satisfies the estimate ( 12.29 ) and Q ± ( ƒ ) 1 + ƒ € L∞ ( R + ; L1 ( Rd × K ) ) ( 12.31 ) for any compact set K of Rd . and 2 ) B ( 5 ) B ′ ( ƒ ) Q ( ƒ ) _in_D ' ( R2d × R + ) ( მ V + § ⋅ ▽ 2 ) B ( ƒ ) = B ' ( ƒ ) Q ( ƒ ) _in at ...
الصفحة 154
... satisfies , in the distribution sense , a at fe + & • V2fe + Ee · V§ƒe = 0 , Ət Ee ( t , x ) = N N Σε ( π - π ; ( t ) ) j = 1 E - = √qaxaa Ɛ ( x − y ) fe ( t , y , § ) dydę . ( 13.10 ) ( 13.11 ) This is exactly the Vlasov Equation ...
... satisfies , in the distribution sense , a at fe + & • V2fe + Ee · V§ƒe = 0 , Ət Ee ( t , x ) = N N Σε ( π - π ; ( t ) ) j = 1 E - = √qaxaa Ɛ ( x − y ) fe ( t , y , § ) dydę . ( 13.10 ) ( 13.11 ) This is exactly the Vlasov Equation ...
الصفحة 155
... satisfies ( 13.13 ) and N N ΣΕ + ΣEi • V1.9N + ΣF ( t , x1 ) · Vε , 9N = 0 . дди Ət i = 1 i = 1 ( 13.14 ) The reason why ( 13.12 ) and ( 13.14 ) are close , which means in principle ƒN 9N , is that , as N → ∞ , - N √2nd | E ...
... satisfies ( 13.13 ) and N N ΣΕ + ΣEi • V1.9N + ΣF ( t , x1 ) · Vε , 9N = 0 . дди Ət i = 1 i = 1 ( 13.14 ) The reason why ( 13.12 ) and ( 13.14 ) are close , which means in principle ƒN 9N , is that , as N → ∞ , - N √2nd | E ...
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atomic species BBGKY hierarchy Boltzmann Equation Braginskii charge classical collision frequencies collision integrals collision operator collision terms collisional conservation equation Coulomb logarithms defined diffusion distribution function electric field electron-ion energy equation Enskog equal mass ions equation set equilibrium fluid equations Fokker-Planck Galilean invariance heat flux heavy ions hydrodynamic interaction interdiffusion ion species ionic Landau Lemma limit linear magnetic field Maxwellian distributions Maxwellian estimate mean velocity multi-fluid equations neutral plasma obtained Ohm's law particle Perthame perturbation calculation perturbation equations Phys Plasma Physics quantum Quantum Hydrodynamics Raß relative velocity scalar self-collision T₁ T₂ tensor Theorem thermal transport coefficients transport equations vector viscosity Vlasov Equation Wigner αα αβ Μα тв ть მა