Modeling of CollisionsEditions Scientifiques et Medicales Elsevier, 1998 - 222 من الصفحات |
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الصفحة 144
... Lemma 12.1 ( ii ) , we have T2 = f'f . By de ' de dw . 3dx RdxSd - 1 And changing the notation ( ' , ) to ( E , E. ) , then § is changed into ' thanks to Lemma 12.1 ( i ) . Therefore ( we again use ( 12.7 ) ) T2 2 = √24 / 2458 11. B'de ...
... Lemma 12.1 ( ii ) , we have T2 = f'f . By de ' de dw . 3dx RdxSd - 1 And changing the notation ( ' , ) to ( E , E. ) , then § is changed into ' thanks to Lemma 12.1 ( i ) . Therefore ( we again use ( 12.7 ) ) T2 2 = √24 / 2458 11. B'de ...
الصفحة 196
... Lemma 18.4 2r ( · , t ) ≥ u ( · , t ) & u ( · , t ) n ( , t ) -a.e . in the sense of positive semidefinite symmetric matrices . Obviously , Lemma 18.4 allows the introduction of a positive semidefinite temperature tensor T : 2r ( x , t ) ...
... Lemma 18.4 2r ( · , t ) ≥ u ( · , t ) & u ( · , t ) n ( , t ) -a.e . in the sense of positive semidefinite symmetric matrices . Obviously , Lemma 18.4 allows the introduction of a positive semidefinite temperature tensor T : 2r ( x , t ) ...
الصفحة 212
... Lemma 20.3 Let C Rd , de N , be a bounded domain and let G : [ 0 , ∞ ) → R be locally strictly conver , i.e. for ... Lemma 20.3 is the core of the proof of nox дол Theorem 20.3 Assume B1 , B2 . For >> 0 let ( no1 , po1 ) be the unique ...
... Lemma 20.3 Let C Rd , de N , be a bounded domain and let G : [ 0 , ∞ ) → R be locally strictly conver , i.e. for ... Lemma 20.3 is the core of the proof of nox дол Theorem 20.3 Assume B1 , B2 . For >> 0 let ( no1 , po1 ) be the unique ...
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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