Modeling of CollisionsEditions Scientifiques et Medicales Elsevier, 1998 - 222 من الصفحات |
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الصفحة 194
... Theorem 18.1 Let -x≤ T1≤0≤T2≤∞ . Then n & Cь ( Rt ; M + ( Rd ) w- * ) , u € L∞ ( Rt ; L1 ( Ra ; dn ( t ) ) d ) ... Theorem 18.1 ) . Theorem 18.1 yields : Corollary 18.1 Let us Є C ( Rd ) and let -∞ ≤ T1 ≤ 0 be an interval on which ...
... Theorem 18.1 Let -x≤ T1≤0≤T2≤∞ . Then n & Cь ( Rt ; M + ( Rd ) w- * ) , u € L∞ ( Rt ; L1 ( Ra ; dn ( t ) ) d ) ... Theorem 18.1 ) . Theorem 18.1 yields : Corollary 18.1 Let us Є C ( Rd ) and let -∞ ≤ T1 ≤ 0 be an interval on which ...
الصفحة 203
... Theorem 19.1 Assume A1 , A2 , A3 . Then for j = 1 , 2 , 3 : a ) the functional E has a minimizer in C , b ) there exist E ; R ( in fact , E2 solves ( 19.3 ) , = E3 = 0 ) , such that the pair ( Ej , 1 ) c ) the minimizers i , v are ...
... Theorem 19.1 Assume A1 , A2 , A3 . Then for j = 1 , 2 , 3 : a ) the functional E has a minimizer in C , b ) there exist E ; R ( in fact , E2 solves ( 19.3 ) , = E3 = 0 ) , such that the pair ( Ej , 1 ) c ) the minimizers i , v are ...
الصفحة 212
... Theorem 20.1 and Theorem 20.2 . There are however uniform estimates on no log no , Sapor So no1 log no1 , So p0 log p0 avail- able so the following compactness - by - convexity argument applies : Lemma 20.3 Let C Rd , de N , be a ...
... Theorem 20.1 and Theorem 20.2 . There are however uniform estimates on no log no , Sapor So no1 log no1 , So p0 log p0 avail- able so the following compactness - by - convexity argument applies : Lemma 20.3 Let C Rd , de N , be a ...
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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