Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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الصفحة 148
... initial data , have been proved recently by Di Perna and Lions [ 21 ] . A sim- plification of the proof is given in Lions [ 31 ] , [ 32 ] , [ 33 ] . We present , very roughly , the idea of the construction of renormalized solutions , as ...
... initial data , have been proved recently by Di Perna and Lions [ 21 ] . A sim- plification of the proof is given in Lions [ 31 ] , [ 32 ] , [ 33 ] . We present , very roughly , the idea of the construction of renormalized solutions , as ...
الصفحة 154
... initial data fo converge ( weakly in measures ) to a " smoother " function fo € L1 ( R2d ) , then ƒ € L∞ ( R + : L1 ... initial data N - ƒn ( t = 0 , XN . ( N ) = [ ] ó ( x ; − xo ) 8 ( § ; − §i ) i = 1 1 ( 13.12 ) - ( x0,80 are the ...
... initial data fo converge ( weakly in measures ) to a " smoother " function fo € L1 ( R2d ) , then ƒ € L∞ ( R + : L1 ... initial data N - ƒn ( t = 0 , XN . ( N ) = [ ] ó ( x ; − xo ) 8 ( § ; − §i ) i = 1 1 ( 13.12 ) - ( x0,80 are the ...
الصفحة 193
... initial conditions nå and Ji , associated to general initial Wigner function wf , we assume e independent initial data : nj = n¡ € L1 ( R ) , Si = S1 € W ( R ) . Then the limits wi , ui , and r¡ are given by : w1 = n ( x ) d ( v - VS1 ...
... initial conditions nå and Ji , associated to general initial Wigner function wf , we assume e independent initial data : nj = n¡ € L1 ( R ) , Si = S1 € W ( R ) . Then the limits wi , ui , and r¡ are given by : w1 = n ( x ) d ( v - VS1 ...
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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