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We study the existence of weak solution for the stationary Nordstr¨om-Vlasov equations in a bounded domain. The proof follows by fixed point method. The asymptotic behavior for large light speed is analyzed as well. We justify the convergence towards the stationary Vlasov-Poisson model for stellar dynamics.
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참고문헌 (25)
참고문헌 신청
A. Arsen’ev / 1975 / Global existence of a weak solution of the Vlasov system of equations / U.R.S.S. Comp. and Math. Phys. 15 : 131 ~ 143
C. Bardos / 1970 / Probl`emes aux limites pour les ´equations aux d´erivees partielles du premier ordre `a coefficients r´eels; th´eorem`es d’approximation; application
C. Greengard / 1990 / A boundary-value problem for the stationary Vlasov-Poisson equations: the plane diode / Comm. Pure Appl. Math. 43 (4) : 473 ~ 507
F. Bouchut / 2003 / Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system / Arch. Ration. Mech. Anal. 170 (1) : 1 ~ 15
H. Andr´easson / 2002 / The Einstein-Vlasov system/kinetic theory / Living Rev. Relativ. 5 : 33 ~
C. Bardos / 1970 / Probl`emes aux limites pour les ´equations aux d´erivees partielles du premier ordre `a coefficients r´eels; th´eorem`es d’approximation; application
C. Greengard / 1990 / A boundary-value problem for the stationary Vlasov-Poisson equations: the plane diode / Comm. Pure Appl. Math. 43 (4) : 473 ~ 507
F. Bouchut / 2003 / Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system / Arch. Ration. Mech. Anal. 170 (1) : 1 ~ 15
H. Andr´easson / 2002 / The Einstein-Vlasov system/kinetic theory / Living Rev. Relativ. 5 : 33 ~
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