Regularity criteria in terms of bounds for the pressure are derived for the 3D MHD equations in a bounded domain with slip boundary conditions.A list of three regularity criteria is shown.
The quasi-neutral limit of the multi-dimensional non-isentropic bipolar Euler-Poisson system is considered in the present paper. It is shown that for well-prepared initial data the smooth solution of the non-isentropi...The quasi-neutral limit of the multi-dimensional non-isentropic bipolar Euler-Poisson system is considered in the present paper. It is shown that for well-prepared initial data the smooth solution of the non-isentropic bipolar Euler-Poisson system converges strongly to the compressible non-isentropic Euler equations as the Debye length goes to zero.展开更多
基金J.Fan is partially supported by NSFC(No.11171154)Ju is supported by NSFC(Grant Nos.12071044,12131007).
文摘Regularity criteria in terms of bounds for the pressure are derived for the 3D MHD equations in a bounded domain with slip boundary conditions.A list of three regularity criteria is shown.
基金supported by National Natural Science Foundation of China(Grant No.40890154)National Basic Research Program(Grant No.2005CB321700)+5 种基金supported by National Natural Science Foundation of China(Grant No.10701011)supported by National Natural Science Foundation of China(Grant No.10431060)Beijing Nova Program,Program for New Century Excellent Talentsin University,Huo Ying Dong Foundation(Grant No.111033)supported by National Natural Science Foundation of China(Grant No.10901011)Beijing Municipal Natural Science Foundation(Grant No.1102009)Foundation for Talents of Beijing(Grant No.20081D0501500171)
文摘The quasi-neutral limit of the multi-dimensional non-isentropic bipolar Euler-Poisson system is considered in the present paper. It is shown that for well-prepared initial data the smooth solution of the non-isentropic bipolar Euler-Poisson system converges strongly to the compressible non-isentropic Euler equations as the Debye length goes to zero.
