• on the uniqueness of weak solutions for the 3d viscous magneto-hydrodynamic equations

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 309
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -

    on the uniqueness of weak solutions for the 3d viscous magneto-hydrodynamic equations

     

    a uniqueness result of weak solutions for the 3d viscous magneto-hydrodynamic equations is proved by means of the fourier localization technique and bony’s paraproduct decomposition. because of the similarity of the structure, most of the regularity and uniqueness criteria for navier–stokes equations can be extended to mhd equations. wu [9,10] extended some serrin-type criteria for the navier–stokes equations to the mhd equations by imposing conditions on both the velocity field u and the magnetic field b. however, some numerical experiments [11] seem to indicate that the velocity field plays the more important role than the magnetic field in the regularity theory of solutions to the mhd equations. recently, he and xin [12], and zhou [13] have proved some regularity criteria to the mhd equations which do not impose any condition on the magnetic field b.

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