ИСТИНА

In this talk I will review our latest progress in the modeling of the solar/stellar wind interaction with the local interstellar medium. The 3D kinetic-MHD models take into account multi-component nature of both the interstellar medium and solar/stellar winds, stellar and interstellar magnetic fields, latitudinal and time-variations of the stellar parameters, supratermal particles and interstellar dust. The effects of the azimuthal stellar magnetic field on the global astrospheric structure will be discussed and peculiarities in the distribution of the interstellar dust in astrospheres will be discussed in particular.