Details

Autor(en) / Beteiligte

• Zhao, Jihong
• Deng, Chao
• Cui, Shangbin

Titel

Global well-posedness of a dissipative system arising in electrohydrodynamics in negative-order Besov spaces

Ist Teil von

• Journal of mathematical physics, 2010-09, Vol.51 (9), p.093101-093101-17

Ort / Verlag

Melville, NY: American Institute of Physics

Erscheinungsjahr

2010

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper we study the Navier–Stokes–Nernst–Planck–Poisson system arising from electrohydrodynamics. Global well-posedness of this system for small initial-data is proven in negative-order Besov spaces. As a corollary to this result, we obtain the existence of self-similar solutions to this system. Asymptotic stability of self-similar solutions as time goes to infinity is also proven.