English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we mainly study the global wellposedness for the n -dimensional homogeneous and nonhomogeneous incompressible magnetohydrodynamic equations in the critical Besov spaces. By fully using the advantage of weighted function generated by heat kernel and Fourier localization technique, we first get the global wellposedness for the homogeneous incompressible MHD equations with initial data under a nonlinear smallness hypothesis. It is amazing that we can exhibit an initial data satisfying that nonlinear smallness assumption, despite each component of the initial data could be arbitrarily large. Then, as an application of our global well-posedness, we also extend our result to the inhomogeneous incompressible MHD equations.

Global wellposedness to the incompressible MHD equations with some large initial data