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

We study an initial-boundary value problem of three-dimensional (3D)compressible isentropic magneto-micropolar fluid equations with Coulomb forceand slip boundary conditions in a bounded simply connected domain, whoseboundary has a finite number of two-dimensional connected components. We derivethe global existence and uniqueness of classical solutions provided that theinitial total energy is suitably small. Our result generalizes the Cauchyproblems of compressible Navier-Stokes equations with Coulomb force (J.Differential Equations 269: 8468--8508, 2020) and compressible MHD equations(SIAM J. Math. Anal. 45: 1356--1387, 2013) to the case of bounded domainsalthough tackling many surface integrals caused by the slip boundary conditionare complex. The main ingredient of this paper is to overcome the strongnonlinearity caused by Coulomb force, magnetic field, and rotation effect ofmicro-particles by applying piecewise-estimate method and delicate analysisbased on the effective viscous fluxes involving velocity and micro-rotationalvelocity.

Global classical solution for three-dimensional compressible isentropic  magneto-micropolar fluid equations with Coulomb force and slip boundary  condition in bounded domains