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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper designs a control law based on an extension of the forwarding method to solve the problem of almost global practical exponential stabilisation of a rigid body floating on the interface between viscous incompressible air and water governed by Navier–Stokes equations in a bounded domain in three dimensional space, where ‘almost’ means no collision between the rigid body and the domain boundary. Since less regularity of initial data (hence a weak solution) is considered, the forces and moments induced by the air and water on the rigid body are not possible to be bounded. Therefore, we derive the bound of ‘work and power of air and water’ on the rigid body for use in stability and convergence analysis of the closed-loop system.

Almost global practical exponential stabilisation of a floating rigid body