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

The purpose of this paper is to solve the inverse scattering problem ofnonlinear Alfv\'en waves governed by the three dimensional ideal incompressibleMHD system. Bridging together geometric methods and weighted energy estimates,we establish a couple of scattering isomorphisms to substantially strengthenour previous rigidity results. This answer is consistent with the physicalintuition that Alfv\'en waves behave exactly in the same manner as theirscattering fields detected by the faraway observers. The novelty of the presentwork is twofold: for one thing, the relationship between Alfv\'en wavesemanating from the plasma and their scattering fields at infinities is exploredto the best; for another thing, the null structure inherent in MHD equations isthoroughly examined, especially when we estimate the pressure term.

Ideal MHD. Part III: Inverse scattering of Alfv\'en waves in three dimensional ideal magnetohydrodynamics