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 show that the 1D Hou-Luo model on the real line admits exact self-similarfinite-time blowup solutions with smooth self-similar profiles. The existenceof these profiles is established via a fixed-point method that is purelyanalytic. We also prove that the profiles satisfy some monotonicity andconvexity properties that are unknown before, and we give rigorous estimates onthe algebraic decay rates of the profiles in the far field. Our resultsupplements the previous computer-assisted proof of self-similar finite-timeblowup for the Hou-Luo model with finer characterizations of the profiles.

On the exact self-similar finite-time blowup of the Hou-Luo model with smooth profiles