skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

Explore Research Products in the PAR
It may take a few hours for recently added research products to appear in PAR search results.


  • Home
  • Search Results
  • Page 1 of 1

Search for: All records

Creators/Authors contains: "Xing, Chao"

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

  1. ; ; ; (, Nonlinearity)
    Abstract This article examines the Rayleigh–Taylor instability in an rotating inhomogeneous, incompressible fluid with partial viscosity. First, using the modified variational method, we demonstrate the existence of an exponentially growing normal mode in H k , k ⩾ 0 and establish the instability of the linearised problem. Then, we obtain a nonlinear energy estimate for the problem with small initial data. In this process, we employ an innovative method to derive energy estimates for both density and velocity, effectively addressing the challenges posed by partial viscosity. Third, we prove the existence of a classical solution forH3initial data, provided it satisfies a compatibility condition. Finally, by integrating the results of the previous steps, we establish the nonlinear instability of the system in the Hadamard sense. 
    more » « less
    Free, publicly-accessible full text available April 24, 2026
  2. ; ; ; (, Journal of Differential Equations)
    Free, publicly-accessible full text available November 1, 2025
  3. ; ; (, SIAM journal on applied dynamical systems)
    Accepted Manuscript Full Text Available
  4. ; ; ; ; ; ; ; ; (, Science China Chemistry)
    Full Text Available 
  5. ; ; ; ; ; ; ; ; (, Nano Energy)
    null (Ed.)
    Full Text Available