2 citations · 6 across the 8 of their papers we have counts for
8 papers
Parity Metamaterials and Dynamic Acoustic Mimicry
Jinjie Shi, Hongchen Chu, Aurelien Merkel +4
While parity transformation represents a fundamental symmetry operation in physics, its implications remain underexplored in metamaterial science. Here, we introduce a framework le…
Metamaterial sound absorbers based on microperforated panels: an approach toward enhanced flexibility and near-limit broadband performance
Jinjie Shi, Jie Luo, Chenkai Liu +6
Traditional microperforated panels (MPPs) and metamaterial-based sound absorbers rely on local resonances or multi-resonator designs, which limit their bandwidth, angular applicabi…
A priori estimates for anti-symmetric solutions to a fractional Laplacian equation in a bounded domain
Chenkai Liu, Shaodong Wang, Ran Zhuo
In this paper, we obtain a priori estimates for the set of anti-symmetric solutions to a fractional Laplacian equation in a bounded domain using a blowing-up and rescaling argument…
Ultra-broadband suppression of sound scattering via illusion metamaterials
Chenkai Liu, Chu Ma, Yun Lai +1
The scattering of waves is a ubiquitous phenomenon in physics, yet there are numerous scenarios, such as the pursuit of invisibility, where suppressing it is of utmost importance.…
A localized criterion for the regularity of solutions to Navier-Stokes equations
Congming Li, Chenkai Liu, Ran Zhuo
The Serrin-Prodi-Ladyzhenskaya type criteria for the regularity of solutions to the incompressible Navier-Stokes equations are fundamental in the study of the millennium…
Uniqueness and some related estimates for Dirichlet problem with fractional Laplacian
Congming Li, Chenkai Liu
For the fractional Laplace equation, a surprising observation is the non-uniqueness for the basic Dirichlet type problems. In this paper, a somewhat sharp uniqueness condition for…
On the Dirichlet problem for fractional Laplace equation on a general domain
Chenkai Liu, Ran Zhuo
In this paper, we study Dirichlet problems of fractional Laplace (Poisson) equations on a general bounded domain in . Green's functions and Poisson kernels are import…
Singular solutions of linear problems with fractional Laplacian
Congming Li, Chenkai Liu, Zhigang Wu +1
In this paper, we study singular solutions of linear problems with fractional Laplacian. First, we establish Bôcher type theorems on a punctured ball via distributional approach. T…