Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Kong, Lingzheng"'
Subwavelength resonance is a vital acoustic phenomenon in contrasting media. The narrow bandgap width of single-layer resonator has prompted the exploration of multi-layer metamaterials as an effective alternative, which consist of alternating nests
Externí odkaz:
http://arxiv.org/abs/2411.08938
In this paper, we study the recovery of multi-layer structures in inverse conductivity problem by using one measurement. First, we define the concept of Generalized Polarization Tensors (GPTs) for multi-layered medium and show some important properti
Externí odkaz:
http://arxiv.org/abs/2312.02421
Multi-layer structures are ubiquitous in constructing metamaterial devices to realise various frontier applications including super-resolution imaging and invisibility cloaking. In this paper, we develop a general mathematical framework for studying
Externí odkaz:
http://arxiv.org/abs/2302.13983
Publikováno v:
In Journal of Computational Physics 1 December 2024 518
Publikováno v:
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). Jul/Aug2024, Vol. 58 Issue 4, p1413-1440. 28p.
Autor:
Kong, Lingzheng, Chen, Haibo
In this paper, we consider the strongly coupled nonlinear Kirchhoff-type system with vanshing potentials: \begin{equation*}\begin{cases} -\left(a_1+b_1\int_{\mathbb{R}^3}|\nabla u|^2\dx\right)\Delta u+\lambda V(x)u=\frac{\alpha}{\alpha+\beta}|u|^{\al
Externí odkaz:
http://arxiv.org/abs/2104.11957
Publikováno v:
In Applied Mathematics Letters January 2024 147
Autor:
Kong, Lingzheng, Chen, Haibo
In this paper, a class of Schr\"{o}dinger-Poisson system involving multiple competing potentials and critical Sobolev exponent is considered. Such a problem cannot be studied with the same argument of the nonlinear term with only a positive potential
Externí odkaz:
http://arxiv.org/abs/2012.08978
Publikováno v:
In Chemical Engineering Journal 1 September 2023 471
Publikováno v:
In Molecular Catalysis 15 January 2023 535