期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2021; 86 (1)
We derive the formulas for the resonance frequencies and their sensitivity when the nano-slit structures are used in the detection of thin layers. For......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2021; 86 (3)
The general three-component nonlinear Schrodinger (gtc-NLS) equations are completely integrable and contain the self-focusing, defocusing and mixed ca......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2021; 86 (3)
This paper considers the stationary problem of density-suppressed motility models proposed in Fu et al. (2012) and Liu et at (2011) in one dimension w......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2021; 86 (2)
The modelling of linear and nonlinear reaction-subdiffusion processes is more subtle than normal diffusion and causes different phenomena. The resulti......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2021; 86 (1)
This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by a mixed-type scatterer, which is given as the union of a......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2020; 85 (2)
The existence and multiplicity of similarity solutions for the steady, incompressible and fully developed laminar flows in a uniformly porous channel ......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2020; 85 (2)
We consider a fractional phase-field crystal (FPFC) model in which the classical Swift-Hohenberg equation (SHE) is replaced by a fractional order Swif......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2020; 85 (3)
This paper is concerned with nonlinear interactions of fundamental equatorial modes. In order to understand the mechanism of large-scale atmospheric m......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2020; 85 (6)
In the paper, we point out a drawback of the Fourier sine series method to represent a given odd function, where the boundary Gibbs phenomena would oc......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2020; 85 (6)
Optical tomography is a typical non-invasive medical imaging technique, which aims to reconstruct geometric and physical properties of tissues by pass......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2020; 85 (6)
This paper is concerned with uniqueness in inverse electromagnetic scattering with phaseless far-field pattern at a fixed frequency. In our previous w......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2019; 84 (1)
A reaction-advection-diffusion equation is investigated with double free boundaries and mth-order Fisher non-linearity. The main purpose is to study t......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2019; 84 (1)
In this paper, we focus on the uniqueness and stability of travelling front solutions of the classical competitive LotkaVolterra system with different......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2019; 84 (1)
We study the existence of modulated amplitude waves with non-trivial phase of a quasi-1D multicomponent BoseEinstein condensate (BEC) in the presence ......
期刊： IMA JOURNAL OF APPLIED MATHEMATICS, 2019; 84 (2)
This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of el......
