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pro vyhledávání: '"Xia, Yonghui"'
In this paper, we consider a kind of shallow water wave model called the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. We firstly consider the unperturbed KP-BBM equation. Then by using the geometric singular perturbation (GSP) theor
Externí odkaz:
http://arxiv.org/abs/2404.01005
Publikováno v:
Eur. Phys. J. Plus 138 (2023) 1091
In this manuscript, we investigate the behavior of stellar structure through embedding approach in $f(R, \phi, X)$ modified theory of gravity, where $R$ denotes the Ricci scalar, $\phi$ represents the scalar potential and $X$ indicates the kinetic po
Externí odkaz:
http://arxiv.org/abs/2404.00407
In this paper, the variational formulation for steady periodic stratified water waves in two-layer flows is given. The critical points of a natural energy functional is proved to be the solutions of the governing equations. And the second variation o
Externí odkaz:
http://arxiv.org/abs/2401.10911
In this paper, we study steady 2D periodic blood flow propagating along blood vessels with free boundary conditions. In particular, we focus on the dynamic behavior of flows with harmonic vorticity and time dependent body force. An equivalent formula
Externí odkaz:
http://arxiv.org/abs/2308.07328
The constant vorticity {\bf two-layer water wave} in the $\beta$-plane approximation with centripetal forces is investigated in this paper. Different from the works (Chu and Yang\cite[JDE, 2020]{chu} and Chu and Yang \cite[JDE, 2021]{chu2}) on the si
Externí odkaz:
http://arxiv.org/abs/2307.08522
Hartman-Grobman theorem was initially extended to the non-autonomous cases by Palmer. Usually, dichotomy is an essential condition of Palmer's linearization theorem. Is Palmer's linearization theorem valid for the systems with trichotomy? In this pap
Externí odkaz:
http://arxiv.org/abs/2303.00151
Autor:
Xiao, Jianglong, Xia, Yonghui
Diffusion-driven instability and bifurcation analysis are studied in a predator-prey model with herd behavior and quadratic mortality by incorporating multiple Allee effect into prey species. The existence and stability of the equilibria of the syste
Externí odkaz:
http://arxiv.org/abs/2302.01901
Autor:
Lu, Weijie, Xia, Yonghui
In this paper, we study the topological conjugacy between the linear generalized ODEs (for short, GODEs) \[ \frac{dx}{d\tau}=D[A(t)x] \] and their nonlinear perturbation \[ \frac{dx}{d\tau}=D[A(t)x+F(x,t)] \] on Banach space $\mathscr{X}$, where $A:\
Externí odkaz:
http://arxiv.org/abs/2301.09955
Autor:
Cui, Xiaoxiao, Xia, Yonghui
This paper concerns a second-order differential equation with indefinite and repulsive singularities. It is the first time to study differential equation containing both indefinite and repulsive singularities simultaneously. A set of sufficient condi
Externí odkaz:
http://arxiv.org/abs/2204.03908
Autor:
Zheng, Hang, Xia, Yonghui
Choosing ${\kappa}$ (horizontal ordinate of the saddle point associated to the homoclinic orbit) as bifurcation parameter, bifurcations of the travelling wave solutions is studied in a perturbed $(1 + 1)$-dimensional dispersive long wave equation. Th
Externí odkaz:
http://arxiv.org/abs/2203.14425