Liu, Ji
Published in
Acta Applicandae Mathematicae

In this paper, we consider the following system {nt+u⋅∇n=Δn−∇⋅(nS(|∇c|2)∇c)−nm,ct+u⋅∇c=Δc−c+m,mt+u⋅∇m=Δm−mn,ut=Δu+∇P+(n+m)∇Φ,∇⋅u=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{d...

Mtiri, Foued
Published in
Acta Applicandae Mathematicae

We investigate here the following weighted degenerate elliptic system −Δsu=(1+∥x∥2(s+1))α2(s+1)vp,−Δsv=(1+∥x∥2(s+1))α2(s+1)uθ,u,v>0in RN:=RN1×RN2,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}...

Gorgone, M. Oliveri, F. Speciale, M. P.
Published in
Acta Applicandae Mathematicae

A class of partial differential equations (a conservation law and four balance laws), with four independent variables and involving sixteen arbitrary continuously differentiable functions, is considered in the framework of equivalence transformations. These are point transformations of differential equations involving arbitrary elements and live in...

Li, Zhi Xu, Liping
Published in
Acta Applicandae Mathematicae

A novel approach to the exponential stability in mean square of stochastic functional differential equations and neutral stochastic functional differential equations with infinite delay is presented. Consequently, some new criteria for the exponential stability in mean square of the considered equations are obtained. Lastly, some examples are inves...

Kimura, M. van Meurs, P. Yang, Z. X.
Published in
Acta Applicandae Mathematicae

We consider the dynamics of point particles which are confined to a bounded, possibly nonconvex domain Ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\Omega $\end{docu...

Seksenbayev, Amirlan
Published in
Acta Applicandae Mathematicae

We study two closely related problems in the online selection of increasing subsequence. In the first problem, introduced by Samuels and Steele (Ann. Probab. 9(6):937–947, 1981), the objective is to maximise the length of a subsequence selected by a nonanticipating strategy from a random sample of given size n\documentclass[12pt]{minimal} \usepacka...

Song, Yating Guo, Lihui
Published in
Acta Applicandae Mathematicae

For this paper, we first obtain the Riemann solutions for the one-dimensional non-isentropic Euler equations of extended Chaplygin gas. The solutions are composed of shock waves, contact discontinuity and rarefaction waves. Furthermore, the behavior of these solutions under the limiting conditions are considered. As a certain parameter tends to zer...

Zhao, Jianxing
Published in
Acta Applicandae Mathematicae

Firstly, the optimal Z\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$Z$\end{document}-eigenvalue inclusion interval for the interval in Theorem 3 of (Acta Appl. Math. 1...

Guo, Yana Jia, Yan Dong, Bo-Qing
Published in
Acta Applicandae Mathematicae

This paper is concerned with the 2D magneto-micropolar equations with linear velocity damping and partial magnetic diffusion. We first examine that this system possesses a unique global smooth solution when the initial data is small. Moreover, we also study on the large-time behavior of these smooth solutions of the system. Under some new observati...

Franco, D. Guiver, C. Logemann, H.
Published in
Acta Applicandae Mathematicae

Persistence and stability properties are considered for a class of forced positive nonlinear delay-differential systems which arise in mathematical ecology and other applied contexts. The inclusion of forcing incorporates the effects of control actions (such as harvesting or breeding programmes in an ecological setting), disturbances induced by sea...