Zobrazeno 1 - 10
of 420
pro vyhledávání: '"Yin, Jingxue"'
Publikováno v:
In Journal of Differential Equations 15 June 2024 394:278-295
This paper is concerned with the critical sharp traveling wave for doubly nonlinear diffusion equation with time delay, where the doubly nonlinear degenerate diffusion is defined by $\Big(\big|(u^m)_x\big|^{p-2}(u^m)_x\Big)_x$ with $m>0$ and $p>1$. T
Externí odkaz:
http://arxiv.org/abs/2103.04966
The chemotaxis--Navier--Stokes system \begin{equation*}\label{0.1} \left\{\begin{array}{ll} n_t+u\cdot \nabla n=\triangle n-\chi\nabla\cdotp \left(\displaystyle\frac n {c}\nabla c\right)+n(r-\mu n), c_t+u\cdot \nabla c=\triangle c-nc, u_t+ (u\cdot \n
Externí odkaz:
http://arxiv.org/abs/2012.13116
We are concerned with a class of degenerate diffusion equations with time delay describing population dynamics with age structure. In our recent study [{\em Nonlinearity}, 33 (2020), 4013--4029], we established the existence and uniqueness of critica
Externí odkaz:
http://arxiv.org/abs/2011.14813
This paper is concerned with traveling wave solutions for a chemotaxis model with degenerate diffusion of porous medium type. We establish the existence of semi-finite traveling waves, including the sharp type and $C^1$ type semi-finite waves. Our re
Externí odkaz:
http://arxiv.org/abs/2005.04446
Akademický článek
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Publikováno v:
In Journal of Differential Equations 15 October 2023 370:167-201
Publikováno v:
J. Differential Equations, 269 (2020), 8882-8917
We consider the non-monotone degenerate diffusion equation with time delay. Different from the linear diffusion equation, the degenerate equation allows for semi-compactly supported traveling waves. In particular, we discover sharp-oscillating waves
Externí odkaz:
http://arxiv.org/abs/1909.11747
Publikováno v:
Nonlinearity, 33 (2020), 4013--4029
For the classical reaction diffusion equation, the priori speed of fronts is determined exactly in the pioneering paper (R.D. Benguria and M.C. Depassier, {\em Commun. Math. Phys.} 175:221--227, 1996) by variational characterization method. In this p
Externí odkaz:
http://arxiv.org/abs/1909.11751
Publikováno v:
In Journal of Differential Equations 25 March 2023 350:189-201