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math.AP2026
Spatial decay and nonlinear smoothing of the generalized Ostrovsky equation
Xiangqian Yan, Wei Yan, Meihua Yang
This paper is devoted to studying the generalized Ostrovsky equation \begin{eqnarray*} u_{t}-β\partial_{x}^{3}u-γ\partial_{x}^{-1}u+\frac{1}{k+1}(u^{k+1})_{x}=0,k\geq5 \end{eqnarra…
math.AP2019
A new (and optimal) result for boundedness of solution of a quasilinear chemotaxis--haptotaxis model (with logistic source)
Jiashan Zheng
This article deals with an initial-boundary value problem for the coupled chemotaxis-haptotaxis system with nonlinear diffusion $$\left\{\begin{array}{ll} u_t=\nabla\cdot( D(u)\nab…
math.AP2017★ 1 cited
Global existence to a chemotaxis-Navier-stokes system with nonlinear diffusion and rotation
Jiashan Zheng, Yanyan Li, Xinhua Zou +2
This paper is concerned with the following quasilinear chemotaxis--Navier--Stokes system with nonlinear diffusion and rotation $$ \left\{ \begin{array}{l} n_t+u\cdot\nabla n=Δn^m-\…