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Global dynamics for the generalised chemotaxis-Navier–Stokes system in $\mathbb{R}^3$

open access: yesEuropean Journal of Applied Mathematics
We consider the chemotaxis-Navier–Stokes system with generalised fluid dissipation in $\mathbb{R}^3$ : \begin{eqnarray*} \begin{cases} \partial _t n+u\cdot \nabla n=\Delta n- \nabla \cdot (\chi (c)n \nabla c),\\[5pt] \partial _t c+u \cdot \nabla
Qingyou He, Ling-Yun Shou, Leyun Wu
doaj   +1 more source

Numerical investigation of a new class of waves in an open nonlinear heat-conducting medium

open access: yesOpen Mathematics, 2013
Dimova Milena   +2 more
doaj   +1 more source
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Lifespan of Solutions for a Weakly Coupled System of Semilinear Heat Equations

Tokyo Journal of Mathematics, 2020
Yuta Wakasugi   +2 more
exaly  

Existence of blow-up solutions for a class of elliptic systems

Differential and Integral Equations, 2013
Claudianor Alves
exaly  

Blowup for a Fourth-Order Parabolic Equation with Gradient Nonlinearity

SIAM Journal on Mathematical Analysis, 2020
Shinya Okabe, Kazuhiro Ishige
exaly  

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