Advanced Search
Article Contents
Article Contents

Blow-up estimates of positive solutions of a reaction-diffusion system

Abstract Related Papers Cited by
  • This paper is concerned with positive solutions of the reaction-diffusion system

    $u_t - \Delta u = u^(m_1)v^(n_1)$ ,
    $v_t - \Delta v = u^(m_2)v^(n_2)$ ,

    which blow up at $t = T$. We obtain the following estimates on the blow-up rates:

    $c(T - t)^(-(n_1-n_2+1)/\gamma) <= max_(x\in\Omega) u(x, t) <= C(T - t)^(-(n_1-n_2+1)/\gamma)$,
    $c(T - t)^(-(m_2-m_1+1)/\gamma) <= max_(x\in\Omega) v(x, t) <= C(T - t)^(-(m_2-m_1+1)/\gamma)$,

    for some positive constants $c,C$ and $\gamma = m_2n_1 - (1 - m_1)(1 - n_2)$.


    \begin{equation} \\ \end{equation}
  • 加载中
Open Access Under a Creative Commons license

Article Metrics

HTML views() PDF downloads(59) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint