首頁 > 網路資源 > 大同大學數位論文系統

Title page for etd-0806108-091433


URN etd-0806108-091433 Statistics This thesis had been viewed 2329 times. Download 901 times.
Author Yen-Huang Hsu
Author's Email Address No Public.
Department Math
Year 2007 Semester 2
Degree Master Type of Document Master's Thesis
Language English Page Count 32
Title Quenching Behavior of Parabolic Problems with Localized Reaction Term
Keyword
  • Quenching Behavior
  • Parabolic Equations
  • Localized Reaction Term
  • Localized Reaction Term
  • Parabolic Equations
  • Quenching Behavior
  • Abstract Let $\triangle $ be the Laplace operator in
    $n$ dimensional space. This paper studies the following the
    initial-boundary value problem with localized reaction term:
    \begin{align*}
    u_{t}(x,t)=\Delta u(x,t)+
    \frac{1}{(1-u(x,t))^{p}}+\frac{1}{(1-u(x^{*},t))^{q}},
    (x,t)\in B\times(0,T),
    \end{align*}
    \begin{align*}
    u(x,0)=u_{0}(x), \ x\in B,
    \end{align*}
    \begin{align*}
    u(x,t)=0, \ (x,t)\in\partial B\times(0,T),
    \end{align*}
    where $B=\{x\in \Bbb{R}^n: \|x\|<1 \}$, $\partial B=\{x\in
    \Bbb{R}^n: \|x\| =1\}$, $x^{*}\in B$, $0<p,\ q<\infty$, $T>0$,
    and $u_{0}\geq 0$. The existence and quenching behavior of the
    problem are studied. For the case $x^{*}=0$, the quenching rate
    of solution near the quenching time is investigated.
    Advisor Committee
  • Hon-hung Terence Liu - advisor
  • Fuh-Gwo Wang - co-chair
  • none - co-chair
  • Files indicate access worldwide
    Date of Defense 2008-07-25 Date of Submission 2008-08-15


    Browse | Search All Available ETDs