Zeitschrift für Analysis und ihre Anwendungen
Abstract
In this paper, a nonlinear parabolic equation of the form $u_t=(a(u_x))_x$ for $x\in(0,1),\ t>0,\ a(u_x)=|u_x|^{p-2}u_x$ if $u_x\geq\eta>0,\ 1 0$, then the solutions blow up in finite time. Moreover, estimates on the blow-up profile (in $x$) and the blow-up rate (in $t$) for $x=1$ are derived.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Differential Equations and Boundary Problems
Navier-Stokes equation solutions
Publication details
- Journal / source
- Zeitschrift für Analysis und ihre Anwendungen
- Publisher
- European Mathematical Society - EMS - Publishing House GmbH
- Publication date
- 21 September 2026
- Language
- DE