This paper deals with a class of nonlinear parabolic problems in divergence form whose solutions, without appropriate data restrictions, might blow up at some finite time. The purpose of this paper is to establish conditions on the data sufficient to guarantee blow-up of solution at some finite time
✦ LIBER ✦
Existence and Exponential Decay of Solutions to a Quasilinear Thermoelastic Plate System
✍ Scribed by Irena Lasiecka; Sara Maad; Amol Sasane
- Book ID
- 105766066
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2008
- Tongue
- English
- Weight
- 577 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1021-9722
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The following degenerate parabolic system modelling chemotaxis is considered. where = 0 or 1. We show here that the system of (KS) with m > 1 has a time global weak solution (u, v) with a uniform bound in time when (u 0 , v 0 ) is a nonnegative function and