Global solutions of the cauchy problem for quasi-linear first-order equations in several space variables
β Scribed by Edward Conway; Joel Smoller
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 491 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0010-3640
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## Abstract This paper is a continuation of [6]. Here we construct a CAUCHY integral formula and a POMPEJUβrepresentation for elliptic systems of partial differential equations of first order in __R^n^__, which may be described with the help of a CLIFFORDβalgebra. Moreover we study properties of th
We study the global existence, asymptotic behaviour, and global non-existence (blow-up) of solutions for the damped non-linear wave equation of Kirchho! type in the whole space: , and '0, with initial data u(x, 0)"u (x) and u R (x, 0)"u (x).
This paper contains details of recent developments in the analysis of elastohydrodynamic lubrication problems using the finite element method. A steady state isothermal finite element formulation of the smooth line contact problem with Newtonian lubricant behaviour is presented containing both first