Accession Number : ADA136425

Title :   Initial Value Problems for Viscoelastic Liquids.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Renardy,M

PDF Url : ADA136425

Report Date : Nov 1983

Pagination or Media Count : 19

Abstract : Cauchy problems for equations modelling non-Newtonian fluids are discussed and recent existence theorems for classical solutions, based on semigroup methods, are presented. Such existence results depend in a crucial manner on the symbol of the leading differential operator. Both parabolic and hyperbolic cases are discussed. In general, however, the leading differential operator may be of non-integral order, arising from convolution with a singular kernel. This has interesting implications concerning the propagation of singularities. In particular, there are cases where C infinity-smoothing coexists with finite wave speeds. (Author)

Descriptors :   *Cauchy problem, *Differential equations, *Viscoelasticity, Liquids, Operators(Mathematics), Wave propagation, Incompressibility, Three dimensional

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE