Accession Number:

ADA433612

Title:

Application of Symmetry Analysis to a PDE Arising in the Car Windscreen Design

Descriptive Note:

Conference paper

Corporate Author:

JOHANNES KEPLER UNIV LINZ (AUSTRIA)

Report Date:

2005-01-03

Pagination or Media Count:

38.0

Abstract:

Our aim is to find the symmetry reductions related to the PDE 8 hidden by the nonlinearity that occurs between the data and the parameter - group of transformations that leave the equation unchanged, which also relate the inverse and the direct problem - knowledge of the invariants of these group actions allows us to write the target shape and the parameter in terms of them, and therefore, to reduce the order of the studied model - we find again the obvious result that a Youngs modulus constant corresponds to a data which is a solution of an non- homogeneous biharmonic equation - the circular case considered by Salazar and Westbrook is a particular case of our study - other target shapes which are not radial functions can be considered - the equation 8 is invariant under scaling transformations - target shapes modelled by homogeneous functions can be analyzed as well. - in particular, we are interested in target shapes modelled by homogeneous polynomials defined on elliptical domains or square domains with rounded corners.

Subject Categories:

  • Surface Transportation and Equipment
  • Explosions
  • Combustion and Ignition

Distribution Statement:

APPROVED FOR PUBLIC RELEASE