2006 Fiscal Year Final Research Report Summary

The initial-boundary value problem for a system of nonlinear elastic waves

Research Project

Project/Area Number	16540199
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Single-year Grants
Section	一般
Research Field	Global analysis
Research Institution	Future University-Hakodate
Principal Investigator	AGEMI Rentaro Future University-Hakodate, School of systems information science, Professor, システム情報科学部, 教授 (10000845)
Co-Investigator(Kenkyū-buntansha)	TAKAMURA Hiroyuki Future University-Hakodate, School of systems information science, Associate Professor, システム情報科学部, 助教授 (40241781)
Project Period (FY)	2004 – 2006
Keywords	system of elastic waves / initial-boundary problem / spherical symmetry / global solution / null condition
Research Abstract	We studied the initial-boundary problem for spherical symmetric solutions introduced by F.John, where boundary is a sphere. We formulated concretely nonlinear boundary condition so called traction problem for spherical symmetric solution. As the first step toward to nonlinear problem, we established that the energy inequalities for linear initial-boundary problem hold in the interior and exterior domain for any material.

(4 results)