Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Non-smoothness in the asymptotics of thin shells and propagation of singularities. Hyperbolic case

Philippe KaramianJacqueline Sanchez-HubertÉvariste Sanchez Palencia — 2002

International Journal of Applied Mathematics and Computer Science

We consider the limit behaviour of elastic shells when the relative thickness tends to zero. We address the case when the middle surface has principal curvatures of opposite signs and the boundary conditions ensure the geometrical rigidity. The limit problem is hyperbolic, but enjoys peculiarities which imply singularities of unusual intensity. We study these singularities and their propagation for several cases of loading, giving a somewhat complete description of the solution.

Various kinds of sensitive singular perturbations

Nicolas MeunierJacqueline Sanchez-HubertÉvariste Sanchez-Palencia — 2007

Annales mathématiques Blaise Pascal

We consider variational problems of P. D. E. depending on a small parameter ε when the limit process ε 0 implies vanishing of the higher order terms. The perturbation problem is said to be sensitive when the energy space of the limit problem is out of the distribution space, so that the limit problem is out of classical theory of P. D. E. We present here a review of the subject, including abstract convergence theorems and two very different model problems (the second one is presented for the first...

Page 1

Download Results (CSV)