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

100%

Karamian P., Sanchez-Hubert J., Palencia É. S.

International Journal of Applied Mathematics and Computer Science

2002

tom 12

nr 1

81-90

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.

Mellin analysis of partial differential equations in papers of B. Ziemian

100%

Kołakowski H.

Annales Polonici Mathematici

2000

tom 74

nr 1

27-33

Existence and regularity theorems for Fuchsian type differential operators and the theory of second microlocalization are presented.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 International Journal of Applied Mathematics and Computer Science

1 Karamian P.

1 Kołakowski H.

1 Palencia É. S.

1 Sanchez-Hubert J.

1 2002

1 2000

Wyniki wyszukiwania

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

Mellin analysis of partial differential equations in papers of B. Ziemian