نتایج جستجو برای: first conditions

تعداد نتایج: 2165457  

Journal: :SIAM J. Math. Analysis 2008
Klaus Deckelnick Hans-Christoph Grunau

We consider the one-dimensional Willmore equation subject to Navier boundary conditions, i.e. the position and the curvature are prescribed on the boundary. In a previous work, explicit symmetric solutions to symmetric data have been constructed. Within a certain range of boundary curvatures one has precisely two symmetric solutions while for boundary curvatures outside the closure of this rang...

2008
Antonio Pérez–Garrido M. A. Moore

We have simulated a system of classical particles confined on the surface of a sphere interacting with a repulsive r potential. The same system simulated on a plane with periodic boundary conditions has van der Waals loops in pressure-density plots which are usually interpreted as evidence for a first order melting transition, but on the sphere such loops are absent. We also investigated the st...

2008
Dimitrios Antonopoulos Vassilios Dougalis Dimitrios Mitsotakis D. C. Antonopoulos V. A. Dougalis D. E. Mitsotakis

In this paper we consider the one-parameter family of Bona-Smith systems, which belongs to the class of Boussinesq systems modelling two-way propagation of long waves of small amplitude on the surface of water in a channel. We study three initial-boundary-value problems for these systems, corresponding, respectively, to nonhomogeneous Dirichlet, reflection, and periodic boundary conditions pose...

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