Guillaume Legendre, Takéo Takahashi (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
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We propose a numerical scheme to compute the motion of a two-dimensional rigid body in a viscous fluid. Our method combines the method of characteristics with a finite element approximation to solve an ALE formulation of the problem. We derive error estimates implying the convergence of the scheme.
Hatvani, L. (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ahammou, Abdelaziz (2002)
International Journal of Mathematics and Mathematical Sciences
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Josef Daněček, Eugen Viszus (1996)
Archivum Mathematicum
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It is shown in this paper that gradient of vector valued function solution of a nonlinear elliptic system, cannot be too close to a straight line without being regular.
Fengquan Li (2007)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we prove existence results for some nonlinear degenerate elliptic equations with data in the space of bounded Radon measures and we improve the results already obtained in Cirmi G.R., , Ricerche Mat. (1993), no. 2, 315–329.
Abdallah Hamidi, Gennady Laptev (2003)
Open Mathematics
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Problems of existence and nonexistence of global nontrivial solutions to quasilinear evolution differential inequalities in a product of cones are investigated. The proofs of the nonexistence results are based on the test-function method developed, for the case of the whole space, by Mitidieri, Pohozaev, Tesei and Véron. The existence result is established using the method of supersolutions.
Zvonko Čerin (2005)
Open Mathematics
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We consider alternating sums of squares of odd and even terms of the Lucas sequence and alternating sums of their products. These alternating sums have nice representations as products of appropriate Fibonacci and Lucas numbers.