Open AccessBook
Cours d'analyse
About:
The article was published on 1963-01-01 and is currently open access. It has received 181 citations till now.read more
Citations
More filters
Journal ArticleDOI
Sticky Particles and Scalar Conservation Laws
Yann Brenier,Emmanuel Grenier +1 more
TL;DR: One-dimensional scalar conservation laws with nondecreasing initial conditions and general fluxes were shown to be the appropriate equations to describe large systems of free particles on the real line, which stick under collision with conservation of mass and momentum as mentioned in this paper.
Journal ArticleDOI
New ideas for proving convergence of decomposition methods
K. Abbaoui,Yves Cherruault +1 more
TL;DR: In this article, the authors give new formulae which calculate easily the Adomian's polynomials used in decomposition methods, and prove the convergence of the technique using a weak hypothesis on the nonlinear operator of the functional equation.
Journal ArticleDOI
Injectivity and self-contact in nonlinear elasticity
TL;DR: In this article, the authors show that the associated minimization problem provides a mathematical model for matter to come into frictionless contact with itself but not interpenetrate, and they also extend J. Ball's theorems on existence to this case by establishing the existence of a minimizer of the energy in the space W1,p(Ω;ℝ3), p > 3, that is injective almost everywhere.
Journal ArticleDOI
Coupling of eigenvalues of complex matrices at diabolic and exceptional points
TL;DR: In this article, a general theory of coupling of eigenvalues of complex matrices of an arbitrary dimension depending on real parameters is presented and the cases of weak and strong coupling are distinguished and their geometric interpretation in two and threedimensional spaces is given.