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Non maximal cyclically monotone graphs and construction of a bipotential for the Coulomb's dry friction law

- Marius Buliga, G. Saxcé, C. Vallée
- Mathematics
- 8 February 2008

We show a surprising connexion between a property of the inf convolution of a family of convex lower semicontinuous functions and the fact that the intersection of maximal cyclically monotone graphs… Expand

Energy Minimizing Brittle Crack Propagation

- Marius Buliga
- Mathematics
- 1 September 1998

We propose a minimizing movement model for quasi-static brittle crack evolution. Cracks (fissures) appear and/or grow without any prescription of their shape or location when time-dependent… Expand

Chemlambda, universality and self-multiplication

- Marius Buliga, L. Kauffman
- Computer Science, Mathematics
- ArXiv
- 1 March 2014

TLDR

Braided spaces with dilations and sub-riemannian symmetric spaces

- Marius Buliga
- Mathematics
- 27 May 2010

Braided sets which are also spaces with dilations are presented and explored in this paper, in the general frame of emergent algebras arxiv:0907.1520. Examples of such spaces are the sub-riemannian… Expand

Computing with space: a tangle formalism for chora and difference

- Marius Buliga
- Computer Science, Physics
- ArXiv
- 30 March 2011

TLDR

Existence and construction of bipotentials for graphs of multivalued laws

- Marius Buliga, G. Saxcé, C. Vallée
- Mathematics
- 1 August 2006

This is a first paper in convex analysis dedicated to the bipotential theory, based on an extension of Fenchel's inequality. Introduced by the second author, bipotentials lead to a succesful new… Expand

Four applications of majorization to convexity in the calculus of variations

- Marius Buliga
- Mathematics
- 1 October 2008

Abstract The resemblance between the Horn–Thompson theorem and a recent theorem by Dacorogna–Marcellini–Tanteri indicates that Schur-convexity and the majorization relation are relevant for… Expand

Blurred maximal cyclically monotone sets and bipotentials

- Marius Buliga, G. Saxcé, C. Vallée
- Mathematics
- 1 May 2009

Let X be a reflexive Banach space and Y its dual. In this paper we find necessary and sufficient conditions for the existence of a bipotential for a blurred maximal cyclically monotone graph.… Expand

Blurred Constitutive Laws and Bipotential Convex Covers

- G. de Saxcé, Marius Buliga, C. Vallée
- Mathematics
- 1 May 2009

In many practical situations, uncertainties affect the mechanical behavior that is given by a family of graphs instead of a single graph. In this paper, we show how the bipotential method is able to… Expand

A symplectic Brezis–Ekeland–Nayroles principle

- Marius Buliga, G. de Saxcé
- Physics, Mathematics
- 12 August 2014

We propose a modification of the Hamiltonian formalism which can be used for dissipative systems. This work continues a previous work on Hamiltonian inclusions and advances by the introduction of a… Expand

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