Search Results - "PELETIER, M. A"
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1
Asymptotic Behaviour of a Pile-Up of Infinite Walls of Edge Dislocations
Published in Archive for rational mechanics and analysis (01-08-2013)“…We consider a system of parallel straight edge dislocations and we analyse its asymptotic behaviour in the limit of many dislocations. The dislocations are…”
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2
Kink band instability in layered structures
Published in Journal of the mechanics and physics of solids (01-05-2004)“…A recent two-dimensional prototype model for the initiation of kink banding in compressed layered structures is extended to embrace the two propagation…”
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3
Convergence and Non-convergence of Many-Particle Evolutions with Multiple Signs
Published in Archive for rational mechanics and analysis (2020)“…We address the question of the convergence of evolving interacting particle systems as the number of particles tends to infinity. We consider two types of…”
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4
Cellular Buckling in Long Structures
Published in Nonlinear dynamics (01-01-2000)“…A long structural system with an unstable (subcritical)post-buckling response that subsequently restabilizes typically deformsin a cellular manner, with…”
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5
Mechanics of dislocation pile-ups: A unification of scaling regimes
Published in Journal of the mechanics and physics of solids (01-10-2014)“…This paper unravels the problem of an idealised pile-up of n infinite, equi-spaced walls of edge dislocations at equilibrium. We define a dimensionless…”
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6
Self-contact for rods on cylinders
Published in Archive for rational mechanics and analysis (01-11-2006)“…We study self-contact phenomena in elastic rods that are constrained to lie on a cylinder. By choosing a particular set of variables to describe the rod…”
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7
Multi-layered folding with voids
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences (28-04-2012)“…In the deformation of layered materials such as geological strata, or stacks of paper, mechanical properties compete with the geometry of layering. Smooth,…”
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8
SELF-SIMILAR VOIDING SOLUTIONS OF A SINGLE LAYERED MODEL OF FOLDING ROCKS
Published in SIAM journal on applied mathematics (01-01-2012)“…In this paper we derive an obstacle problem with a free boundary to describe the formation of voids at areas of intense geological folding. An elastic layer is…”
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9
The minimum of quadratic functionals of the gradient on the set of convex functions
Published in Calculus of variations and partial differential equations (01-11-2002)“…We study the infimum of functionals of the form (formula) among all convex functions (formula) such that (formula). (Omega is a convex open subset of RN, and M…”
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10
Asymptotic Results for Injection of Reactive Solutes from a Three-Dimensional Well
Published in Journal of mathematical analysis and applications (15-08-2001)“…In this paper we consider some asymptotic aspects related to the profile of a reactive solute, which is injected from a well (radius ϵ>0) into a…”
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11
Extremal points of a functional on the set of convex functions
Published in Proceedings of the American Mathematical Society (01-06-1999)“…We investigate the extremal points of a functional \int f(\nabla u), for a convex or concave function f. The admissible functions u:\Omega\subset\RN\to\bR are…”
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12
On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion
Published in Potential analysis (01-11-2014)“…Motivated by the occurrence in rate functions of time-dependent large-deviation principles, we study a class of non-negative functions ℒ that induce a flow,…”
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13
ON END ROTATION FOR OPEN RODS UNDERGOING LARGE DEFORMATIONS
Published in Quarterly of applied mathematics (01-06-2007)“…We give a careful discussion of end rotation in elastic rods, focusing on ambiguities that arise if arbitrarily large deformations are allowed. By introducing…”
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14
Three flow regimes of viscous jet falling onto a moving surface
Published in IMA journal of applied mathematics (01-04-2012)“…A stationary viscous jet falling from an oriented nozzle onto a moving surface is studied theoretically. The fluid is modelled as a Newtonian fluid, and the…”
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15
Understanding post-operative temperature drop in cardiac surgery: a mathematical model
Published in Mathematical medicine and biology (01-12-2008)“…A mathematical model is presented to understand heat transfer processes during the cooling and re-warming of patients during cardiac surgery. Our compartmental…”
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16
Optimality of the Triangular Lattice for a Particle System with Wasserstein Interaction
Published in Communications in mathematical physics (01-07-2014)“…We prove strong crystallization results in two dimensions for an energy that arises in the theory of block copolymers. The energy is defined on sets of points…”
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17
Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics
Published 25-06-2018“…Nonlinearity 31 4517 (2018) In molecular dynamics and sampling of high dimensional Gibbs measures coarse-graining is an important technique to reduce the…”
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18
Newton's Problem of the Body of Minimal Resistance in the Class of Convex Developable Functions
Published in Mathematische Nachrichten (01-06-2001)“…We investigate the minimization of Newton's functional for the problem of the body of minimal resistance with maximal height M > 0 [4] in the class of convex…”
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19
A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility
Published 31-01-2016“…J. Non-Equil. Thermodyn. 41:2 (2016) 141-149 Onsager's 1931 `reciprocity relations' result connects microscopic time-reversibility with a symmetry property of…”
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20
HEXAGONAL PATTERNS IN A SIMPLIFIED MODEL FOR BLOCK COPOLYMERS
Published in SIAM journal on applied mathematics (01-01-2014)“…In this paper we study a new model for patterns in two dimensions, inspired by diblock copolymer melts with a dominant phase. The model is simple enough to be…”
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