The singularity arising from the violation of the Lipschitz condition in the simple Newtonian system proposed recently by Norton (2003) is so fragile as to be completely and irreparably destroyed by slightly relaxing certain (infinite) idealizations pertaining to elastic phenomena in this model. I demonstrate that this is also true for several other Lipschitz-indeterministic systems, which, unlike Norton's example, have no surface curvature singularities. As a result, indeterminism in these systems should rather be viewed as an artefact of certain infinite idealizations essential for these models, depriving them of much of their intended metaphysical import
The loss of ellipticity indicated through the rank-one-convexity condition is elaborated for the spa...
An unworthy disciple of Rene ́ Thom, I feel that his vision of mathematics is being partly forgotten...
The dynamics of line singularities in three different physical systems are considered, namely vortic...
Norton’s dome is an example of indeterminism in Newtonian physics, based on a non-Lipschitz continuo...
A recent proposal of Norton (2003) to show that a simple Newtonian system can exhibit stochastic aca...
If the force on a particle fails to satisfy a Lipschitz condition at a point, it relaxes one of the ...
Abstract If the force on a particle fails to satisfy a Lipschitz condition at a point, it relaxes on...
In this paper, we consider an elasticity system with residual stress. We are interested in recovery ...
The recent discovery of an indeterministic system in classical mechanics, the Norton dome, has shown...
International audienceFor illustrating the limits of the NSCD approach we focus our attention on den...
Newtonian mechanics is generally considered to be deterministic: Once the initial conditions are kno...
For dimers and other models of random surfaces, limit shapes appear when boundary conditions force a...
The present article provides an analysis of the instants of a system that performs a Newtonian super...
Abstract. We prove the strong unique continuation property for the Lamé system of elastostatics in ...
In this paper, we present and analyze a variational model in nonlinear elasticity that allows for ca...
The loss of ellipticity indicated through the rank-one-convexity condition is elaborated for the spa...
An unworthy disciple of Rene ́ Thom, I feel that his vision of mathematics is being partly forgotten...
The dynamics of line singularities in three different physical systems are considered, namely vortic...
Norton’s dome is an example of indeterminism in Newtonian physics, based on a non-Lipschitz continuo...
A recent proposal of Norton (2003) to show that a simple Newtonian system can exhibit stochastic aca...
If the force on a particle fails to satisfy a Lipschitz condition at a point, it relaxes one of the ...
Abstract If the force on a particle fails to satisfy a Lipschitz condition at a point, it relaxes on...
In this paper, we consider an elasticity system with residual stress. We are interested in recovery ...
The recent discovery of an indeterministic system in classical mechanics, the Norton dome, has shown...
International audienceFor illustrating the limits of the NSCD approach we focus our attention on den...
Newtonian mechanics is generally considered to be deterministic: Once the initial conditions are kno...
For dimers and other models of random surfaces, limit shapes appear when boundary conditions force a...
The present article provides an analysis of the instants of a system that performs a Newtonian super...
Abstract. We prove the strong unique continuation property for the Lamé system of elastostatics in ...
In this paper, we present and analyze a variational model in nonlinear elasticity that allows for ca...
The loss of ellipticity indicated through the rank-one-convexity condition is elaborated for the spa...
An unworthy disciple of Rene ́ Thom, I feel that his vision of mathematics is being partly forgotten...
The dynamics of line singularities in three different physical systems are considered, namely vortic...