3 papers
math.NA2026
Optimal history encoding for elastic-plastic hereditary laws: Sharp input and constitutive approximation
Michael Ortiz, Pablo Pedregal
We formulate rate-independent elastic-ideally-plastic response directly in hereditary form and study its approximation by finite history surrogates. At the material-point level, th…
math.OC2026
Morrey's conjecture: rank-one convexity implies quasi-convexity for two-dimensional, two-component maps
Pablo Pedregal
We prove that for two-component maps in dimension two, rank-one convexity is equivalent to quasiconvexity. The essential tool for the proof is a fixed-point argument for a suitable…
math.DS2024
A variational approach to Hilbert's 16th problem within the framework of global analysis
Pablo Pedregal
We focus on the second part of Hilbert's 16th problem and provide an upper bound on the number of limit cycles that a polynomial, differential, planar system may have, depending ex…