Convex integration solutions for the geometrically nonlinear two-well problem with higher Sobolev regularity

DOI10.1142/S0218202520500153zbMath1434.74090arXiv1905.12521OpenAlexW3004709860MaRDI QIDQ4960351

Francesco Della Porta, Angkana Rüland

Publication date: 15 April 2020

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12521

zbMATH Keywords

convex integrationhigher Sobolev regularitygeometrically nonlinear two-well problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elasticity (74B20) Analysis of microstructure in solids (74N15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

On rigidity for the four-well problem arising in the cubic-to-trigonal phase transformation ⋮ On the energy scaling behaviour of a singularly perturbed Tartar square ⋮ Rigidity and flexibility in the modelling of shape-memory alloys ⋮ On a probabilistic model for martensitic avalanches incorporating mechanical compatibility

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