Generalized Clapeyron's Theorem

Date: 

Thursday, 6 November, 2025 - 14:00 to 15:00

Speaker: Lev Truskinovsky, ESPCI Paris

Time : 14:00 - 15.00 CET

Where: room A-134 (SISSA)

Abstract: Clapeyron’s Theorem in classical linear elasticity provides a way to explicitly express the energy stored in an equilibrium configuration in terms of the work of the forces applied on the boundary. We derive several new integral relations which can be viewed as nonlinear analogs of this classical result, reinterpreting them as rather general statements within Calculus of Variations. Joint work with Yuri Grabovsky (Temple University, Philadelphia).

Biography: Prof. Lev Truskinovsky is Directeur de Recherche at the CNRS, working within the Physique et Mécanique des Milieux Hétérogènes (PMMH) laboratory at ESPCI in Paris. His research lies at the intersection of applied mathematics and continuum mechanics, focusing on nonlinear problems in fluid and solid mechanics, the calculus of variations, and the emergence of complex collective behaviors in nonequilibrium systems. He has made influential contributions to the understanding of criticality, pattern formation, and active matter, including the mechanics of muscles, molecular motors, and morphogenesis. Educated at Moscow University and the Academy of Sciences of Russia, he has held academic positions at Harvard University, the University of Minnesota, and École Polytechnique before joining ESPCI.

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