Petr Pelech

Dr. Petr Pelech is a researcher at the Faculty of Mathematics and Physics, Charles University (since 2023), and previously at the Weierstrass Institute for Applied Analysis and Stochastics (2020-2022) in the Partial Differential Equations research group. His work spans calculus of variations, continuum thermodynamics, and nonlocal mechanics, with a focus on variational methods for inelastic material modeling.

• Doctoral degree in Variational Methods in Thermomechanics of Solids (Charles University, 2020)
• M.Sc. in Mathematical Modelling (Charles University, 2016)
• B.Sc. in Mathematics (Charles University, 2014)

Research interests primarily involve:

• Rate-independent processes in large-strain inelasticity
• Gradient flows in Banach spaces via minimizing movement schemes
• GENERIC framework for visco-elasto-plastic fluid-solid modeling
• Peridynamics (nonlocal solid mechanics)
• Thermodynamic consistency in generalized standard solids

Recent publications demonstrate interdisciplinary applications in:

• Biological systems (bacterial division site morphogenesis)
• Shape memory alloys modeling
• Non-equilibrium thermodynamics
• Nonlocal-to-local transitions in mechanics

His methodological focus combines variational principles with thermodynamic frameworks, emphasizing both mathematical rigor and physical consistency in modeling complex material behaviors.