Julian Braun

Julian Braun is an Assistant Professor in the Department of Mathematics at Heriot-Watt University, Edinburgh, within the School of Mathematical and Computer Sciences. His research focuses on the mathematical analysis of multiscale models in solid mechanics, particularly the coupling of atomistic and continuum frameworks for crystalline materials.

His primary research domains include:

• Elasticity and nonlinear problems
• Crystal defects and boundary conditions
• Convergence analysis and asymptotic expansions
• Atomistic-to-continuum coupling methods
• Multiscale simulation techniques
• Mathematical derivation of reduced models

Analysis of his 2020-2025 publications reveals consistent emphasis on rigorous mathematical treatment of crystalline defects, with particular attention to boundary condition formulations, far-field expansions, and convergence properties in multiscale simulations. His work bridges abstract mathematical theory with practical computational mechanics challenges in materials science.

Publications appear in high-impact venues including SIAM Journal on Numerical Analysis and Archive for Rational Mechanics and Analysis, demonstrating significant contributions to numerical analysis and continuum mechanics with cumulative citations exceeding 20 in Scopus-indexed literature.