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Julian Braun

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Julian Braun

Research Fellow
 
Office: B2.40
Phone: +44 (0)24 761 50772
Email: j dot braun at warwick dot ac dot uk

Teaching responsibilities 2018/19:
Term 2:
MA3G1 Theory of PDEs

Research Interests:
Atomistic Modelling, Crystalline Defects, Multiscale Methods, Calculus of Variations, PDEs

Publications:

  • An atomistic derivation of von-Kármán plate theory. With B. Schmidt. 2019, [preprint].
  • Sharp Uniform Convergence Rate of the Supercell Approximation of a Crystalline Defect. With C. Ortner. 2018, [preprint].
  • Thermodynamic Limit of the Transition Rate of a Crystalline Defect. With M.H. Duong and C. Ortner. 2018, [preprint].
  • The Effect of Crystal Symmetries on the Locality of Screw Dislocation Cores. With M. Buze and C. Ortner. SIAM J. Math. Anal., 51(2), 1108–1136, 2019, [pdf], [URL].
  • Connecting Atomistic and Continuous Models of Elastodynamics. Archive for Rational Mechanics and Analysis 224(3): 907-953, 2017, [preprint], [URL].
  • Existence and Convergence of Solutions of the Boundary Value Problem in Atomistic and Continuum Nonlinear Elasticity Theory. With B. Schmidt, Calculus of Variations and Partial Differential Equations 55(5): 1-36, 2016, [preprint], [URL].
  • On the Passage from Atomistic Systems to Nonlinear Elasticity Theory for General Multi-Body Potentials with p-Growth.
    With B. Schmidt, Networks and Heterogeneous Media 8(4): 879-912, 2013, [pdf], [URL].