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PUBLICATIONS

• A rigorous derivation of mean-field models for diblock copolymer melts
  Calc. Var. and PDE, 39 (2010), 273-305
  (with Y. Oshita), Preprint


• Dynamics and self-similarity in min-driven clustering
  Trans. AMS, 362, 12 (2010), 6551-6590
  (with G. Menon and R.L. Pego) Preprint on arXiv


• Self-similar rupture of viscous thin films in the strong slip regime
  Nonlinearity, 23 2 (2010), 409-427
  (with D. Peschka and A. Münch), Preprint


• Crossover in coarsening rates for the Mullins-Sekerka model with kinetic drag
  Proc. Roy. Soc. Edinb. Ser. A, 140 A (2010), 553-571
  (with S. Dai and R.L. Pego), Preprint


• Thin film rupture for large slip
  J. Engr. Math, 66 3 (2010), 33-51
  (with D. Peschka and A. Münch)


• On the influence of encounters in domain coarsening
  ZAMM, 90 4 (2010), 259-270


• Self-similar solutions of the LSW model with encounters
  J. Differential Equations, 247 (2009), 2282-2309
  (with M. Herrmann and J.J.L. Velazquez) Preprint on arXiv


• Self-similar solutions with fat tails in a coagulation model with nonlocal drift
  Comptes Rendus Mathematique, 347 (15/16) (2009), 909-914
  (with M. Herrmann and P. Laurencot), Preprint on arXiv


• A kinetic model for grain growth
  Kinetic and Related Models, 1 4 (2008), 591-617 (with R. Henseler, M. Herrmann and J.J.L. Velazquez), Preprint on arXiv


• Evolution in off-critical diblock-copolymer melts
  Networks and Heterogeneous Media , 3 3 (2008), 615-632 (with M. Helmers and X. Ren), Preprint Version


• On screening induced fluctuations in Ostwald ripening
  J. Stat. Phys. 130,3 (2008), 415-453 (with J.J.L. Velazquez)


• Effective theories for Ostwald ripening
  in P. Mörters et al. (Ed.), Analysis and Stochastics of Growth Processes and Interface Models, Oxford University Press (2008), 223-242


• Global stability and bounds for coarsening rates within the mean-field theory for domain coarsening
  Comm. Partial Differential Equations, 31 10-12 (2006), 1679-1708 (with J.J.L. Velazquez)


• Screening in interacting particle systems
  Arch. Rat. Mech. Anal., 180 3 (2006), 493-506 (with J.J.L. Velazquez)


• Nonuniversality in low volume fraction Ostwald Ripening
  J. Stat. Phys., 124 (2006), 231-259 (with S. Conti, A. Hönig and F. Otto)


• On a thermodynamically consistent modification of the Becker-Döring equations
  Physica D, 222 (2006), 116-130 (with M. Herrmann and M. Naldzhieva)


• On the effect of correlations, fluctuations and collisions in Ostwald Ripening
  in: A. Mielke (Ed.), Analysis, Modeling and Simulation of Multiscale Problems. Springer Berlin, (2006), 501-530 (with F. Otto and J.J.L. Velazquez)


• Multiple Scales in phase separating systems with elastic misfit
  in: A. Mielke (Ed.), Analysis, Modeling and Simulation of Multiscale Problems. Springer Berlin, (2006), 153-178 (with H. Garcke, M. Lenz, M. Rumpf and U. Weikard)


• On the convergence to the smooth self-similar solution in the LSW model
  Indiana Univ. Math. J., 55 (2006), 761-794 (with J.J.L. Velazquez)


• Coarsening rates in off-critical mixtures
  SIAM J. Math. Anal., 37 (2006), 1732-1741 (with S. Conti and F. Otto)


• Well-posedness and measure transport in a family of nonlocal domain coarsening models
  Indiana Univ. Math. J., 54 2 (2005), 499-530 (with R.L. Pego)


• On first order corrections to the LSW-theory I: infinite systems
  J. Stat. Phys., 119 1/2 (2005), 61-122 (with A. Hönig and F. Otto)


• On first order corrections to the LSW-theory II: finite systems
  J. Stat. Phys., 119 1/2 (2005), 123-164 (with A. Hönig and F. Otto)


• A scaling limit of the Becker-Döring equations in the regime of small excess density
  J. Nonlinear Science, 14 5 (2004), 453-468


• Global well-posedness for an inhomogeneous LSW-model in unbounded domains
  Math. Annalen, 328 3 (2004), 481-501 (with J.J.L. Velazquez)


• Homogenization in coarsening systems I: determinstic case
  Math. Mod. Meth. Appl. Sc., 14 8 (2004), 1211-1233 (with J.J.L. Velazquez)


• Homogenization in coarsening systems II: stochastic case
  Math. Mod. Meth. Appl. Sc., 14 9 (2004), 1-24 (with J.J.L. Velazquez)


• Macroscopic limits of the Becker-Döring equations
  Communications in Mathematical Sciences, suppl. (2004), 85-92


• A reduced model for simulating grain growth
  International Series of Numerical Mathematics, Birkhäuser, Vol. 147 (2003), 177-187 (with R. Henseler and F. Otto)


• On the evolution of large clusters in the Becker-Döring model
  J. Nonlinear Science, 13 1 (2003), 115-155


• On the rate of convergence to equilibrium in the Becker-Döring equations
  J. Differential Equations, 191/2 (2003), 518-543 (with P.E. Jabin)


• Transient coarsening behavior in the Cahn-Hilliard model
  Acta Materialia 51 10 (2003), 2823-2830 (with H. Garcke, M. Rumpf and U. Weikard)


• Correctors and error estimates in the homogenization of a Mullins-Sekerka problem
  Ann. Inst. Henri Poincare, Anal. Non Lineaire, 19 4 (2002), 371-393 (with Adriana Garroni)


• The mathematics of Ostwald ripening
  Geometric Analysis and Nonlinear Differential Equations,
  S. Hildebrandt, H. Karcher, ed., Springer (2002), 649-663


• Self-similarity and instability in classical mean-field models for domain coarsening
  Proc. Angew. Math. Mech., 1 1 (2002), 407-410


• The LSW-model for domain coarsening: Asymptotic behavior for total conserved mass
  J. Stat. Phys, 104 5/6 (2001), 1113-1144 (with Robert L. Pego)


• Domain coarsening in thin films
  Comm. Pure Appl. Math., 54 3 (2001), 361-384 (with Felix Otto)


• Ostwald Ripening: The screening length revisited
  Calc. Var. Partial Differ. Equ., 13 1 (2001), 33-68 (with Felix Otto)


• The LSW-model for Ostwald-Ripening with kinetic undercooling,
  Proc. R. Soc. Edinb., 130 A (2000), 1337-1361


• Geometrically nonlinear shape-memory polycrystals made from a two-variant material
  M2AN, Math. Model. Numer. Anal., 34 2 (2000), 377-398 (with Robert V. Kohn)


• On the initial-value problem in the Lifshitz-Slyozov-Wagner theory of Ostwald Ripening
  SIAM J. Math. Anal., 31 3 (2000), 467-485 (with Robert L. Pego)


• Derivation of the LSW-Theory for Ostwald-Ripening by Homogenization Methods
  Arch. Ration. Mech. Anal., 147 2 (1999), 119-178


• Non-self-similar behavior in the LSW theory of Ostwald Ripening,
  J. Stat. Phys., 95 5/6 (1999), 867-902 (with Robert L. Pego)


• Existence and uniqueness of radially symmetric stationary points within the gradient theory of phase transition
  Eur. J. Appl. Math, 6 (1995), 45-67

Theses

• On the dynamics of the Becker-Döring equations
  Habilitation Thesis, University of Bonn (2002)


• Approximation of Coarsening Models by Homogenization of a Stefan Problem
  PhD Thesis, University of Bonn (1996)