Publications

  1. Duruk N, Erkip A, Erbay HA , “A higher-order Boussinesq equation in locally nonlinear theory of one-dimensional nonlocal elasticity”, IMA Journal of Applied Mathematics 74, 97-106 (2009).
  1. Duruk N, Erkip A, Erbay HA ,“Global existence and blow-up for the nonlocal nonlinear Cauchy problem arising in elasticity”, Nonlinearity 23, 107-118 (2010).
  1. Duruk N, Erkip A, Erbay HA, “Blow-up and global existence for a general class of nonlocal nonlinear coupled wave  equations”, Journal of Differential Equations 250, 1448-1459 (2011).
  1. Duruk Mutlubas N, “On the Cauchy problem for a model equation for shallow water waves of moderate amplitude”, Nonlinear Analysis Real World Applications 14, 2022-2026 (2013).
  1. Duruk Mutlubaş N, Geyer A, “Orbital stability of solitary waves of moderate amplitude in shallow water” , Journal of Differential Equations 255, 254-263 (2013).
  1. Duruk Mutlubaş N, “Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude”, Nonlinear Analysis: Theory Methods and Applications 97, 145-154 (2014).
  1. Duruk Mutlubaş N, Geyer A., Matioc B-V., “Non-uniform continuity of the flow map for an evolution equation modeling shallow water waves of moderate amplitude”, Nonlinear Analysis Real World Applications 17, 322-331 (2014).
  1. Duruk Mutlubaş N, “ On the Cauchy problem for the fractional Camassa-Holm equation”, Monatshefte für Mathematik, 190 (4), 755-768 (2019).
  1. Duruk Mutlubaş N, Geyer A, Quirchmayr R, “Well posedness of a highly nonlinear shallow water equation on the circle”, Nonlinear Analysis, https://doi.org/10.1016/j.na.2020.111849 (2020).
  1. Duruk Mutlubaş N, “Erratum to: On the Cauchy problem for a model equation for shallow water waves of moderate amplitude” [Nonlinear Anal. RWA 14 (5) (2013) 2022–2026], 10.1016/j.nonrwa.2019.103073.
  1. Duruk Mutlubaş N, “Corrigendum to: Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude”, 10.1016/j.na.2019.111712.
  1. Duruk Mutlubaş N, Freire I, “The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation”, Applicable Analysis, 1080/00036811.2022.2057304 (2022).
  2. Duruk Mutlubas N, Freire I., “Existence and uniqueness of periodic pseudospherical surfaces emanating from Cauchy problems”. Proc. R. Soc. A 480:20230670, https://doi.org/10.1098/rspa.2023.0670 (2024).
  3. Ayhan N, Duruk Mutlubas N, “On the Cauchy problem for the dispersion generalized Camassa-Holm equation”, Applicable Analysis, 104 (6), 1063- 1076 (2025).
  4. Duruk Mutlubas N, Freire I. “Global solutions for a nonlocal integrable equation with applications to geometry”, https://arxiv.org/abs/2505.12232, (2025).
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