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).

2. 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).

3. 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).

4. 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).

5. Duruk Mutlubaş N, Geyer A, “Orbital stability of solitary waves of moderate amplitude in shallow water” , *Journal of Differential Equations* **255, **254-263 (2013).

6. 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).

7. 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).

8. Duruk Mutlubaş N, “ On the Cauchy problem for the fractional Camassa-Holm equation”, Monatshefte für Mathematik, DOI: 1007/s00605-019-01278-6, 2019.

9. Duruk Mutlubaş N, Geyer A, Quirchmayr R, “Well posedness of a highly nonlinear shallow water equation on the circle”, submitted, 2019.

__10. __Duruk Mutlubaş N, “Global existence of small amplitude solutions for a class of nonlocal dispersive type equations”, in progress, 2019.

__ACADEMIC EVENTS__

__International Conference Publications__

Duruk Mutlubaş N, “On the Periodic Solutions to a Highly __Nonlinear__ Shallow Water Equation”, *Equadiff 19, *Abstracts, Leiden, Netherlands, 2019.

Borluk H, Duruk Mutlubaş N, “On the stability of traveling wave solutions to the Fornberg-Whitham equation”, Conference on Mathematics of Wave Phenomena, Abstracts, Karlsruhe, Germany, 2018.

Duruk Mutlubaş N, “Cauchy problem for fractional-type Camassa-Holm equation”, Workshop on Nonlinear Pdes in Applied Mathematics, Abstracts, İzmir, Turkey, 2016.

Duruk Mutlubaş N, “ On the local well-posedness of fractional-type Camassa-Holm equation”, 7^{th} European Congress of Mathematics, Abstracts, Berlin, Germany, 2016.

Duruk Mutlubaş N, Erbay HA, Erkip A, “Some qualitative properties of a fractional-type Camassa-Holm equation”, *Equadiff 15, *Abstracts, page 177, Lyon, France, 2015.

Duruk Mutlubaş N, Geyer A, “Orbital stability of solitary waves of moderate amplitude in shallow water”, *SIAM Conference on Nonlinear Waves and Coherent Structures, *Abstracts, page 132, Cambridge, UK, 2014 (Nonlinear Dispersive Wave Equations Minisymposium).

** **Duruk Mutlubaş N, “On periodic solutions of a model equation for surface waves of moderate amplitude in shallow water”, *SIAM Conference on Nonlinear Waves and Coherent Structures, *Abstracts, page 69, Cambridge, UK, 2014.

Geyer A, Duruk Mutlubaş N, “Orbital stability of solitary waves of moderate amplitude in shallow water”, *SIAM Conference on Analysis of Partial Differential Equations*, Abstracts, page 60, Florida, ABD, 2013.

Duruk Mutlubaş N, “On periodic solutions of a model equation for surface waves of moderate amplitude in shallow water”, *Equadiff 13*, Abstracts, page 201, Prague, Czech Republic, 2013.

Erkip A, Babaoğlu C, Borluk H, Duruk N, Erbay HA, Erbay S, Muslu G, “On some nonlocal nonlinear wave equations”, *Workshop on Nonlocal Models and Peridynamics*, Abstracts, page 8, Berlin, Germany, 2012.

Erbay HA, Duruk N and Erkip A, “Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations”, *SIAM Conference on Analysis of Partial Differential Equations*, Abstracts, page 75, San Diego, USA, 2011.

ERBAY HA, Duruk N, Erbay S, Erkip A, “Global existence and blow-up results for some problems in nonlinear nonlocal elasticity”, *Mini-Workshop:Mathematical Analysis for Peridynamics*, Report No: 4/2011, page 187, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, 2011.

Erkip A, Babaoğlu C, Borluk H, Duruk N, Erbay H, Erbay S, Muslu GM, “A review of some results on a class of nonlocal nonlinear wave-type Cauchy problems”, *Nonlinear Dispersive Equations*, Book of Abstracts, page 7, Istanbul, Turkey, 2010.

Duruk N, Erbay HA, Erkip A, “Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations”, *Nonlinear Dispersive Equations*, Book of Abstracts, page 14, Istanbul, Turkey, 2010.

Duruk N, Erbay HA, Erkip A, “Global existence and blow-up for the nonlocal nonlinear Cauchy problem arising in elasticity”, *ISAAC*, Abstracts, page , Londra, UK, 2009.

Duruk N, Erkip A, Erbay HA, “A higher-order Boussinesq equation in locally nonlinear theory of one-dimensional nonlocal elasticity”, Book of Abstracts, page 21, *Nonlinear Dispersive Equations*, Istanbul, Turkey, 2008.

Erkip A, Duruk N, Erbay HA, “Cauchy problem for a higher-order Boussinesq equation”, Abstracts for ICIAM 07, page 366, *6th International Congress on Industrial and Applied Mathematics*, Zurich, Switzlerland, 2007.

__National Conference Publications__

Duruk Mutlubaş N, “Kısmi türevli evolüsyon denklemleri için yarıgrup yaklaşımı”, *XXVII. Ulusal Matematik Sempozyumu, *Özetler kitabı, sayfa ?, Yeditepe Üniversitesi, İstanbul, Türkiye, 2014 (Invited speaker for special session on **Operator Theory**).

Duruk Mutlubaş N, “Orta Dereceli Genlikte Yüzey Dalga Denklemlerinin Periyodik Çözümleri”, *XXVI. National Mathematics Symposium, *Book of Abstracts, page 88, Diyarbakır, Turkey, 2013.

Duruk N, Erbay HA, Erkip A, “Doğrusal olmayan kuple integro-diferansiyel dalga denklemleri için global varlık ve patlama”, *XXIII. National Mathematics Symposium*, Book of Abstracts, page 182, Kayseri, Turkey, 2010.

Duruk N, Erbay HA, Erkip A, “Yerel olmayan Cauchy problem ailesi için global varlık ve patlama”, *XXII. National Mathematics Symposium*, Book of Abstracts, page 42, Selçuk, İzmir, Turkey, 2009.

Duruk N, Erbay HA, Erkip A, “Yerel olmayan elastisite için bir Cauchy problemi”, *XXI. National Mathematics Symposium*, Book of Abstracts, page 78, Istanbul, Turkey, 2008.

Duruk N, Erbay HA, Erkip A, “Yüksek mertebe Boussinesq denklemi için Cauchy problemi”, *XX. National Mathematics Symposium*, Book of Abstracts, page 106, Erzurum, Turkey, 2007.