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).

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, A. Geyer, R. Quirchmayr, “Well posedness of a highly nonlinear shallow water equation”, in progress, 2018.

9. Duruk Mutlubaş N, “ On the Cauchy problem for the fractional Camassa-Holm equation”, Monatshefte für Mathematik (accepted), 2019.

ACADEMIC EVENTS

International Conference Publications

Borluk, N. Duruk Mutlubaş, “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”, 7th 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.