3 papers
math.AP2017
Two dimensional solitary waves in shear flows
Amin Esfahani, Ademir Pastor
In this paper we study existence and asymptotic behavior of solitary-wave solutions for the generalized Shrira equation, a two-dimensional model appearing in shear flows. The metho…
math.AP2017
Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications
Amin Esfahani, Ademir Pastor
In this paper we establish the best constant of an anisotropic Gagliardo-Nirenberg-type inequality related to the Benjamin-Ono-Zakharov-Kuznetsov equation. As an application of our…
math.AP2011
The Cauchy problem for the DMKP equation
Amin Esfahani
In this work, we study the dissipation-modified Kadomtsev-Petviashvili equation in two space-dimensional case. We establish that the Cauchy problem for this equation is locally wel…