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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…