Add to ORKGWe use a novel transformation of the reduced Ostrovsky equation to the integrable Tzitzeica equation and prove global existence of small-norm solutions in Sobolev space H3(R). This scenario is an alternative to finite-time wave breaking of large-norm solutions of the reduced Ostrovsky equation. We also discuss a sharp sufficient condition for the finite-time wave breaking
The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid ...
Periodic travelling waves are considered in the class of reduced Ostrovsky equations that describe l...
The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid ...
AbstractIt is shown that the data-to-solution map for the generalized reduced Ostrovsky (gRO) equati...
AbstractWe consider the Cauchy problem of the Ostrovsky equation. We first prove the time local well...
AbstractWe consider the generalized Ostrovsky equation utx=u+(up)xx. We show that the equation is lo...
We investigate the initial value problem (IVP) associated to the equation \begin{equation*} u_{t}...
∗The author was partially supported by Alexander von Humboldt Foundation and the Contract MM-516 wit...
In this paper, we study the Ostrovsky, Stepanyams and Tsimring equation. We show that the associated...
AbstractWe consider the Cauchy problem of the Ostrovsky equation. We first prove the time local well...
Abstract. The local and global well-posedness for the Cauchy problem for a class of nonlinear wave e...
Author Posting. © The Author(s), 2012. This is the author's version of the work. It is posted here ...
The Ostrovsky equation is an important canonical model for the unidirectional propagation of weakly ...
The Ostrovsky equation is an important canonical model for the unidirectional propagation of weakly ...
The Ostrovsky equation is an important canonical model for the unidirectional propagation of weakly ...
The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid ...
Periodic travelling waves are considered in the class of reduced Ostrovsky equations that describe l...
The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid ...
AbstractIt is shown that the data-to-solution map for the generalized reduced Ostrovsky (gRO) equati...
AbstractWe consider the Cauchy problem of the Ostrovsky equation. We first prove the time local well...
AbstractWe consider the generalized Ostrovsky equation utx=u+(up)xx. We show that the equation is lo...
We investigate the initial value problem (IVP) associated to the equation \begin{equation*} u_{t}...
∗The author was partially supported by Alexander von Humboldt Foundation and the Contract MM-516 wit...
In this paper, we study the Ostrovsky, Stepanyams and Tsimring equation. We show that the associated...
AbstractWe consider the Cauchy problem of the Ostrovsky equation. We first prove the time local well...
Abstract. The local and global well-posedness for the Cauchy problem for a class of nonlinear wave e...
Author Posting. © The Author(s), 2012. This is the author's version of the work. It is posted here ...
The Ostrovsky equation is an important canonical model for the unidirectional propagation of weakly ...
The Ostrovsky equation is an important canonical model for the unidirectional propagation of weakly ...
The Ostrovsky equation is an important canonical model for the unidirectional propagation of weakly ...
The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid ...
Periodic travelling waves are considered in the class of reduced Ostrovsky equations that describe l...
The Ostrovsky-Hunter equation provides a model for small-amplitude long waves in a rotating fluid ...