16 citations · 16 across the 3 of their papers we have counts for
6 papers
On the local well--posedness of the two component -family of equations
Hasan Inci
In this paper we consider the two component -family of equations on . We write the equations on a Sobolev type diffeomorphism group. As an application of this formula…
On the regularity of the solution map of the Euler-Poisson system
Hasan Inci
In this paper we consider the Euler-Poisson system (describing a plasma made of ions with a negligible ion temperature) on the Sobolev spaces , . Using a geomet…
Nowhere-differentiability of the solution map of 2D Euler equations on bounded spatial domain
Hasan Inci, Y. Charles Li
We consider the incompressible 2D Euler equations on bounded spatial domain , and study the solution map on the Sobolev spaces (). Through an elaborate geometric…
On the regularity of the solution map of the porous media equation
Hasan Inci
In this paper we consider the incompressible porous media equation in the Sobolev spaces . We prove that for the time solution map …
On the regularity of the solution map of the incompressible Euler equation
Hasan Inci
In this paper we consider the incompressible Euler equation on the Sobolev space , , and show that for any its solution map , mappin…
On the well-posedness of the incompressible Euler Equation
Hasan Inci
In this thesis we prove that the homogeneous incompressible Euler equation of hydrodynamics on the Sobolev spaces , and , can be expressed as a geo…