3 citations · 6 across the 5 of their papers we have counts for
5 papers
Nondegeneracy of ground states for nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies in three and four dimensions
Takafumi Akahori, Miho Murata
We consider nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies . Since the limiting profile of the ground state as is the…
Global well posedness for a Q-tensor model of nematic liquid crystals
Miho Murata, Yoshihiro Shibata
In this paper, we prove the global well posedness and the decay estimates for a -tensor model of nematic liquid crystals in , . This system is cou…
Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent and a large frequency parameter in three and four dimensions
Takafumi Akahori, Miho Murata
We prove the uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent and a large frequency parameter. This stud…
The global well-posedness of the compressible fluid model of Korteweg type for the critical case
Takayuki Kobayashi, Miho Murata
In this paper, we consider the compressible fluid model of Korteweg type in a critical case where the derivative of pressure equals to at the given constant state. It is shown…
The global well-posedness for the compressible fluid model of Korteweg type
Miho Murata, Yoshihiro Shibata
In this paper, we consider the compressible fluid model of Korteweg type which can be used as a phase transition model. It is shown that the system admits a unique, global strong s…