Event date： 2021.11 - 2021.12

Language：English   Presentation type：Oral presentation (invited, special)  

Venue：Online   Country：Japan  

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Other Link： http://www.sgu-mathphys.sci.waseda.ac.jp/event/ws2021/pdf/abstract_WS2021.pdf

Event date： 2021.9

Language：Japanese   Presentation type：Oral presentation (general)  

Venue：Online   Country：Japan  

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Other Link： https://www.mathsoc.jp/assets/pdf/activity/meeting/chiba21sept/program/prog21sept_ja_20210810.pdf

Event date： 2021.8 - 2021.9

Language：Japanese   Presentation type：Oral presentation (general)  

Venue：Online   Country：Japan  

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Other Link： http://www2.kobe-u.ac.jp/~ueda/Wakate42/2021wakate_program.pdf

Language：Japanese   Presentation type：Oral presentation (invited, special)  

Venue：Institute of Science Tokyo   Country：Japan  

We consider the nonhomogeneous boundary value problem for the steady-state Navier-Stokes equations under the slip boundary conditions in a two-dimensional bounded domain with multiple boundary components. By the incompressibility condition on the fluid, the total flux of the given boundary datum through the boundary must be zero. We prove that this problem admits at least one solution if the friction coefficient is sufficiently large compared with the kinematic viscosity constant and the curvature of the boundary. No additional assumption (other than the necessary requirement of zero total flux through the boundary) is imposed on the boundary datum. This talk is based on the joint work with Prof. Giovanni P. Galdi (University of Pittsburgh).

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Language：English   Presentation type：Oral presentation (invited, special)  

Venue：Waseda University   Country：Japan  

We consider the nonhomogeneous boundary value problem for the steady Navier-
Stokes equations under the slip boundary conditions in a two-dimensional bounded
domain with multiple boundary components. By the incompressibility condition of the
fluid, the total flux of the given boundary datum through the boundary must be zero.
We prove that this problem has a solution if the friction coefficient is sufficiently large
compared with the kinematic viscosity constant and the curvature of the boundary. No
additional assumption (other than the necessary requirement of zero total flux through
the boundary) is imposed on the boundary data. We also show that such an assumption
on the friction coefficient is redundant for the existence of a solution in the case when
the fluxes across each connected component of the boundary are sufficiently small, or
the domain and the given data satisfy certain symmetry conditions. This talk is based
on the joint work with Prof. Giovanni P. Galdi (University of Pittsburgh).

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Other Link： https://soliton.w.waseda.jp/twjw2024.pdf

Language：English   Presentation type：Oral presentation (invited, special)  

Venue：University of Pittsburgh   Country：United States  

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Language：Japanese   Presentation type：Oral presentation (invited, special)  

Venue：Ochanomizu University   Country：Japan  

We consider the nonhomogeneous boundary value problem for the steady Navier-Stokes equations under the slip boundary conditions in a two-dimensional bounded domain with multiple boundary components. By the incompressibility condition of the fluid, the total flux of the given boundary datum through the boundary must be zero. We prove that this problem has a solution if the friction coefficient is sufficiently large compared with the kinematic viscosity constant and the curvature of the boundary. No additional assumption (other than the necessary requirement of zero total flux through the boundary) is imposed on the boundary data. We also show that such an assumption on the friction coefficient is redundant for the existence of a solution in the case when the fluxes across each connected component of the boundary are sufficiently small, or the domain and the given data satisfy certain symmetry conditions. This talk is based on the joint work with Prof. Giovanni P. Galdi (University of Pittsburgh).

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Language：Japanese   Presentation type：Oral presentation (invited, special)  

Venue：Online   Country：Japan  

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Other Link： https://www.sci.kanagawa-u.ac.jp/math-phys/hmatsu/program(WakatePDE2022).pdf

Language：English   Presentation type：Oral presentation (invited, special)  

Venue：University of Pittsburgh   Country：United States  

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Other Link： https://www.mathematics.pitt.edu/sites/default/files/abstracts/20221107_abstract.pdf

Language：Japanese   Presentation type：Oral presentation (invited, special)  

Venue：Kyoto University   Country：Japan  

We consider the nonhomogeneous boundary value problem for the steady Navier-Stokes equations under the slip boundary conditions in a two-dimensional bounded domain with multiple boundary components. By the incompressibility condition of the fluid, the total flux of the given boundary datum through the boundary must be zero. We prove that this problem has a solution if the friction coefficient is sufficiently large compared with the kinematic viscosity constant and the curvature of the boundary. No additional assumption (other than the necessary requirement of zero total flux through the boundary) is imposed on the boundary datum. This talk is based on the joint work with Prof. Giovanni P. Galdi (University of Pittsburgh).

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Language：English   Presentation type：Oral presentation (invited, special)  

Venue：Institute of Science Tokyo   Country：Japan  

We consider the nonhomogeneous boundary value problem for the steady Navier-Stokes equations under the slip boundary conditions in a two-dimensional bounded domain with multiple boundary components. By the incompressibility condition of the fluid, the total flux of the given boundary datum through the boundary must be zero. We prove that this problem has a solution if the friction coefficient is sufficiently large compared with the kinematic viscosity constant and the curvature of the boundary. No additional assumption (other than the necessary requirement of zero total flux through the boundary) is imposed on the boundary datum. This talk is based on the joint work with Prof. Giovanni P. Galdi (University of Pittsburgh).

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Other Link： https://sites.google.com/view/nlpde-titech/abstract

Language：English   Presentation type：Oral presentation (invited, special)  

Venue：University of Pittsburgh   Country：United States  

We consider the nonhomogeneous boundary value problem for the stationary Navier-Stokes equations under the slip boundary conditions in a two-dimensional bounded domain with multiple boundary components. By the incompressibility condition of the fluid, the total flux of the given boundary datum through the boundary must be zero. It is shown that this problem admits at least one weak solution if the friction coefficient is sufficiently large compared with the kinematic viscosity constant and the curvature of the boundary. No additional assumption (other than the necessary requirement of zero total flux through the boundary) is imposed on the boundary datum. This talk is based on the joint work with Prof. Giovanni P. Galdi (University of Pittsburgh).

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Language：Japanese   Presentation type：Oral presentation (invited, special)  

Venue：Omiya Sonic City   Country：Japan  

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Language：Japanese   Presentation type：Oral presentation (invited, special)  

Venue：Nagoya University   Country：Japan  

We consider the nonhomogeneous boundary value problem for the steady Navier-Stokes equations under the slip boundary conditions in a two-dimensional bounded domain with multiple boundary components. By the incompressibility condition of the fluid, the total flux of the given boundary datum through the boundary must be zero. We prove that this problem has a solution if the friction coefficient is sufficiently large compared with the kinematic viscosity constant and the curvature of the boundary. No additional assumption (other than the necessary requirement of zero total flux through the boundary) is imposed on the boundary datum. This talk is based on the joint work with Prof. Giovanni P. Galdi (University of Pittsburgh).

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