Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Koike, Kai"'
We consider a viscous compressible barotropic flow in the interval $[0,\pi]$ with homogeneous Dirichlet boundary conditions for the flow velocity and a constant rest state as initial data. Given two sufficiently close subintervals $I=[\alpha_1,\alpha
Externí odkaz:
http://arxiv.org/abs/2407.19210
Autor:
Koike, Kai
Publikováno v:
Arch. Rational Mech. Anal. 247, 81 (2023)
We construct a time-asymptotic expansion with pointwise remainder estimates for solutions to 1D compressible Navier--Stokes equations. The leading-order term is the well-known diffusion wave and the higher-order terms are newly introduced family of w
Externí odkaz:
http://arxiv.org/abs/2211.14121
Autor:
Koike, Kai
We study the long-time behavior of \textit{several} point particles in a 1D viscous compressible fluid. It is shown that the velocities of the point particles all obey the power law $t^{-3/2}$. This result extends author's previous works on the long-
Externí odkaz:
http://arxiv.org/abs/2111.07660
Autor:
Koike, Kai
We study the long-time behavior of a point mass moving in a one-dimensional viscous compressible fluid. Previously, we showed that the velocity of the point mass $V(t)$ satisfies a decay estimate $V(t)=O(t^{-3/2})$~[K. Koike, J. Differential Equation
Externí odkaz:
http://arxiv.org/abs/2010.06578
Autor:
Koike, Kai
We consider the motion of a point mass in a one-dimensional viscous compressible barotropic fluid. The fluid--point mass system is governed by the barotropic compressible Navier--Stokes equations and Newton's equation of motion. Our main result conce
Externí odkaz:
http://arxiv.org/abs/1904.00992
Autor:
Koike, Kai
Linear motion of a rigid body in a special kind of Lorentz gas is mathematically analyzed. The rigid body moves against gas drag according to Newton's equation. The gas model is a special Lorentz gas consisting of gas molecules and background obstacl
Externí odkaz:
http://arxiv.org/abs/1802.04414
Autor:
Koike, Kai1 (AUTHOR) koike.k@math.titech.ac.jp
Publikováno v:
Archive for Rational Mechanics & Analysis. Oct2023, Vol. 247 Issue 5, p1-33. 33p.
Autor:
Koike, Kai
Motion of a rigid body immersed in a semi-infinite expanse of gas in a $d$-dimensional region bounded by an infinite plane wall is studied for free molecular flow on the basis of the free Vlasov equation under the specular boundary condition. We show
Externí odkaz:
http://arxiv.org/abs/1703.07863
Autor:
KOIKE, KAI
Publikováno v:
数理解析研究所講究録. 2205:10-33
We present results on the long-time behavior of a point mass moving in a ID viscous compressible fluid. In a previous work, we showed that the velocity V(t) of the point mass decays at least as t⁻³/² . In this note, we give a necessary and suffic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::6dfdb5841fdd5500f1be714b013c21a4
http://hdl.handle.net/2433/267823
http://hdl.handle.net/2433/267823