4 citations · 9 across the 7 of their papers we have counts for
7 papers
Time evolution of the Navier-Stokes flow in far-field
Masakazu Yamamoto
Asymptotic expansion in far-field for the incompressive Navier-Stokes flow are established. Under moment conditions on the initial vorticity, technique of renormalization together…
The backward problem for time fractional evolution equations
S. E. Chorfi, L. Maniar, M. Yamamoto
In this paper, we consider the backward problem for fractional in time evolution equations with the Caputo derivative of order , where is a…
Optimal estimates for far field asymptotics of solutions to the quasi-geostrophic equation
Masakazu Yamamoto, Yuusuke Sugiyama
The initial value problem for the two dimensional dissipative quasi-geostrophic equation of the critical and the supercritical cases is considered. Anomalous diffusion on this equa…
Spatial-decay of solutions to the quasi-geostrophic equation with the critical and the super-critical dissipation
Masakazu Yamamoto, Yuusuke Sugiyama
The initial value problem for the two dimensional dissipative quasi-geostrophic equation derived from geophisical fluid dynamics is studied. The dissipation of this equation is giv…
Large-time behavior and far field asymptotics of solutions to the Navier-Stokes equations
Masakazu Yamamoto
Asymptotic expansions of global solutions to the incompressible Navier-Stokes equation as tends to infinity with high-order is studied and large-time behavior of the expansion…
Large-time asymptotics of a fractional drift-diffusion-Poisson system via the entropy method
Franz Achleitner, Ansgar Jüngel, Masakazu Yamamoto
The self-similar asymptotics for solutions to the drift-diffusion equation with fractional dissipation, coupled to the Poisson equation, is analyzed in the whole space. It is shown…
Asymptotic expansion of solutions to the drift-diffusion equation with fractional dissipation
Masakazu Yamamoto, Yuusuke Sugiyama
The initial-value problem for the drift-diffusion equation arising from the model of semiconductor device simulations is studied. The dissipation on this equation is given by the f…