5 papers
Nonlinear profiles on solutions to the surface quasi-geostrophic equation
Masakazu Yamamoto
The quasi-geostrophic equation is well known as a model for predicting potential temperature around low-pressure systems in high-latitude regions. When diffusion effects are added…
Characteristics of drift effects arising from nonlinear symmetry of the quasi-geostrophic equation
Masakazu Yamamoto
This paper compares two similar diffusion equations that appear in meteorology. One is the quasi-geostrophic equation, and the other is the convection-diffusion equation. Both are…
Nonlinear distortion of symmetry in solutions to the convection-diffusion equation of Burgers type
Masakazu Yamamoto
In this paper, the initial value problem of the convection-diffusion equation of Burgers type is treated. In the asymptotic profile of solutions, the nonlinearity of the equation i…
Logarithmic evolutions on the incompressible Navier--Stokes flow
Masakazu Yamamoto
Through the asymptotic expansion, the large-time behavior of the incompressible Navier-Stokes flow in -dimensional whole space is drawn. In particular, the logarithmic evolution…
Parabolic-scalings on large-time behavior of the incompressible Navier--Stokes flow
Masakazu Yamamoto
Through asymptotic expansion, the large-time behavior of incompressible Navier--Stokes flow in -dimensional whole space is depicted. Especially, from their parabolic scalings, l…