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20152021
most citedDecay properties of solutions to the Cauchy problem for the scalar conservation law with nonlinearly degenerate viscosity

1 citations · 2 across the 4 of their papers we have counts for

collaborators

6 papers

math.AP2021

Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin-Bona-Mahony-Burgers equation with dissipative term

Natsumi Yoshida

In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem with the far field condisiton for the generalized Benjamin-Bona-Mahony-Burgers equation wit…

math.AP20211 cited

Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law

Natsumi Yoshida

In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation laws where the far field state…

math.AP2019

Global structure of solutions toward the rarefaction waves for the Cauchy problem of the scalar conservation law with nonlinear viscosity

Natsumi Yoshida

In this paper, we investigate the global structure of solutions to the Cauchy problem for the scalar viscous conservation law where the far field states are prescribed. Especially,…

math.AP2018

Global asymptotics toward rarefaction waves for solutions of the scalar conservation law with nonlinear viscosity

Akitaka Matsumura, Natsumi Yoshida

In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar viscous conservation law where the far field states are prescribed. Especial…

math.AP2015

Decay properties of solutions toward a multiwave pattern to the Cauchy problem for the scalar conservation law with degenerate flux and viscosity

Natsumi Yoshida

In this paper, we study the precise decay rate in time to solutions of the Cauchy problem for the one-dimensional conservation law with a nonlinearly degenerate viscosity where the…

math.AP20151 cited

Decay properties of solutions to the Cauchy problem for the scalar conservation law with nonlinearly degenerate viscosity

Natsumi Yoshida

In this paper, we study the decay rate in time to solutions of the Cauchy problem for the one-dimensional viscous conservation law where the far field states are prescribed. Especi…