Yuusuke Sugiyama

activity

20132026

most citedAsymptotic expansion of solutions to the drift-diffusion equation with fractional dissipation

4 citations · 9 across the 16 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AP2022

Global existence and Blow-up for the 1D damped compressible Euler equations with time and space dependent perturbation

Yuusuke Sugiyama

In this paper, we consider the 1D Euler equation with time and space dependent damping term $- a (t, x) v$ . It has long been known that when $a (t, x)$ is a positive constant or $0$ , the…

math.AP2022

Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case

Yuusuke Sugiyama

We study the Cauchy problem for the quasilinear wave equation $\partial_{t}^{2} u = u^{2 a} \partial_{x}^{2} u + F (u) u_{x}$ with $a \geq 0$ and show a result for the local in time existen…

math.AP2022

Formation of singularities for a family of 1D quasilinear wave equations

Yuusuke Sugiyama

We consider the blow-up of solutions to the following parameterized nonlinear wave equation: $u_{tt} = c (u)^{2} u_{xx} + λ c (u) c^{'} (u) (u_{x})^{2}$ with the real parameter $λ$ . In previo…