Hideyuki Miura

most citedRemark on single exponential bound of the vorticity gradient for the two-dimensional Euler flow around a corner

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

collaborators

2 papers

math.AP2023

Critical norm blow-up for the energy supercritical nonlinear heat equation

Hideyuki Miura, Jin Takahashi

We address the critical norm blow-up problem for the nonlinear heat equation $u_{t} - Δ u = ∣ u ∣^{p - 1} u$ in $R^{n} \times (0, T)$ . In the supercritical range $p > (n + 2) / (n - 2)$ , we prove…

math.AP2014★ 2 cited

Remark on single exponential bound of the vorticity gradient for the two-dimensional Euler flow around a corner

Tsubasa Itoh, Hideyuki Miura, Tsuyoshi Yoneda

In this paper, the two dimensional Euler flow under a simple symmetry condition with hyperbolic structure in a unit square $D = {(x_{1}, x_{2}) : 0 < x_{1} + x_{2} < 2, 0 < - x_{1} + x_{2} < 2}$ …