G. Misiołek

activity

20022026

most citedIntegrable evolution equations on spaces of tensor densities and their peakon solutions

94 citations · 255 across the 23 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.AP2014★ 2 cited

Loss of continuity of the solution map for the Euler equations in $α$ -modulation and Hölder spaces

Gerard Misiołek, Tsuyoshi Yoneda

We study the incompressible Euler equations in the $α$ -modulation $M_{p, q}^{s, α}$ and Hölder $C^{1 + σ}$ spaces on the plane. We show that for these spaces the associated data-to-sol…

math.AP2014★ 2 cited

Local ill-posedness of the Euler equations in $B_{\infty, 1}^{1}$

Gerard Misiołek, Tsuyoshi Yoneda

We show that the incompressible Euler equations on $R^{2}$ are not locally well-posed in the sense of Hadamard in the Besov space $B_{\infty, 1}^{1}$ . Our approach relies on th…

math.AP2014★ 8 cited

Ill-posedness of the incompressible Euler equations in the $C^{1}$ space

Gerard Misiołek, Tsuyoshi Yoneda

We prove that the 2D Euler equations are not locally well-posed in $C^{1}$ . Our approach relies on the technique of Lagrangian deformations and norm inflation of Bourgain and Li. We…

Loss of continuity of the solution map for the Euler equations in α-modulation and Hölder spaces

Local ill-posedness of the Euler equations in B∞,11​

Ill-posedness of the incompressible Euler equations in the C1 space

Loss of continuity of the solution map for the Euler equations in $α$ -modulation and Hölder spaces

Local ill-posedness of the Euler equations in $B_{\infty, 1}^{1}$

Ill-posedness of the incompressible Euler equations in the $C^{1}$ space