Gerard Misiołek

most citedIll-posedness of the incompressible Euler equations in the

C^{1}

space

8 citations · 10 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2016

The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary

James Benn, Gerard Misiolek, Stephen C. Preston

We prove that the Riemannian exponential map of the right-invariant $L^{2}$ metric on the group of volume-preserving diffeomorphisms of a two-dimensional manifold with a nonempty bou…

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★ 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…

The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary

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

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

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