J. Holmes

activity

20162021

most citedNonuniform dependence on initial data for compressible gas dynamics: The Cauchy problem on

R^{2}

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

collaborators

Showing 2016Show all

2 papers · 1 filter

math.AP2016★ 1 cited

Nonuniform dependence on initial data for compressible gas dynamics: The Cauchy problem on $R^{2}$

John Holmes, Barbara Lee Keyfitz, Feride Tiglay

The Cauchy problem for the two dimensional compressible Euler equations with data in the Sobolev space $H^{s} (R^{2})$ is known to have a unique solution of the same Sobolev cla…

math.AP2016

Well-posedness and Continuity Properties of the Fornberg-Whitham Equation in Besov Spaces

John Holmes, Ryan C. Thompson

In this paper, we prove well-posedness of the Fornberg-Whitham equation in Besov spaces $B_{2, r}^{s}$ in both the periodic and non-periodic cases. This will imply the existence and u…

Nonuniform dependence on initial data for compressible gas dynamics: The Cauchy problem on R2

Well-posedness and Continuity Properties of the Fornberg-Whitham Equation in Besov Spaces

Nonuniform dependence on initial data for compressible gas dynamics: The Cauchy problem on $R^{2}$