Výsledky vyhledávání - "Keyfitz, Barbara"

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Non-uniform dependence on periodic initial data for the two-component Fornberg-Whitham system in Besov spaces

Autor: Dutta, Prerona, Keyfitz, Barbara Lee

This paper establishes non-uniform continuity of the data-to-solution map in the periodic case, for the two-component Fornberg-Whitham system in Besov spaces $B^s_{p,r}(\mathbb{T}) \times B^{s-1}_{p,r}(\mathbb{T})$ for $s> \max\{2+\frac{1}{p}, \frac{

Externí odkaz: http://arxiv.org/abs/2407.04167

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Weak diffeomorphisms and solutions to conservation laws

Autor: Holmes, John, Keyfitz, Barbara, Tiglay, Feride

Evolution equations which describe the changes in a velocity field over time have been classically studied within the Eulerian or Lagrangian frame of reference. Classically, these frameworks are equivalent descriptions of the same problem, and the eq

Externí odkaz: http://arxiv.org/abs/2111.10358

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

Autor: Holmes, John, Keyfitz, Barbara Lee, Tiglay, Feride

The Cauchy problem for the two dimensional compressible Euler equations with data in the Sobolev space $H^s(\mathbb R^2)$ is known to have a unique solution of the same Sobolev class for a short time, and the data-to-solution map is continuous. We pr

Externí odkaz: http://arxiv.org/abs/1611.05894

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

Autor: Keyfitz, Barbara Lee, Tiglay, Feride

We start with the classic result that the Cauchy problem for ideal compressible gas dynamics is locally well posed in time in the sense of Hadamard; there is a unique solution that depends continuously on initial data in Sobolev space $H^s$ for $s>d/

Externí odkaz: http://arxiv.org/abs/1611.05840

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