Non-uniform dependence for Euler equations in Besov spaces

Jose Pastrana

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Non-uniform dependence for Euler equations in Besov spaces

Jose Pastrana

Analysis of PDEs · Submitted 11 Nov 2019

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We prove the non-uniform continuity of the data-to-solution map of the incompressible Euler equations in Besov spaces $B_{p,q}^{s}$, where the parameters $p, q$ and $s$ considered here are such that the local existence and uniqueness result holds.

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We prove the non-uniform continuity of the data-to-solution map of the incompressible Euler equations in Besov spaces $B_{p,q}^{s}$, where the parameters $p, q$ and $s$ considered here are such that the local existence and uniqueness result holds.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We prove the non-uniform continuity of the data-to-solution map of the incompressible Euler equations in Besov spaces $B_{p,q}^{s}$, where the parameters $p, q$ and $s$ considered here are such that the local existence and uniqueness result holds.	result 0.68	0.95	0.93	asserted 1.00

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Original abstract

We prove the non-uniform continuity of the data-to-solution map of the incompressible Euler equations in Besov spaces $B_{p,q}^{s}$, where the parameters $p, q$ and $s$ considered here are such that the local existence and uniqueness result holds.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Our obtained result improves considerably the recent result given by Pastrana [ref] .

Non-uniform dependence on initial data for the Euler equations in Besov spaces · Introduction · 0.97

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