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pro vyhledávání: '"Skipper, Jack W. D."'
We prove via convex integration a result that allows to pass from a so-called subsolution of the isentropic Euler equations (in space dimension at least $2$) to exact weak solutions. The method is closely related to the incompressible scheme establis
Externí odkaz:
http://arxiv.org/abs/2107.10618
Autor:
Skipper, Jack W. D., Wiedemann, Emil
We show weak lower semi-continuity of functionals assuming the new notion of a "convexly constrained" $\mathcal A$-quasiconvex integrand. We assume $\mathcal A$-quasiconvexity only for functions defined on a set $K$ which is convex. Assuming this and
Externí odkaz:
http://arxiv.org/abs/1909.11543
Publikováno v:
Analysis & PDE 13 (2020) 789-811
We consider the compressible isentropic Euler equations on $\mathbb{T}^d\times [0,T]$ with a pressure law $p\in C^{1,\gamma-1}$, where $1\le \gamma <2$. This includes all physically relevant cases, e.g.\ the monoatomic gas. We investigate under what
Externí odkaz:
http://arxiv.org/abs/1808.05029
We study weak solutions of the incompressible Euler equations on $\mathbb{T}^2\times \mathbb{R}_+$; we use test functions that are divergence free and have zero normal component, thereby obtaining a definition that does not involve the pressure. We p
Externí odkaz:
http://arxiv.org/abs/1806.00290
The aim of this paper is to prove energy conservation for the incompressible Euler equations in a domain with boundary. We work in the domain $\mathbb{T}^2\times\mathbb{R}_+$, where the boundary is both flat and has finite measure. However, first we
Externí odkaz:
http://arxiv.org/abs/1611.00181
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