Existence of global weak solutions to the compressible Ericksen-Leslie system in dimension one

preprint2020arXivOpen access

We consider the compressible Ericksen-Leslie system of liquid crystal flows in one dimension. A global weak solution is constructed with initial density $ρ_0\geq 0$ and $ρ_0\in L^γ$ for $γ>1$ .

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Existence of global weak solutions to the compressible Ericksen-Leslie system in dimension one

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