{"arxiv_id":"1505.05252","incoming":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"outgoing":{"papers":1,"sentences":2,"groups":[{"kind":"extends","label":"Builds on","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1411.5503","title":"Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D","url":"/paper/1411.5503","section":"Introduction","sentence":"It is an interesting and difficult problem to extend the results in [ref] and [ref] to the non-isentropic case with transport coefficients satisfying [ref] for nonzero $α$.","intent_p":0.9,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1411.5503","title":"Existence of global strong solution for the compressible Navier-Stokes equations with degenerate viscosity coefficients in 1D","url":"/paper/1411.5503","section":"Introduction","sentence":"The existence of global strong solutions to the one-dimensional compressible Navier–Stokes equations for isentropic flows has been established in [ref] with the viscosity $μ$ given by [ref]–[ref] for $ℓ_1=0$, $0≤ℓ_2<12$, and $α=0$, and also in [ref] for the shallow water system, where the viscosity $μ$ satisfies [ref] with $h(v)=v^-1$ and $α=0$.","intent_p":0.81,"contests_p":null}]}],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1505.05252"}}