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Liouville theorems in unbounded domains for the time-dependent Stokes system

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Hao Jia, Gregory Seregin, Vladimír Šverák

Analysis of PDEs · Submitted 8 Jan 2012

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

The authors' main claim In this paper, We characterize bounded ancient solutions to the time-dependent Stokes system with zero boundary value in various domains, including the half space.

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arXiv ID1201.1664 (version 2)
Pith IDFPSB6BSM, Pith's permanent record of this paper and its review
CitationGregory Seregin, Hao Jia, Vladim\'ir \v{S}ver\'ak. "Liouville theorems in unbounded domains for the time-dependent Stokes system." arXiv:1201.1664 (2012). https://pith.science/paper/FPSB6BSM
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,603 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.05 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; .

In this paper, We characterize bounded ancient solutions to the time-dependent Stokes system with zero boundary value in various domains, including the half space.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this paper, We characterize bounded ancient solutions to the time-dependent Stokes system with zero boundary value in various domains, including the half space. contribution 0.92 0.92 0.73 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

In this paper, We characterize bounded ancient solutions to the time-dependent Stokes system with zero boundary value in various domains, including the half space.

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