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With extension of the blowup solutions with radial symmetry for the isothermal Euler-Poisson equations in $R^{2}$, other special blowup solutions in $R^{2}$ with non-radial symmetry are constructed by the separation method. We notice that the results are the first evolutionary solutions with non-radial symmetry for the system.\n  Key words: Analytical Solutions, Euler-Poisson Equations, Isothermal, Blowup, Non-radial Symmetry, Line Source or Sink"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0906.0176","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-05-31T18:07:51Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"1a99db34927488ab0acc13f5461c74790943a0fd55770037e9d27f182c2a5848","abstract_canon_sha256":"24a8082911cfa18cafab5b5d958747f11fb8de7f2c2b9fb3c3c23a01523f1a89"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:51.935278Z","signature_b64":"HqO0aeyAAPrh9EqPnvRZaX1mqy1NIlVXphJJQRrEUyBKiUA7beUZPV8AecaBa+1rXDI9jEbbfq3uNHR5/4VXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5704e6767e3b669a25ae4bc0f054367438c5680c3ca1dbc2603dc8e4ecec79c","last_reissued_at":"2026-05-18T04:16:51.934303Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:51.934303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytical Blowup Solutions to the 2-dimensional Isothermal Euler-Poisson Equations of Gaseous Stars II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"astro-ph.SR","authors_text":"Manwai Yuen","submitted_at":"2009-05-31T18:07:51Z","abstract_excerpt":"This article is the continued version of the analytical blowup solutions for 2-dimensional Euler-Poisson equations \\cite{Y1}. 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