{"paper":{"title":"Perturbation of singular equilibria of hyperbolic two-component systems: a universal hydrodynamic limit","license":"","headline":"","cross_cats":["math.AP"],"primary_cat":"math.PR","authors_text":"Balint Toth, Benedek Valko","submitted_at":"2003-12-12T10:06:46Z","abstract_excerpt":"We consider one-dimensional, locally finite interacting particle systems with two conservation laws which under Eulerian hydrodynamic limit lead to two-by-two systems of conservation laws:\n  \\pt \\rho +\\px \\Psi(\\rho, u)=0\n  \\pt u+\\px \\Phi(\\rho,u)=0,\n  with $(\\rho,u)\\in{\\cal D}\\subset\\R^2$, where ${\\cal D}$ is a convex compact polygon in $\\R^2$. The system is typically strictly hyperbolic in the interior of ${\\cal D}$ with possible non-hyperbolic degeneracies on the boundary $\\partial {\\cal D}$. We consider the case of isolated singular (i.e. non hyperbolic) point on the interior of one of the e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0312256","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}