{"paper":{"title":"Pullback attractors for a class of non-autonomous thermoelastic plate systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.AP","authors_text":"Flank D. M. Bezerra, Karina Schiabel, Marcelo J. D. Nascimento, Vera L. Carbone","submitted_at":"2016-09-01T22:02:18Z","abstract_excerpt":"In this article we study the asymptotic behavior of solutions, in sense of global pullback attractors, of the evolution system $$ \\begin{cases} u_{tt} +\\eta\\Delta^2 u+a(t)\\Delta\\theta=f(t,u), & t>\\tau,\\ x\\in\\Omega,\\\\ \\theta_t-\\kappa\\Delta \\theta-a(t)\\Delta u_t=0, & t>\\tau,\\ x\\in\\Omega, \\end{cases} $$ subject to boundary conditions $$ u=\\Delta u=\\theta=0,\\ t>\\tau,\\ x\\in\\partial\\Omega, $$ where $\\Omega$ is a bounded domain in $\\mathbb{R}^N$ with $N\\geqslant 2$, which boundary $\\partial\\Omega$ is assumed to be a $\\mathcal{C}^4$-hypersurface, $\\eta>0$ and $\\kappa>0$ are constants, $a$ is an H\\\"old"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00411","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"}