{"paper":{"title":"Kolmogorov equations for stochastic convective Brinkman-Forchheimer equations forced by L\\'evy Noise and its application to infinite horizon problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Manil T. Mohan, Sagar Gautam","submitted_at":"2026-06-25T17:36:12Z","abstract_excerpt":"This article examines the Kolmogorov equation corresponding to the following stochastic two- and three-dimensional incompressible ($\\nabla\\cdot\\boldsymbol{u}=0$) convective Brinkman-Forchheimer equations, also known as the damped Navier-Stokes equations, driven by L\\'evy noise on the torus:\n  \\begin{align*}\n  \\mathrm{d}\\boldsymbol{u}+[-\\mu\\Delta\\boldsymbol{u}+(\\boldsymbol{u}\\cdot\\nabla)\\boldsymbol{u}+\\alpha\\boldsymbol{u}+\\beta|\\boldsymbol{u}|^{r-1}\\boldsymbol{u}+\\nabla p]\\mathrm{d} t\n  =\\sqrt{\\mathrm{Q}}\\mathrm{d}\\mathrm{W}+\\int_{Z}\\sigma(t,z)\\widetilde{\\pi}(\\mathrm{d} t,\\mathrm{d} z),\n  \\end{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27324","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.27324/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}