# Advanced Mathematical Physics Problems { "id": "T11654", "title": "Advanced Mathematical Physics Problems", "url": "/topics/T11654", "kind": "topic-directory", "aeo_cohort": "topic-directory", "provider": "openalex", "revision": "a6347d517d03c80a", "catalogue_revision": "f050b5d4780b1289", "numeric_address": "36249010734246129", "address_version": "morton4x16-v1", "coordinates": [ 3, 26, 2610, 11654 ], "answer_status": "Directory metadata; local answer requires separate source review", "truth_status": "Subject descriptor, not a factual answer or a demonstrated knowledge gap" } This cluster of papers focuses on the global well-posedness, scattering, and blow-up phenomena for various nonlinear wave equations, including the nonlinear Schrödinger equation, wave maps equation, Korteweg-de Vries equation, and dispersive equations. The research also explores the behavior of solitons and critical exponent for energy-critical equations. Directory metadata is not a factual answer or evidence of a global knowledge gap. Source: https://openalex.org/T11654 No owner-reviewed local answer yet.