Blow-up solutions in semilinear heat equations refer to phenomena where solutions become unbounded in finite time, an occurrence that has far‐reaching implications for the study of nonlinear partial ...

Uniqueness is proved for positive solutions of the heat equation on complete Riemannian manifolds with Ricci curvature bounded from below. Journal Information This monthly journal, begun in 1950, is ...

When we think about heat travelling through a material, we typically picture diffusive transport, a process that transfers heat from high-temperature to low-temperature as particles and molecules bump ...