In this article we derive Hamilton type gradient estimate and Souplet-Zhang type gradient estimate for a generalized weighted parabolic heat equation with potential on a weighted Riemannian manifold ...
Figure 1: A variant of classical viscous fingering. The control of interfacial instabilities is similarly applicable in expanding narrow passages. For instance, our results suggest that when a less ...
Magnetic resonance imaging (MRI) is indispensable for clinical diagnostics and treatment planning, offering unparalleled soft tissue contrast. However, intrinsic imperfections—stemming from gradient ...
In this study, we developed a simulation model based on the ecological and evolutionary dynamics of geographical ranges, to understand the role of species' environmental tolerances and the strength of ...