Zero Comparison Theorem of Sturm-Liouville Type for Harmonic Heat Flow
Shi-Zhong Du
TL;DR
This paper proves a zero comparison theorem of Sturm-Liouville type specifically for the linearized harmonic heat flow in rotational symmetric solutions, advancing understanding of solution behaviors.
Contribution
It introduces a new zero comparison theorem of Sturm-Liouville type tailored for linearized harmonic heat flow with rotational symmetry.
Findings
Establishment of a zero comparison theorem for the specified flow.
Application of Sturm-Liouville theory to harmonic heat flow.
Insights into the zero distribution of solutions.
Abstract
In this paper, we will prove a zero comparison theorem of Sturm-Liouville type for linearized harmonic heat flow for rotational symmetric solutions.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Geometric Analysis and Curvature Flows · Advanced Mathematical Modeling in Engineering