Research Paper#Partial Differential Equations, Eigenvalue Problems, Advection🔬 ResearchAnalyzed: Jan 3, 2026 19:26
Refined Limiting Profiles of Eigenvalue Problems with Large Advection
Published:Dec 28, 2025 13:15
•1 min read
•ArXiv
Analysis
This paper investigates the behavior of the principal eigenpair of an eigenvalue problem with an advection term as the advection coefficient becomes large. The analysis focuses on the refined limiting profiles, aiming to understand the impact of large advection. The authors suggest their approach could be applied to more general eigenvalue problems, highlighting the potential for broader applicability.
Key Takeaways
- •Focuses on the eigenvalue problem with an advection term.
- •Analyzes the behavior as the advection coefficient approaches infinity.
- •Investigates the refined limiting profiles of the principal eigenpair.
- •Aims to understand the impact of large advection.
- •Suggests potential for application to more general eigenvalue problems.
Reference
“The paper analyzes the refined limiting profiles of the principal eigenpair (λ, φ) for (0.1) as α→∞, which display the visible effect of the large advection on (λ, φ).”