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This is a Quantitative Study study.

October 20, 2025Open Access

Non-convergence of the principal eigenvalue of elliptic operators for large advection

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Authors

XBXueli BaiNorthwestern Polytechnical University ZWZhi‐An WangHong Kong Polytechnic University XXXin XuChangchun University of Science and Technology

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Implication

This work reveals non-convergence of the principal eigenvalue in elliptic operators plagued by strong advection, indicating implications for reaction-diffusion models.

Key Points

The principal eigenvalue diverges as s approaches infinity for specific elliptic operators under strong advection.
An example illustrates the divergence of the principal eigenvalue, differing significantly from conventional results.
The study's significance lies in its implications for behavior in advection-reaction-diffusion models, particularly with infinite oscillations.
Divergence of the principal eigenvalue leads to unexpected solution behaviors different from non-oscillatory potential functions.

Cite This Study

Bai et al. (2025) studied this question.

synapsesocial.com/papers/68f5fcd68d54a28a75cf20e1 https://doi.org/10.48550/arxiv.2507.04418

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Implication

This work reveals non-convergence of the principal eigenvalue in elliptic operators plagued by strong advection, indicating implications for reaction-diffusion models.

Non-convergence of the principal eigenvalue of elliptic operators for large advection

Discussion

Member takes

Implication

Key Points

Cite This Study

Non-convergence of the principal eigenvalue of elliptic operators for large advection

Discussion

Member takes

Implication

Key Points

Cite This Study

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