3 papers
math.AP2026
A new selection problem for degenerate viscous Hamilton-Jacobi equations
Qinbo Chen, Zhi-Xiang Zhu
We study a selection problem for degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians, in which the approximation procedure combines a nonlinear discounted approx…
math.CO2026
Aromatic and clumped multi-indices: algebraic structure and Hopf embeddings
Zhicheng Zhu, Adrien Busnot Laurent
Butcher forests extend naturally into aromatic and clumped forests and play a fundamental role in the numerical analysis of volume-preserving methods. The design of general volume-…
math.DS2024
Qualitative Estimates of Topological Entropy for Non-Monotone Contact Lax-Oleinik Semiflow
Wei Cheng, Jiahui Hong, Zhi-Xiang Zhu
For the non-monotone Hamilton-Jacobi equations of contact type, the associated Lax-Oleinik semiflow is expansive. In this paper, we provide qualitative estimates for…