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Many thermal processes are nonlinear DPSs with infinite dimensional dynamics, and it is a big challenge to model the energy distributions of these systems in space. To address this issue, two types of low-order spatiotemporal modeling methods that adopt different strategies to reduce the order of spatial dimensions and achieve effective representation of spatial nonlinear dynamics.

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Low-Order Spatiotemporal Modeling Approach for Infinite Dimensions

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  • 发表日期：

    2026年

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  • Bowen Xu,
  • Xinjiang Lu

摘要

Many thermal processes are nonlinear DPSs with infinite dimensional dynamics, and it is a big challenge to model the energy distributions of these systems in space. To address this issue, two types of low-order spatiotemporal modeling methods that adopt different strategies to reduce the order of spatial dimensions and achieve effective representation of spatial nonlinear dynamics.