| Abstract: |
| Among the study of PDEs arising from fluid dynamics and material sciences, parameter stability including vanishing viscosity/damping limits is a very interesting research topic. Indeed, it is deeply related to boundary layers, perturbation theory, and many other areas. However, parameter-limit structure is not always preserved in numerical simulations. On the other hand, solutions with low regularity play an important role in the study of fluid PDEs and are deeply connected to the well-known Onsager conjecture. Therefore, computing such low-regularity solutions while preserving parameter stability is of great significance. In this talk, we will discuss some recent progress in the structure-preserving methods for low-regularity problems arising from fluid models, supported by both analytical and numerical results. |
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