The mini-symposium targets researchers developing or applying moment-based continuum and kinetic models for non-equilibrium phenomena in gases, liquids, plasmas, and particulate systems. Contributions are welcome on theoretical advances (regularised moment closures, hyperbolicity, entropy consistency), numerical schemes (high-order DG/FV/FE, method of fundamental solutions, time integrators), data-assisted or machine-learned closures, and validation against DSMC, Lattice Boltzmann, or experiment. Application areas include micro/nano-scale gas dynamics, MEMS, vacuum technology, porous-media transport, hypersonic & rarefied aerothermodynamics, plasma processing, and population-balance or radiative-transfer problems. Talks that present high-fidelity benchmarking, reproducible workflows, or that quantify model uncertainty are especially encouraged, as well as recent software advances across these areas (e.g., open-source releases, HPC/GPU implementations, verification & benchmarking suites, and reproducibility best practices).