Ferrofluids: Modeling and Approximation
arXiv:2606.0139218.9
Predicted impact top 48% in NA · last 90 daysOriginality Synthesis-oriented
AI Analysis
Provides a rigorous modeling and numerical framework for ferrofluids, but the results are theoretical and incremental for the computational physics community.
The authors derive a ferrofluid model using the generalized Onsager principle and design convergent Galerkin schemes with error estimates, validated through numerical experiments.
Starting from Maxwell's and linear momentum balance equations, we derive a ferrofluid model using the generalized Onsager's principle. Guided by a discrete perturbation estimate, we design and analyze families of Galerkin schemes that converge to sufficiently regular solutions and derive error estimates. Finally, we numerically explore the model with our proposed method.