Collects infinite-dimensional nonholonomic and vakonomic systems and shows that the n-to-infinity limit of a car with n trailers is snake-like motion of the Chaplygin sleigh with a string subordinated to an infinite-dimensional Goursat distribution.
arXiv preprint arXiv:2411.03265 (2024)
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A thermodynamic extension of information geometric regularization for compressible flows introduces an anisotropic stress tensor and an elliptic equation that mitigates cusp singularities in simulations while preserving inviscid benefits.
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Infinite-dimensional nonholonomic and vakonomic systems
Collects infinite-dimensional nonholonomic and vakonomic systems and shows that the n-to-infinity limit of a car with n trailers is snake-like motion of the Chaplygin sleigh with a string subordinated to an infinite-dimensional Goursat distribution.
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Thermodynamically Constrained Information Geometric Regularization for Compressible Flows
A thermodynamic extension of information geometric regularization for compressible flows introduces an anisotropic stress tensor and an elliptic equation that mitigates cusp singularities in simulations while preserving inviscid benefits.