# Nonlinear dispersive regularization of inviscid gas dynamics

@article{Krishnaswami2019NonlinearDR,
title={Nonlinear dispersive regularization of inviscid gas dynamics},
author={Govind S. Krishnaswami and Sachin S. Phatak and Sonakshi Sachdev and Anantanarayanan Thyagaraja},
year={2019}
}
• Published 17 October 2019
• Physics
Ideal gas dynamics can develop shock-like singularities with discontinuous density. Viscosity typically regularizes such singularities and leads to a shock structure. On the other hand, in 1d, singularities in the Hopf equation can be non-dissipatively smoothed via KdV dispersion. Here, we develop a minimal conservative regularization of 3d ideal adiabatic flow of a gas with polytropic exponent $\gamma$. It is achieved by augmenting the Hamiltonian by a capillarity energy \$\beta(\rho) (\nabla…
2 Citations

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