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math-ph2024
Existence and Uniqueness of Solutions to the Generalized Hydrodynamics Equation
Friedrich Hübner, Benjamin Doyon
The generalized hydrodynamics (GHD) equation is the equivalent of the Euler equations of hydrodynamics for integrable models. Systems of hyperbolic equations such as the Euler equa…
cond-mat.stat-mech2024★ 1 cited
A new quadrature for the generalized hydrodynamics equation and absence of shocks in the Lieb-Liniger model
Friedrich Hübner, Benjamin Doyon
In conventional fluids, it is well known that Euler-scale equations are plagued by ambiguities and instabilities. Smooth initial conditions may develop shocks, and weak solutions,…