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math.AP2025
Initial boundary value problems for 3-d Navier-Stokes equations with hyperbolic heat conduction
Yuxi Hu, Reinhard Racke
We study an initial boundary value problem for the 3-dimensional compressible Navier-Stokes equations with hyperbolic heat conduction, where the classical Fourier law is replaced b…
math.AP2025
Initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations
Yuxi Hu, Yachun Li
An initial boundary value problem for one-dimensional hyperbolic compressible Navier-Stokes equations is investigated. After transforming the system into Lagrangian coordinate, the…
math.AP2012
On Neumann boundary problem for strongly degenerate parabolic-hyperbolic equations on a bounded rectangle
Yuxi Hu, Yachun Li
We study a Neumann type initial-boundary value problem for strongly degenerate parabolic-hyperbolic equations under the nonlinearity-diffusivity condition. We suggest a notion of e…