Initial boundary value problems for 3-d Navier-Stokes equations with  hyperbolic heat conduction

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 by the Cattaneo-Christov constitutive relation. We focus on spherically symmetric solutions. We establish the existence of uniform global small solutions to the resulting system. Furthermore, based on uniform a priori estimates, we rigorously justify both the relaxation limit and the vanishing viscosity limit

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HU, Yuxi, Reinhard RACKE, 2025. Initial boundary value problems for 3-d Navier-Stokes equations with hyperbolic heat conduction

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@techreport{Hu2025-10-01Initi-74656,
  series={Konstanzer Schriften in Mathematik},
  title={Initial boundary value problems for 3-d Navier-Stokes equations with  hyperbolic heat conduction},
  year={2025},
  number={416},
  author={Hu, Yuxi and Racke, Reinhard}
}

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Publikation: Initial boundary value problems for 3-d Navier-Stokes equations with hyperbolic heat conduction

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Publikation:
Initial boundary value problems for 3-d Navier-Stokes equations with hyperbolic heat conduction