Solutions to the one-dimensional hyperbolic Navier-Stokes equations, hyperbolized by nonlinear Cattaneo and Maxwell-type relaxation, develop gradient blow-up because the system has two genuinely nonlinear eigenvalues.
Freistühler, Formation of singularities in solutions to Ruggeri’s hyperbolic Navier-Stokes equations, arXiv:2305.05426 (2023)
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Gradient Catastrophe for Solutions to the Hyperbolic Navier-Stokes Equations
Solutions to the one-dimensional hyperbolic Navier-Stokes equations, hyperbolized by nonlinear Cattaneo and Maxwell-type relaxation, develop gradient blow-up because the system has two genuinely nonlinear eigenvalues.