Global classical solutions exist for spherically symmetric large initial data in the multi-dimensional compressible Navier-Stokes-Poisson equations on solid balls with BD-type viscosity coefficients.
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math.AP 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Global strong solutions to the compressible NSK system exist in R^2 and R^3 for arbitrarily large initial data with non-vacuum far-field density.
Global well-posedness of spherically symmetric classical solutions is established for degenerate compressible Navier-Stokes equations in 2D and 3D with large initial data for alpha above approximately 0.54-0.68 and gamma in specified ranges.
citing papers explorer
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Global existence of classical solutions for the multi-dimensional compressible Navier-Stokes-Poisson equations on solid balls for arbitrary spherically symmetric large initial data
Global classical solutions exist for spherically symmetric large initial data in the multi-dimensional compressible Navier-Stokes-Poisson equations on solid balls with BD-type viscosity coefficients.
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On the Cauchy problem for the multi-dimensional compressible Navier-Stokes-Korteweg system: Global strong solutions with arbitrarily large initial data
Global strong solutions to the compressible NSK system exist in R^2 and R^3 for arbitrarily large initial data with non-vacuum far-field density.
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Global Well-Posedness of Classical Solutions to the Multi-Dimensional Degenerate Compressible Navier-Stokes Equations with Large Spherically Symmetric Initial Data
Global well-posedness of spherically symmetric classical solutions is established for degenerate compressible Navier-Stokes equations in 2D and 3D with large initial data for alpha above approximately 0.54-0.68 and gamma in specified ranges.