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In this paper, the multi-dimensional (M-D) isentropic compressible Navier–Stokes equations with degenerate viscosities (ICNS) is considered in the whole space. We show that for a certain class of initial data… Click to show full abstract
In this paper, the multi-dimensional (M-D) isentropic compressible Navier–Stokes equations with degenerate viscosities (ICNS) is considered in the whole space. We show that for a certain class of initial data with local vacuum, the regular solution of the corresponding Cauchy problem will blow up in finite time, no matter how small and smooth the initial data are. It is worth pointing out that local existence of regular solution considered in this paper has been established.
Keywords:
stokes equations;
multi dimensional;
formation multi;
navier stokes;
singularity formation;
equations singularity
Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2021
Link to full text (if available)
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recommendations!