Concepedia

Blow-up of smooth solutions to the Navier-Stokes equations for compressible isothermal fluids

Dapeng Du, Jingyu Li, Kai‐Jun Zhang

Communications in Mathematical Sciences · 2013 · 11 citations · 7 references

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Abstract

It is shown that the one-dimensional or two-dimensional radially symmetric isothermal compressible Navier-Stokes system has no non-trivial global smooth solutions if the initial density is compactly supported.

References

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Formation of singularities in solutions to nonlinear hyperbolic equations

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Blow-up of viscous heat-conducting compressible flows

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