most citedOptimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier-Stokes Equations

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math.AP2024

Optimal Decay Estimates for the Radially Symmetric Compressible Navier-Stokes Equations

Tsukasa Iwabuchi, Dáithí Ó hAodha

We examine the large-time behaviour of solutions to the compressible Navier-Stokes equations under the assumption of radial symmetry. In particular, we calculate a fast time-decay…

math.AP2023★ 1 cited

Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier-Stokes Equations

Tsukasa Iwabuchi, Dáithí Ó hAodha

We discuss optimal estimates of solutions to the compressible Navier-Stokes equations in Besov norms. In particular, we consider the estimate of the curl-free part of the solution…

math.AP2023

On the ill-posedness for the full system of compressible Navier-Stokes equations

Motofumi Aoki, Tsukasa Iwabuchi

We consider the Cauchy problem for compressible Navier--Stokes equations of the ideal gas in the three-dimensional spaces. It is known that the Cauchy problem in the scaling critic…