Recently, it has been proved in Galakhov et al. (2016) that if either 8d80f33203d2f5888" title="Click to view the MathML source">α>m+γ−1 or a7793198fd2f2c2259ec" title="Click to view the MathML source">α=m+γ−1 and b53dced1ba64762">, for any given this system possesses a global and bounded classical solution. The present work further shows that the same conclusion still holds for the critical case a7793198fd2f2c2259ec" title="Click to view the MathML source">α=m+γ−1 and b5a">.
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