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c_t+u\\cdot\\nabla c=\\Delta c-nc, x\\in \\Omega, t>0,\\\\ u_t+\\nabla P=\\Delta u+n\\nabla \\phi ,x\\in \\Omega, t>0,\\\\ \\nabla\\cdot u=0, x\\in \\Omega, t>0,\n  \\end{array}\\right. \\end{equation}\n  where $\\Omega\\subseteq \\mathbb{R}^3$ is a bounded convex domain with smooth boundary.\n  Here $ S\\in C^2(\\bar{\\Omega}\\times[0,\\infty)^2;\\mathbb{R}^{3\\times3})$ is a matrix with 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