The phrase "a local strong" is not correct and does not convey a clear meaning in written English.
It may be intended to describe a strong local entity or characteristic, but it lacks clarity and context.
Example: "The community has a local strong presence in the arts, which enriches our culture."
Alternatives: "a strong local" or "a local powerhouse".
Let ( ρ, u, d ) be a local strong solution to the problem (1.1 - 1.6 1.1 - 1.6
According to Lemma 2.1, a local strong solution of the Cauchy problem (1 - 6) exists.
However, when the initial vacuum is allowed, it was shown recently in [9] that the isentropic one will have a local strong solution in the case that some compatibility conditions are satisfied initially.
Later on, Wen et al. [15, 16] proved the blow-up criterion in terms of the upper bound of the liquid mass for a local strong solution to the 3D (or 2D) viscous liquid-gas two-phase flow model in the two different cases when there is an initial vacuum and no initial vacuum in a bounded domain.
Particulate matter (PM) produces a local strong inflammatory reaction in the pulmonary environment but there is no final evidence that PM physically enters and deposits in blood vessels.
Others may tread carefully and cooperate with local partners to develop local competences for their good enough market strategy, and perhaps even acquire a local firm with a strong local distribution network.
And for this case, a unique local strong solution to the fluid rigid body problem is derived.
It is well known that problem (1.7 - 1.11) has a unique local strong solution [4].
with | d | ≡ 1 in ( 0, ∞ ) × Ω. Li and Wang [9] proved that the problem has a unique local strong solution.
If the initial data have better regularity, the compressible isentropic Navier-Stokes equations will admit a unique local strong solution under various boundary conditions [9 12].
b Source inversion for a fault in a localized region from local (strong-motion), regional, and teleseismic records.
