Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces
This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the ...
Yang Minghua, Fu Zunwei, Liu Suying
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Well/ill-posedness for the dissipative Navier–Stokes system in generalized Carleson measure spaces
As an essential extension of the well known case β∈(12,1]{\beta\kern-1.0pt\in\kern-1.0pt({\frac{1}{2}},1]} to the hyper-dissipative case β∈(1,∞){\beta\kern-1.0pt\in\kern-1.0pt(1,\infty)}, this paper establishes both well-posedness and ill-posedness (not ...
Wang Yuzhao, Xiao Jie
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Some remarks on Riesz transforms on exterior Lipschitz domains
Let $n\ge 2$ and $\mathcal {L}=-\mathrm {div}(A\nabla \cdot )$ be an elliptic operator on $\mathbb {R}^n$ . Given an exterior Lipschitz domain $\Omega $ , let $\mathcal {L}_D$ be the elliptic operator $\mathcal {L}$
Renjin Jiang, Sibei Yang
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On Wave Operator Image of Perturbed Hamiltonians on the Line
2010 Mathematics Subject Classification: 35Q40, 35R15 ...
Giammetta, Anna Rita, Georgiev, Vladimir
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Green function estimates on complements of low-dimensional uniformly rectifiable sets. [PDF]
David G, Feneuil J, Mayboroda S.
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A fractional version of Rivière's GL(n)-gauge. [PDF]
Da Lio F, Mazowiecka K, Schikorra A.
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Quadratic Sparse Domination and Weighted Estimates for Non-integral Square Functions. [PDF]
Bailey J, Brocchi G, Reguera MC.
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Dietary habits are associated with the prevalence of type 2 diabetes: a study among a middle eastern population. [PDF]
Mahdi S +7 more
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A vanishing dynamic capillarity limit equation with discontinuous flux. [PDF]
Graf M +3 more
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Singular Moser-Trudinger inequality with the exact growth condition on hyperbolic space. [PDF]
Liu Z, Chen L.
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