A similarity principle for locally solvable vector fields [PDF]
, 1915 This paper establishes a weak similarity principle for the class of locally solvable complex vector fields in the plane.
Hounie, J., da Silva, E.R.
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Interpolation inequalities between Sobolev and Morrey-Campanato spaces: A common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities [PDF]
, 2013 We prove interpolation estimates between Morrey-Campanato spaces and Sobolev spaces. These estimates give in particular concentration-compactness inequalities in the translation-invariant and in the translation- and dilation-invariant case.
Van Schaftingen, Jean
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Compact bilinear commutators: the weighted case [PDF]
, 2015 Commutators of bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillation are shown to be compact on appropriate products of weighted Lebesgue spaces.Simons ...
Benyi, Arpad +3 more
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Stability and boundedness of regular solutions for a Sisko flow in an infinite annular porous space
Results in Physics, 2023 The present article is intended to study the boundedness of solutions for an unsteady non-Newtonian flow, whose strain–stress relationship is provided by the Sisko fluid model.
José Luis Díaz Palencia +3 more
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Detecting spatial patterns with the cumulant function. Part II: An application to El Nino [PDF]
, 2007 The spatial coherence of a measured variable (e.g. temperature or pressure) is often studied to determine the regions where this variable varies the most or to find teleconnections, i.e. correlations between specific regions.
Bernacchia, Alberto +3 more
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Some unsolved problems on meromorphic functions of uniformly bounded characteristic
International Journal of Mathematics and Mathematical Sciences, 1985 The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu-Ahlfors characteristic function.
Shinji Yamashita
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Asymptotic Profile for Diffusion Wave Terms of the Compressible Navier–Stokes–Korteweg System
Mathematics, 2021 The asymptotic profile for diffusion wave terms of solutions to the compressible Navier–Stokes–Korteweg system is studied on R2. The diffusion wave with time-decay estimate was studied by Hoff and Zumbrun (1995, 1997), Kobayashi and Shibata (2002), and ...
Takayuki Kobayashi +2 more
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A conditional regularity result for p-harmonic flows [PDF]
, 2015 We prove an $\varepsilon$-regularity result for a wide class of parabolic systems $$ u_t-\text{div}\big(|\nabla u|^{p-2}\nabla u) = B(u, \nabla u) $$ with the right hand side $B$ growing like $|\nabla u|^p$.
Katarzyna Ewa Mazowiecka +4 more
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On Global Well-Posedness of the Lagrangian Averaged Euler Equations [PDF]
, 2006 We study the global well-posedness of the Lagrangian averaged Euler equations in three dimensions. We show that a necessary and sufficient condition for the global existence is that the bounded mean oscillation of the stream function is integrable in ...
Hou, Thomas Y., Li, Congming
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BMO and the John-Nirenberg Inequality on Measure Spaces
Analysis and Geometry in Metric Spaces, 2020 We study the space BMO𝒢 (𝕏) in the general setting of a measure space 𝕏 with a fixed collection 𝒢 of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in 𝒢.
Dafni Galia, Gibara Ryan, Lavigne Andrew
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