We consider the both 3D and 2D viscous primitive equations for ocean in the isothermal setting. While strong global well-posedness of the viscous primitive equations for large data in H 1 has already proved, the uniqu...
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We consider the both 3D and 2D viscous primitive equations for ocean in the isothermal setting. While strong global well-posedness of the viscous primitive equations for large data in H 1 has already proved, the uniqueness of the weak solutions of Leray–Hope type for given initial data in L 2 remains an outstanding open problem. In this paper, we establish a new conditional uniqueness result for weak solutions to the primitive equations, that is, if a weak solution belongs some scaling invariant function spaces, and satisfies some additional assumptions, then the weak solution is unique. In particular, our result can be obtained as different one from z -weak solutions framework by adopting some anisotropic approaches with the homogeneous toroidal Besov spaces. As an application of the proof, we establish the energy equality for weak solutions in the uniqueness class given in the main theorem.
In this paper, we consider the 2-dimensional non-viscous Oldroyd-B model. In the case of the ratio equal 1 (α = 0), it is a difficult case since the velocity field u(t,x) is no longer decay. Fortunately, by observing...
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The spectral and transport properties of strongly correlated metals, such as SrVO3 (SVO), are widely attributed to electron-electron (e-e) interactions, with lattice vibrations (phonons) playing a secondary role. Here...
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This communication explains the impact of thermally radiative flow of a Casson fluid over a cylinder with velocity slip, suction/injection, and Newtonian heating condition. The governing PDE expressions are remodeled ...
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High-resolution collinear laser spectroscopy of neutron-rich actinium has been performed at TRIUMF’s isotope separator and accelerator facility ISAC. By probing the 7s2 1S0 → 6d7p 1P1 ionic transition, the hyperfine...
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We study the problem of unbiased estimation of expectations with respect to (w.r.t.) π a given, general probability measure on (Rd,B(Rd)) that is absolutely continuous with respect to a standard Gaussian measure. We ...
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Magnetic semimetals have increasingly emerged as lucrative platforms hosting spin-based topological phenomena in real and momentum spaces. Cr1+δTe2 is a self-intercalated magnetic transition metal dichalcogenide (TMD...
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In Elmarakeby et al., "Biologically informed deep neural network for prostatecancer discovery", a feedforward neural network with biologically informed,sparse connections (P-NET) was presented to model the s...
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Phase reduction is an effective theoretical and numerical tool for studying synchronization of coupled deterministic oscillators. Stochastic oscillators require new definitions of asymptotic phase. The Q-function, i.e...
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In this paper, we study well-posedness and the global solutions to the higher-order Camassa- Holm equations with fractional inertia operator in Besov space. When a ∈ [ 1/2, 1), we prove the existence of the solutions...
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