Smallness condition
WebThe present paper is devoted to study the well-posedness issue of solutions of the 3-D Boussinesq system with damping in the whole space. By means of Littlewood-Paley analysis tools we relax the smallness condition and deal with the nonlinear coupling between the horizontal components and the vertical one with the temperature. Finally, we prove that … Webinstead of (6.14).At the contrary getting rid of the condition that ε 2 (x, t)/(T − t) is small at t = T is probably very difficult. This smallness condition could even be necessary. This is related to the nature of the observability inequalities for the adjoint heat equation that are unable to provide estimates on the solutions at t = T because of the very strong smoothing effect.
Smallness condition
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WebApr 22, 2024 · The full definition is mostly very reasonable: A category C is called locally finitely presentable if the full subcategory C f p of compact objects is essentially small, it has small colimits, and every object is the filtered colimit of its compact subobjects. WebJan 24, 2024 · Moreover, we also obtain the existence of the strong solution for small initial data, the smallness conditions of which are given by the suitable Sobolev norms. In this paper, we address the Hall-MHD equations with partial dissipation. Applying some important inequalities (such as the logarithmic Sobolev inequality using BMO space, bilinear ...
WebAn absence of spontaneous respiration. autism A pervasive development disorder characterized by the individual being extremely withdrawn and absorbed with fantasy. The individual suffers from impaired communication/social interaction skills, and activities and interest are very limited. Autism was first classified as a type of schizophrenia. Webunder the smallness conditions on a moment of initial data u(x,0) and some condition for k ∈ (0,1). Moreover, if the case that χ(s) ≡ (const.), Sugiyama [18] showed finite-time blow-up of solutions under the condition m ∈ [1,2− 2 N). According to two previous works,
WebAug 22, 2024 · Smallness condition for augmented algebras Asked 2 years, 7 months ago Modified 2 years, 7 months ago Viewed 122 times 3 I'm not sure this question is research …
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