Results 61 to 70 of about 8,875,167 (275)
Journal of Inequalities and Applications, 2020 In this paper, we consider the global existence of strong solutions to the three-dimensional Boussinesq equations on the smooth bounded domain Ω. Based on the blow-up criterion and uniform estimates, we prove that the strong solution exists globally in ...
Zhaoyang Shang, Fuquan Tang
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On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation
Boundary Value Problems, 2022 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 estimates in BMO space, Young’s inequality, cancellation property ...
Baoying Du
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Blow-Up Criterion for the 3D Non-resistive Compressible Magnetohydrodynamic Equations [PDF]
Journal of Dynamics and Differential Equations, 2019 22 pages.
Xi, Shuai, Zhu, Shengguo
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Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics
Advanced Science, EarlyView.The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet +8 more
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A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization [PDF]
, 2015 We propose a new blow-up criterion for the 3D Euler equations of incompressible fluid flows, based on the 3D Euler-Voigt inviscid regularization. This criterion is similar in character to a criterion proposed in a previous work by the authors, but it is ...
Larios, Adam, Titi, Edriss S
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Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗
Journal of Mathematics, 2022 The well-posedness problem is an important but challenging research topic in nonlinear partial differential equations. In this paper, we establish a global-in-time existence result of strong solutions for small initial data in terms of the H˙1/2ℝ3 norm ...
Hui Zhang, Juan Xu
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A blow-up criterion for the MHD equations with mass diffusion
Differential and Integral Equations, 2014 In this paper, a blow-up criterion is proved for the MHD equations with mass diffusion in a bounded domain.
Fan, Jishan, Nakamura, Gen, Zhou, Yong
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Advanced Science, EarlyView.This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo +6 more
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Stability, well-posedness and blow-up criterion for the Incompressible Slice Model [PDF]
Physica D: Nonlinear Phenomena, 2019 New version: Arnold's stability section included, typos corrected, figures ...
Diego Alonso-Orán +1 more
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Advanced Science, EarlyView.A flexible pressure sensor with triple‐gradient design of conductivity, modulus, and dimension in binary micro‐dome pixels is proposed. Based on precisely‐designed CNT/PDMS matrix, the device exhibits a linear sensitivity of 974.1 kPa−1 across range up to 1.8 MPa (R2 > 0.99), offering an effective strategy for potential applications in healthcare ...
Yifan Liu +9 more
wiley +1 more source