Results 71 to 80 of about 304,795 (244)
New Results on Gevrey Well Posedness for the Schrödinger–Korteweg–De Vries System
In this work, we prove that the initial value problem for the Schrödinger–Korteweg–de Vries (SKdV) system is locally well posed in Gevrey spaces for s>−34 and k≥0. This advancement extends recent findings regarding the well posedness of this model within
Feriel Boudersa+2 more
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Spinal cord injury (SCI) causes a disruption of autonomic nervous regulation to the cardiovascular system, leading to various cardiovascular and microvascular diseases.
Fuyuan Liao+6 more
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On the stability threshold for the 3D Couette flow in Sobolev regularity [PDF]
We study Sobolev regularity disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number $\textbf{Re}$.
J. Bedrossian, P. Germain, N. Masmoudi
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Regular factors in nearly regular graphs
The paper shows that three theorems due to \textit{J. Petersen} [Acta Math. 15, 193-220 (1891; JFM 23.0115.03)], \textit{Ø. Ore} [Trans. Am. Math. Soc. 84, 109-136 (1957; Zbl 0077.170)], \textit{F. Bäbler} [Comment. Math. Helv. 10, 275-287 (1938; Zbl 0019.23603)] and \textit{T. Gallai} [Acta Math. Acad. Sci. Hung.
Bermond, Jean-Claude+1 more
openaire +3 more sources
Diabetic foot ulcer (DFU) is a common complication of diabetes mellitus, while tissue ischemia caused by impaired vasodilatory response to plantar pressure is thought to be a major factor of the development of DFUs, which has been assessed using various ...
Fuyuan Liao+4 more
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Mild Solution for the Time-Fractional Navier–Stokes Equation Incorporating MHD Effects
The Navier–Stokes (NS) equations involving MHD effects with time-fractional derivatives are discussed in this paper. This paper investigates the local and global existence and uniqueness of the mild solution to the NS equations for the time fractional ...
Ramsha Shafqat+4 more
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Stochastic PDEs, Regularity Structures, and Interacting Particle Systems [PDF]
These lecture notes grew out of a series of lectures given by the second named author in short courses in Toulouse, Matsumoto, and Darmstadt. The main aim is to explain some aspects of the theory of "Regularity structures" developed recently by Hairer in
A. Chandra, H. Weber
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Depth and regularity of powers of sums of ideals [PDF]
Given arbitrary homogeneous ideals I and J in polynomial rings A and B over a field k, we investigate the depth and the Castelnuovo–Mumford regularity of powers of the sum $$I+J$$I+J in $$A \otimes _k B$$A⊗kB in terms of those of I and J. Our results can
Huy Tài Hà, N. Trung, T. N. Trung
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Exploring Human Activity Patterns Using Taxicab Static Points
This paper explores the patterns of human activities within a geographical space by adopting the taxicab static points which refer to the locations with zero speed along the tracking trajectory.
Bin Jiang, Tao Jia
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AI based algorithms for the detection of (ir)regularity in musical structure
Regularity in musical structure is experienced as a strongly structured texture with repeated and periodic patterns, with the musical ideas presented in an appreciable shape to the human mind. We recently showed that manipulation of musical content (i.e.,
Mihelač Lorena, Povh Janez
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