supported by National Natural Science Foundation of China(Grant No.11971145);supported by National Natural Science Foundation of China(Grant No.11931016);the National Key R&D Program of China(Grant No.2022YFA1005900)。
In this paper,we consider the first-order Melnikov functions and limit cycle bifurcations of a nearHamiltonian system near a cuspidal loop.By establishing relations between the coefficients in the expansions of the tw...
Introduction:Nonmetric dental traits have a crucial role in ethnic classification of populations that help in forensic racial identification.Many studies have demonstrated the differences in the expression and frequen...
supports by National Science and Technology Council,Taiwan,under research grants 111-2115-M-390-002 and 110-2115-M-A49-011-MY3,respectively.
In this paper,we present a discontinuity and cusp capturing physicsinformed neural network(PINN)to solve Stokes equations with a piecewiseconstant viscosity and singular force along an interface.We first reformulate t...
As Zhang Weil's hand was raised after a dominant performance,against challenger Amanda Lemos,announcers brought up some staggering statistics.Zhang has now tied her rival Rose Namajunas for second most title fight win...
We consider the Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model.The model is described by a coupled system consisting of a heat equation and a quasilinear wave equation.In this paper,we w...
the National Natural Science Foundation of China(42030101,41974185,41774174);the Shanghai Science and Technology Innovation Action Plan(No.21DZ1206102).
Cusp spot,High Latitude Dayside aurora(HiLDA),‘space hurricane’,and 15MLT-PCA(Polar Cap Arc observed around 15:00 Magnetic Local Time)are mesoscale auroral structures observed in the polar cap region.They share many...
partially supported by the National Natural Science Foundation of China(Grant Nos.U1813221 and 52075015).
Most parallel manipulators have multiple solutions to the direct kinematic problem.The ability to perform assembly changing motions has received the attention of a few researchers.Cusp points play an important role in...
Supported by The Natural Science Foundation of Shaanxi Province,China,No.2022JM-447.
BACKGROUND Pulp revascularization is a novel way to treat immature teeth with periapical disease,and the technique has become increasingly well established in recent years.By puncturing the periapical tissue,bleeding ...
In this paper,we consider an abstract third-order differential equation and deduce some results on the maximal regularity of its strict solution.We assume that the inhomogeneity appearing in the right-hand term of thi...