supported by the National Natural Science Foundation of China (Grant No.U22A20234);Hubei Province key Research and Development Project (Grant No.2023BCB121).
Carbonaceous slate is one kind of metamorphic rocks with developed foliation,which is frequently encountered during tunnel construction in Western China.The foliation plays a crucial role in the stability of tunnels.F...
The Tahtai Logomiti area is characterized by metavolcanic and metavolcaniclastic interbedded with clastic and carbonate metasedimentary rocks of Neoproterozoic age.New geological,petrographic,major,and trace elements ...
support from the Natural Science Foundation of China(Grant Nos.41941018,U21A20153,42177140).
The shear mechanical behavior is regarded as an essential factor affecting the stability of the surrounding rocks in underground engineering.The shear strength and failure mechanisms of layered rock are significantly ...
supported by the China Postdoctoral Science Foundation(2021M690702);The author Z.L.was in part supported by NSFC(11725102);Sino-German Center(M-0548);the National Key R&D Program of China(2018AAA0100303)National Support Program for Young Top-Notch Talents;Shanghai Science and Technology Program[21JC1400600 and No.19JC1420101].
Alinhac solved a long-standing open problem in 2001 and established that quasilinear wave equations in two space dimensions with quadratic null nonlinearities admit global-in-time solutions,provided that the initial d...
Based on the action of the mapping class group on the space of measured foliations,we construct a new boundary of the mapping class group and study the structure of this boundary.As an application,for any point in Tei...
supported by the National Natural Science Foundation of China(11701298)。
For the high-dimensional Frenkel-Kontorova(FK)model on lattices,we study the existence of minimal foliations by depinning force.We introduce the tilted gradient flow and define the depinning force as the critical valu...
supported by Beijing Natural Science Foundation(Grant No.Z180004);National Natural Science Foundation of China(Grant Nos.11771331 and 11821101);Capacity Building for SciTech Innovation—Fundamental Scientific Research Funds(Grant No.KM201910028021)。
Let M_(t) be an isoparametric foliation on the unit sphere(S^(n−1)(1),g^(st))with d principal curvatures.Using the spherical coordinatesinduced by M_(t),we construct a Minkowski norm with the representation F=r√2f(t)...
Supported by NSFC (Grant Nos. 11971352, 11601071);the S. S. Chern Foundation through IHES and a Start-up Research Fund from Tongji University。
This short note is concerned with a measure version criterion for hypersurfaces to be minimal.Certain natural flows and associated reflections for many minimal hypercones,including minimal isoparametric hypercones and...
This work was supported by the National Natural Science Foundation of China(No.51839003;41801053),the Science and Technology Research Project of Chongqing Education Commission(KJQN201800724);the Natural Science Foundation of Chongqing(No.CSTC2019JCYJ-MSXMX0835),the Fund(Nos.SKLFSE201903 and SKLBT-19-003);the China Postdoctoral Science Foundation(No.2020M683710XB);the Key Scientific Research Project of Inner Mongolia Universities(No.NJZZ20300).
High stress concentrations around underground excavations can result in significant damage to deep hard-rock mines.These conditions can be the result of stopping activities,blasting,seismicity,or other mining activiti...
supported by National Natural Science Foundation of China(Grant Nos.11625106,11571332 and 11721101)。
In this paper,we consider the stability,semi-stability and canonical metric structures on transverse Higgs bundles over a class of foliation manifolds.Also a transversal Bogomolov inequality is obtained.