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Rationale: Acute coronary syndrome (ACS) is a leading cause of death worldwide. Immune functions play a vital role in ACS development; however, whether epigenetic modulation contributes to the regulation of blood immune cells in t...
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Rationale: Acute coronary syndrome (ACS) is a leading cause of death worldwide. Immune functions play a vital role in ACS development; however, whether epigenetic modulation contributes to the regulation of blood immune cells in this disease has not been investigated.
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We extend profound results in pluripotential theory on Kahler manifolds (Darvas in , 2019) to Sasaki setting via its transverse Kahler structure. As in Kahler case, these results form a very important piece to solve the existence ...
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We extend profound results in pluripotential theory on Kahler manifolds (Darvas in , 2019) to Sasaki setting via its transverse Kahler structure. As in Kahler case, these results form a very important piece to solve the existence of Sasaki metrics with constant scalar curvature in terms of properness of K-energy, considered by the first named author in He (, 2019). One main result is to generalize Darvas' theory on the geometric structure of the space of Kahler potentials in Sasaki setting. Along the way we extend most of corresponding results in pluripotential theory to Sasaki setting via its transverse Kahler structure.
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We construct good degenerations of Quot-schemes and coherent systems using the stack of expanded degenerations. We show that these good degenerations are separated and proper DM stacks of finite type. Applying to the projective th...
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We construct good degenerations of Quot-schemes and coherent systems using the stack of expanded degenerations. We show that these good degenerations are separated and proper DM stacks of finite type. Applying to the projective threefolds, we derive degeneration formulas for DT-invariants of ideal sheaves and PT stable pair invariants.
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Although local existence of multidimensional planar shock waves has been established in the well-known papers [A. Majda, The Existence of Multi-Dimensional Shock Fronts, Mem. Amer. Math. Soc. 43, Providence, RI, 1983; A. Majda, Th...
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Although local existence of multidimensional planar shock waves has been established in the well-known papers [A. Majda, The Existence of Multi-Dimensional Shock Fronts, Mem. Amer. Math. Soc. 43, Providence, RI, 1983; A. Majda, The Stability of Multi-Dimensional Shock Fronts, Mem. Amer. Math. Soc. 41, Providence, RI, 1983; A. Majda and E. Thomann, Multidimensional shock fronts for second order wave equations, Comm. Partial Differential Equations, 12 (1987), pp. 777-828; G. Metivier, Stability of multidimensional shocks, in Advances in the Theory of Shock Waves, Progr. Nonlinear Differential Equations Appl. 47, Birkhauser, Boston, MA, 2001, pp. 25-103], there are few results on the global existence of those waves except the ones for the unsteady potential flow equation in n-dimensional spaces (n >= 5) or in special unbounded space-time domains with Dirichlet boundary value conditions of potentials. In this paper, we are concerned with both the local and global multidimensional conic shock wave problem of an unsteady potential flow equation when a pointed piston (i.e., the piston at the initial time degenerates into a single point) or an explosive wave expands fast in 2-dimensional or 3-dimensional polytropic gases. Mathematically, this problem is reduced to a boundary value problem of a multidimensional unsteady potential equation in a region which is bounded by two infinite cones, and thus the domain boundary includes a twofold conic point with strong singularity and the corresponding second order hyperbolic equation has no initial data in this domain. Meanwhile, the resulting nonlinear boundary conditions are of almost Neumann-type on the conic shock surface and of Neumann-type on the expanding surface of the piston, respectively. As observed in physical experiments or numerical computations, we shall show that this multidimensional shock wave solution not only exists locally but also exists globally in the whole time space and tends to a self-similar solution a
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Oximes are an easily prepared and transformed unit, which are widely used in organic synthesis. The oximes, including oxime ethers and esters, could realize various transformations, such as C-H bond activation, Heck-type reactions...
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Oximes are an easily prepared and transformed unit, which are widely used in organic synthesis. The oximes, including oxime ethers and esters, could realize various transformations, such as C-H bond activation, Heck-type reactions, N-O bond cleavage/C-N bond formation, O-H bond cleavage and couplings. However, there is no a comprehensive review on this subject. Herein, we summarize the recent advances over the past 15 years in transition metal-catalyzed reactions involving oximes, focusing on the reaction scope, limitations and mechanisms.
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We analyze the torus fixed loci of Mixed Spin P fields moduli, and deduce its localization formulas with explicit factors. An algorithms toward evaluating quintic's Gromov-Witten and Fan-Jarvis-Ruan-Witten invariants are derived.
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We prove by the Hilbert-Mumford criterion that a slope stable polarized weighted pointed nodal curve is Chow asymptotic stable. This generalizes the result of Caporaso on stability of polarized nodal curves and of Hassett on weigh...
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We prove by the Hilbert-Mumford criterion that a slope stable polarized weighted pointed nodal curve is Chow asymptotic stable. This generalizes the result of Caporaso on stability of polarized nodal curves and of Hassett on weighted pointed stable curves polarized by the weighted dualizing sheaves. It also solves a question raised by Mumford and Gieseker, to prove the Chow asymptotic stability of stable nodal curves by the Hilbert-Mumford criterion.
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We study the symplectic mapping class groups of (CP2#5<(CP2)over bar>, omega) . Our main innovation is to avoid the detailed analysis of the topology of generic almost complex structures J(0) as in most of earlier literature. Instead, we use a c...
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We study the symplectic mapping class groups of (CP2#5<(CP2)over bar>, omega) . Our main innovation is to avoid the detailed analysis of the topology of generic almost complex structures J(0) as in most of earlier literature. Instead, we use a combination of the technique of ball-swapping (defined by Wu [Math. Ann. 359 (2014), pp. 153-168]) and the study of a semi-toric model to understand a "connecting map", whose cokernel is the symplectic mapping class group. Using this approach, we completely determine the Torelli symplectic mapping class group (Torelli SMCG) for all symplectic forms omega. Let N-omega be the number of (-2)-symplectic spherical homology classes. Torelli SMCG is trivial if N-omega > 8; it is pi(0)(Diff(+)(S-2, 5)) if N-omega = 0 (by Seidel [Lecture notes in Math., Springer, Berlin, 2008] and Evans [J. Symplectic Geom. 9 (2011), pp. 45-82]); and it is pi(0)(Diff(+)(S-2, 4)) in the remaining case. Further, we completely determine the rank of pi(1)(Symp(CP2#5<(CP2)over bar>, omega)) for any given symplectic form. Our results can be uniformly presented in terms of Dynkin diagrams of type A and type D Lie algebras. We also provide a solution to the smooth isotopy problem of rational 4-manifolds (open problem 16 in McDuff-Salamon's book 3rd version [Oxford graduate texts in mathematics, Oxford University Press, Oxford, 2017]).
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The current carbon-based energy system is undergoing a profound change driven by the increased concerns over the longevity and security of energy supply, as well as energy-related emissions of carbon dioxide and air pollutions. Th...
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The current carbon-based energy system is undergoing a profound change driven by the increased concerns over the longevity and security of energy supply, as well as energy-related emissions of carbon dioxide and air pollutions. The evolutionary trend of this transition is toward a smart energy network of the future that is characterized by widespread deployment of clean energy technologies and intelligent energy management technologies. In this transition, hydrogen and fuel/electrolysis cell technologies have crucial roles to play in developing the smart energy network, which is particularly captured in this work. The features of the future energy system, i.e., the smart energy network, are illustrated. In particular, the visions from technical aspects for the deployment of battery-based electric vehicles and fuel-cell-based electric vehicles are discussed. The key technologies and its current status for the smart energy network are reviewed. Copyright (C) 2015, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights reserved.
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