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Our work is to prove the global existence and uniqueness of solutions to the inhomogeneous incompressible Navier-Stokes system in the case where the initial density $\rho_0$ is discontinuous and the i...
Abstract: We establish the global existence and uniqueness of classical solutions to the three-dimensional full compressible Navier-Stokes system with smooth initial data which are of small energy but...
Abstract: We study the dynamics of the large N limit of the Kuramoto model of coupled phase oscillators, subject to white noise. We introduce the notion of shadow inertial manifold and we prove their ...
Abstract: This paper is addressed to an inverse stochastic hyperbolic equation with three unknowns, i.e., a source term, an initial displacement and an initial velocity. The global uniqueness is prove...
Abstract: We study equivariant maps corresponding to the classical Skyrme model and the Adkins-Nappi model, for which we prove global existence and scattering in critical Sobolev-Besov spaces.
We apply the conformal gravity theory to a sample of 110 spiral galaxies whose rotation curve data points extend well beyond the optical disk. With no free parameters other than galactic mass to ligh...
Proteins in organisms usually form protein complexes to perform cellular functions rather than act alone. We represent the topological network structure of protein complexes and their component prote...
Computational parsimony makes reduced factor Libor market models popular among practioners. However, value functions and sensitivities of such models are described by degenerate parabolic (i.e. semiel...
Subharmonic resonance of global climate to solar forcing     Subharmonic resonance  global climate  solar forcing       font style='font-size:12px;'> 2010/4/2
It is shown that, the wavelet regression detrended fluctuations of the monthly global temperature data (land and ocean combined) for the period 1880-2009yy, are completely dominated by one-third subha...
Quantum information processed in strongly correlated states of matter can provide built in hardware protection against errors. We may encode information in highly non local degrees of freedom, such as...
In Phys. Rev. Lett. 99, 170502 (2007) (arXiv:quant-ph/0703227), we prove that resonating-valence-bond (RVB) states on arbitrary lattices possess genuine multiparty entanglement, and provide bounds on ...
2001Vol.36No.2pp.129-130DOI: Global Solutions of Einstein-Dirac Equation on the Conformal Space LU Qi-Keng,1 WANG Shi-Kun2 and WU Ke3 1 Institute of Mathematics, Academ...
2007Vol.47No.6pp.1143-1144DOI: A Note on “Global Exponential Convergence Analysis of Hopfield Neural Networks with Continuously Distributed Delays” CHANG Da-Wei Facu...
2006Vol.46No.4pp.717-722DOI: Quark Loop Effects on Dressed Gluon Propagator in Framework of Global Color Symmetry Model ZONG Hong-Shi1,2,3 and SUN Wei-Min1,2 1 Departmen...
2002Vol.38No.2pp.205-208DOI: The Mixed Quark-Gluon Condensate from the Global Color Symmetry Model ZONG Hong-Shi,1,2 PING Jia-Lun,3 LÜ Xiao-Fu,4 WANG Fan,1 and ZHAO En-Guang...

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