Search

This paper investigates the isentropic compressible Navier-Stokes equations on k-connected domains under Navier-slip boundary conditions. We study the multi-solvability of the stationary systems on general domains, which is closely related with the Cauchy-Riemann systems and critical points of harmonic functions on the domain. Then based on the structure of Green's functions, the commutator estimates are obtained on the circular domains and extended to general domains with the help of conformal mappings. Moreover, we will utilize these assertions to discuss the global well-posedness and large time behaviours of the non-stationary systems on general domains with large initial values containing vacuum.

Order and disorder constitute two fundamental and opposite themes in condensed matter physics and materials science. Crystals are considered the epitome of order characterized by long-range translational order. The discovery of quasicrystals, with no periodicity but rotational symmetries forbidden for crystals, leads to a paradigm shift in solid-state physics. Moving one step forward, it is intriguing to ask whether ordered matter exists without apparent symmetry breaking. The same question may arise in the pursuit of how ordered amorphous (noncrystalline) solids can be. Here we report the finding of ideal noncrystals in two dimensions, which are disordered in the conventional sense without Bragg peaks but highly ordered according to the steric order. We find that such ideal noncrystals have vibrational modes the same as phonons following the Debye law. The elastic responses are fully affine, which is again characteristic of crystals, and the spatial fluctuations of local volume fractions approach hyperuniformity. Therefore, ideal noncrystals represent an anomalous form of matter with a mixed nature of noncrystalline structure but crystal-like properties. Since such states are found to be thermodynamically favorable, we identify them as a possible new class of ordered matter without apparent broken symmetry. Our results thus extend the scope of the ordered state of matter and may impact the understanding of entropy-driving ordering also in generic amorphous materials.

Financial market predictions utilize historical data to anticipate future stock prices and market trends. Traditionally, these predictions have focused on the statistical analysis of quantitative factors, such as stock prices, trading volumes, inflation rates, and changes in industrial production. Recent advancements in large language models motivate the integrated financial analysis of both sentiment data, particularly market news, and numerical factors. Nonetheless, this methodology frequently encounters constraints due to the paucity of extensive datasets that amalgamate both quantitative and qualitative sentiment analyses. To address this challenge, we introduce a large-scale financial dataset, namely, Financial News and Stock Price Integration Dataset (FNSPID). It comprises 29.7 million stock prices and 15.7 million time-aligned financial news records for 4,775 S&P500 companies, covering the period from 1999 to 2023, sourced from 4 stock market news websites. We demonstrate that FNSPID excels existing stock market datasets in scale and diversity while uniquely incorporating sentiment information. Through financial analysis experiments on FNSPID, we propose: (1) the dataset's size and quality significantly boost market prediction accuracy; (2) adding sentiment scores modestly enhances performance on the transformer-based model; (3) a reproducible procedure that can update the dataset. Completed work, code, documentation, and examples are available at github.com/Zdong104/FNSPID. FNSPID offers unprecedented opportunities for the financial research community to advance predictive modeling and analysis.

In this paper, we construct the axisymmetric weak solutions to the 3D isothermal stationary compressible Navier-Stokes equations on the domain D, where the heat ratio equal 1 and the external force g satisfies certain cancellation conditions. We first establish the compactness assertion of the approximation solutions by assuming the total mass of the fluid is finite, then we exclude the trivial solution via imposing another type of restrictions on the density. To deal with the singularities near the symmetric axis and at the far field, we will derive proper weighted estimates of the L2-norm of the velocity field on the unbounded domain D, which belongs to the critical case of the Sobolev's inequality.

The large time behavior of the unique strong solution to the barotropic compressible Navier-Stokes system is studied with large external forces and initial data, where the shear viscosity is a positive constant and the bulk one is proportional to a power of the density. Some uniform estimates on the Lp-norm of the density are established, and then deduce that the density converges to its steady state in Lp-spaces, which transforms the large external force into a small one in some sense. Moreover, to deal with the obstacles brought by boundary, the conformal mapping and the pull back Green function are applied to give a point-wise representation of the effective viscous flux, and then make use of slip boundary conditions to cancel out the singularity., Comment: 55 pages

Spectroscopy is the basic tool for studying molecular physics and realizing bio-chemical sensing. However, it is challenging to realize sub-femtometer resolution spectroscopy over broad bandwidth. In this paper, broadband and high-resolution spectroscopy with calibrated optical frequency is demonstrated by bridging the fields of speckle patterns and electro-optic frequency comb (EOFC). A novel wavemeter based on whispering-gallery-mode (WGM) speckles (or WGM barcodes) is proposed to link the frequency of a tunable continuous-wave (CW) laser to an optical reference provided by an ultra-stable laser. The ultra-fine comb lines generated from the CW laser sample the spectrum with sub-femtometer resolution. Measurement bandwidth is far extended by performing sequential acquisitions, since the centre optical frequency of EOFC is absolutely determined by WGM speckle-based wavemter. This approach fully utilizes the advantages of two fields to realize 0.8-fm resolution with a fiber laser and 80-nm bandwidth with an external cavity diode laser. The spectroscopic measurements of an ultrahigh-Q cavity and the HCN gas absorption is demonstrated, which shows the potentials of this compact system with high resolution and broad bandwidth for more applications., Comment: 11 pages, 6 figures

The barotropic compressible Navier-Stokes system with non-slip (Dirichlet) boundary conditions in a three-dimensional bounded domain is considered. The global existence and uniqueness of classical solutions is obtained provided the initial energy is properly small and the initial density is strictly away from vacuum near the boundary of the domain. In particular, the density is allowed to vanish in the interior of the domain and its oscillations can be arbitrarily large. Moreover, a certain layering phenomenon occurs for the density, that is, the spatial gradient of the density remains uniformly bounded in some Lebesgue space with respect to time near the boundary and will grow unboundedly in the long run with an exponential rate provided vacuum (even a point) appears initially in the interior of the domain. Finally, in order to make clear distinction among the interior, intermediate, and the boundary parts of the domain, Lagrangian coordinates are also applied in our calculations.

We study the barotropic compressible Navier-Stokes system where the shear viscosity is a positive constant and the bulk one proportional to a power of the density with the power bigger than one and a third. The system is subject to the Navier-slip boundary conditions in a general two-dimensional bounded simply connected domain. For initial density allowed to vanish, we establish the global existence of strong and weak solutions without any restrictions on the size of initial value. To get over the difficulties brought by boundary, on the one hand, we apply Riemann mapping theorem and the pull back Green's function method to get a pointwise representation of the effective viscous flux. On the other hand, observing that the orthogonality is preserved under conformal mapping due to its preservation on the angle, we use the slip boundary conditions to reduce the integral representation to the desired commutator form whose singularities can be cancelled out by using the estimates on the spatial gradient of the velocity.

Physically vitrifying single-element metallic glass requires ultrahigh cooling rates, which are still unachievable for most of the closest-packed metals. Here, we report a facile synthetic strategy for creating mono-atomic palladium metallic glass nanoparticles with a purity of 99.35 +/- 0.23 at% from palladium-silicon liquid droplets using a cooling rate below 1000 K/s. In-situ environmental transmission electron microscopy directly detected the leaching of silicon. Further hydrogen absorption experiment showed that this palladium metallic glass expanded little upon hydrogen uptake, exhibiting a great potential application for hydrogen separation. Our results provide insight into the formation of mono-atomic metallic glass at nanoscale., Comment: Nano Res. (2022)

As an important type of cloud data, digital provenance is arousing increasing attention on improving system performance. Currently, provenance has been employed to provide cues regarding access control and to estimate data quality. However, provenance itself might also be sensitive information. Therefore, provenance might be encrypted and stored in the Cloud. In this paper, we provide a mechanism to classify cloud documents by searching specific keywords from their encrypted provenance, and we prove our scheme achieves semantic security. In term of application of the proposed techniques, considering that files are classified to store separately in the cloud, in order to facilitate the regulation and security protection for the files, the classification policies can use provenance as conditions to determine the category of a document. Such as the easiest sample policy goes like: the documents have been reviewed twice can be classified as "public accessible", which can be accessed by the public.

A fine-grained provenance-based access control policy model is proposed in this paper, in order to improve the express performance of existing model. This method employs provenance as conditions to determine whether a piece of data can be accessed because historical operations performed on data could reveal clues about its sensitivity and vulnerability. Particularly, our proposed work provides a four-valued decision set which allows showing status to match a restriction particularly. This framework consists of target policy, access control policy, and policy algebras. With the complete definition and algebra system construction, a practical fine-grained access control policy model is developed.

Data security and privacy is an important but challenging problem in cloud computing. One of the security concerns from cloud users is how to efficiently verify the integrity of their data stored on the cloud server. Third Party Auditing (TPA) is a new technique proposed in recent years to achieve this goal. In a recent paper (IEEE Transactions on Computers 62(2): 362-375 (2013)), Wang et al. proposed a highly efficient and scalable TPA protocol and also a Zero Knowledge Public Auditing protocol which can prevent offline guessing attacks. However, in this paper, we point out several security weaknesses in Wang et al's protocols: first, we show that an attacker can arbitrarily modify the cloud data without being detected by the auditor in the integrity checking process, and the attacker can achieve this goal even without knowing the content of the cloud data or any verification metadata maintained by the cloud server; secondly, we show that the Zero Knowledge Public Auditing protocol cannot achieve its design goal, that is to prevent offline guessing attacks., Comment: arXiv admin note: text overlap with arXiv:1912.00446

With the wide application of cloud storage, cloud security has become a crucial concern. Related works have addressed security issues such as data confidentiality and integrity, which ensure that the remotely stored data are well maintained by the cloud. However, how to define zero-knowledge proof algorithms for stored data integrity check has not been formally defined and investigated. We believe that it is important that the cloud server is unable to reveal any useful information about the stored data. In this paper, we introduce a novel definition of data privacy for integrity checks, which describes very high security of a zero-knowledge proof. We found that all other existing remote integrity proofs do not capture this feature. We provide a comprehensive study of data privacy and an integrity check algorithm that captures data integrity, confidentiality, privacy, and soundness.