ABSTRACT In this paper, we investigate subelliptic harmonic maps with a potential from noncompact complete sub-Riemannian manifolds corresponding to totally geodesic Riemannian foliations. Under...
ABSTRACT We study the incompressible limit of classical solutions to compressible ideal magneto-hydrodynamics in a domain with a flat boundary. The boundary condition is characteristic and the i...
ABSTRACT Fractional calculus has drawn more attentions of mathematicians and engineers in recent years. A lot of new fractional operators were used to handle various practical problems. In this ...
ABSTRACT Estimating parameters of drift and diffusion coefficients for multidimensional stochastic delay equations with small noise are considered. The delay structure is written as an integral ...
ABSTRACT In this paper, we propose an estimator for the Ornstein–Uhlenbeck parameters based on observations of its supremum. We derive an analytic expression for the supremum density. Making u...
ABSTRACT Let (X, T) be a linear dynamical system, where X is a Banach space and T: X → X is a bounded linear operator. This paper obtains that (X, T) is sensitive (Li-Yorke sensitive, mean sen...
ABSTRACT This paper is concerned with the global well-posedness of the solution to the compressible Navier-Stokes/Allen-Cahn system and its sharp interface limit in one-dimensional space. For th...
ABSTRACT We consider a first order periodic system in ℝN, involving a time dependent maximal monotone operator which need not have a full domain and a multivalued perturbation. We prove the ex...
ABSTRACT The hydrodynamics of active liquid crystal models has attracted much attention in recent years due to many applications of these models. In this paper, we study the weak-strong uniquene...
ABSTRACT With remarkable learning capabilities and swift operational speeds, artificial intelligence (AI) can assist researchers in swiftly extracting valuable patterns, trends, and associations...
ABSTRACT Micro triadic structure is an important motif and serves the building block of complex networks. In this paper, the authors define structure entropy for a social network and explain thi...
ABSTRACT I-VED (In-Vivo Embolic Detector) is a novel diagnostic tool for non-invasive, real-time detection of bubbles in humans. Bubbles are precursors of decompression sickness (DCS), which can...
ABSTRACT Parasitic currents still pose a significant challenge for the investigation of two-phase flow in Lab-on-Chip (LoC) applications with Volume-of-Fluid (VoF) simulations. To counter the im...
ABSTRACT For training artificial neural network (ANN), big data either generated by machine or measured from experiments are used as input to “learn” the unspecified functions defining the A...
ABSTRACT The roughness of the contact surface exerts a vital role in rubbing. It is still a significant challenge to understand the microscopic contact of the rough surface at the atomic level. ...
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ABSTRACT Development of energy-efficient lubricants is a way to reduce energy consumption for transportation, with the tendency to design molecules that are beneficial in reducing the viscosity ...
ABSTRACT In this work, a new method to solve the Reynolds equation including mass-conserving cavitation by using the physics informed neural networks (PINNs) is proposed. The complementarity rel...
ABSTRACT So far, it has been a challenge for existing interatomic potentials to accurately describe a wide range of physical properties and maintain reasonable efficiency. In this work, we devel...
ABSTRACT This study introduces a method to predict the remaining useful life (RUL) of plain bearings operating under stationary, wear-critical conditions. In this method, the transient wear data...