In this paper, we study a generalized quasi-variational inequality (GQVI for short) with twomultivalued operators and two bifunctions in a Banach space setting. A coupling of the Tychonov fixedpoint principle and the ...
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In this paper, we study a generalized quasi-variational inequality (GQVI for short) with twomultivalued operators and two bifunctions in a Banach space setting. A coupling of the Tychonov fixedpoint principle and the Katutani-Ky Fan theorem for multivalued maps is employed to prove a new existencetheorem for the GQVI. We also study a nonlinear optimal control problem driven by the GQVI and givesufficient conditions ensuring the existence of an optimal control. Finally, we illustrate the applicability of thetheoretical results in the study of a complicated Oseen problem for non-Newtonian fluids with a nonmonotone andmultivalued slip boundary condition (i.e., a generalized friction constitutive law), a generalized leak boundarycondition, a unilateral contact condition of Signorini’s type and an implicit obstacle effect, in which themultivalued slip boundary condition is described by the generalized Clarke subgradient, and the leak boundarycondition is formulated by the convex subdifferential operator for a convex superpotential.
We consider a differential variational-hemivariational inequality with constraints,in the framework of reflexive Banach *** existence of a unique mild solution of the inequality,together with its stability,was proved ...
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We consider a differential variational-hemivariational inequality with constraints,in the framework of reflexive Banach *** existence of a unique mild solution of the inequality,together with its stability,was proved in[1].Here,we complete these results with existence,uniqueness and convergence results for an associated penalty-type *** this end,we construct a sequence of perturbed differential variational-hemivariational inequalities governed by perturbed sets of constraints and penalty *** prove the unique solvability of each perturbed inequality as well as the convergence of its solution to the solution of the original ***,we consider a mathematical model which describes the equilibrium of a viscoelastic rod in unilateral *** weak formulation of the model is in a form of a differential variational-hemivariational inequality in which the unknowns are the displacement field and the history of the *** apply our abstract penalty method in the study of this inequality and provide the corresponding mechanical interpretations.
作者：
Upadhyay, B.B.Li, LijieMishra, PriyankaDepartment of Mathematics
Indian Institute of Technology Patna Bihar Patna801103 India Guangxi Colleges
Universities Key Laboratory of Complex System Optimization and Big Data Processing Yulin Normal University Guangxi Yulin537000 China Mathematics Division
School of Advanced Sciences and Languages VIT Bhopal University Bhopal-Indore Highway Kothrikalan Madhya Pradesh Sehore466114 India
In this paper, we study the classes of approximate Minty and Stampacchia type vector variational inequalities along with their local and weak versions on a Hadamard manifold, and a class of nonsmooth interval-valued m...
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Star anise, rich in effective active constituents, is extensively employed in the pharmaceutical and food industries. The drying temperature can irreversibly damage these constituents. To enhance the drying quality an...
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Star anise, rich in effective active constituents, is extensively employed in the pharmaceutical and food industries. The drying temperature can irreversibly damage these constituents. To enhance the drying quality and efficiency, this study undertook experiments using three drying methods on star anise including microwave vacuum drying, hot air drying, and a combination of microwave vacuum and hot air drying. The research examined the impacts of varying drying conditions on the drying characteristics of star anise, the moisture diffusion coefficient, and the primary component contents (anethole and shikimic acid). Models were separately established for microwave vacuum and hot air thin-layer drying kinetics including Lewis, Weibull distribution, two-term exponential, Wang, and Singh models, and a Weibull distribution model for combined microwave vacuum-hot air drying. The results indicated that drying with microwave vacuum and hot air primarily proceeded in a falling rate drying phase, whereas combined microwave vacuum and hot air drying encompassed both falling rate and constant rate stages. The effective moisture diffusion coefficients (Deff) for microwave vacuum drying and hot air drying of star anise ranged from 3.4423E-07 to 8.8239E-07 m2/s and 2.0386E-08 to 8.8239E-07 m2/s, respectively, while the Deff for combined microwave and hot air drying ranged from 2.8683E-07 to 4.8014E-07 m2/s and 7.9516E-8 to 2.0964E-7 m2/s, respectively. Evidently, segmented combined drying facilitated more convenient moisture diffusion, and both coefficients increased with microwave power and hot air temperature. During the microwave vacuum and hot air drying processes, both the Wang and Singh models and the Weibull distribution models showed good fitting effects. The Weibull distribution model could effectively predict the drying behavior of segmented microwave vacuum and hot air drying of star anise. In comparison with hot air drying time, combined microwave vacuum and hot air dr
Exocarpium citreic grandis is the immature outer peel of grapefruit and contains active ingredients such as naringin and rhoifolin. The drying temperature can have a significant effect on the constituents. In order to...
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Exocarpium citreic grandis is the immature outer peel of grapefruit and contains active ingredients such as naringin and rhoifolin. The drying temperature can have a significant effect on the constituents. In order to explore the rules of moisture and quality changes in exocarpium citreic grandis during microwave vacuum drying, this study investigated the effects of different microwave intensities (0.75, 1.25, 1.50, 1.75, 2.00 W/g) on the drying characteristics and main component content of exocarpium citreic grandis. The results showed that, at a microwave intensity of 0.75 W/g, the drying process was controlled by a constant speed stage. At microwave intensities of 1.25 W/g and 1.50 W/g, the drying process was divided into three parts including acceleration stage, constant speed stage, and deceleration stage. When the microwave intensity increased to 1.75 W/g and 2.00 W/g, the drying process was divided into acceleration and deceleration stages with no constant speed drying stage. The resulted data suggested that the thin-layer drying kinetics model of exocarpium citreic grandis was fitted. The selection principle of the model was analyzed from four aspects including modification of the original model, transformation of dependent and independent variables, complex model, and initial and terminal conditions. Lewis, Page, Two-term exponential, and Weibull distribution models were selected for fitting analysis. The optimal thin-layer drying models were the Page model and the Weibull distribution model. The scale parameter α of the Weibull distribution function decreased with the increase in microwave intensity. The shape parameter β underwent slight changes with moisture migration mechanisms being the combined effect of surface moisture evaporation and internal moisture diffusion. The effective moisture diffusion coefficient Deff was increasing with the increase in microwave intensity. The activation energy Ea for microwave vacuum drying of exocarpium citreic grandis
This paper is devoted to the periodic behaviors of the SNARE-SM model with weak diffusion. More precisely, with the help of geometric singular perturbation theory, we investigate theoretically the existence of relaxat...
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A wideband tri-polarization reconfigurable metasurface (MTS) antenna with a filtering function is presented in this article. The proposed antenna consists of two layers, which are the coupled aperture layer and MTS la...
A wideband tri-polarization reconfigurable metasurface (MTS) antenna with a filtering function is presented in this article. The proposed antenna consists of two layers, which are the coupled aperture layer and MTS layer. The antenna is excited by a microstrip printed on the bottom of the aperture layer, and the ground plane is fabricated on the top. A reconfigured coupled aperture achieved polarization diversity is etched on the ground plane. Additionally, the complementary split ring resonator (CSRR) is loaded on the ground plane and introduced a low-frequency radiated null. Six sets of PIN diodes are inserted on the microstrip and the reconfigured coupled aperture. By controlling the PIN diodes, polarization diversity is obtained, including linear polarization (LP), right-hand circular polarization (RHCP), and left-hand circular polarization (LHCP) modes. Besides, the MTS is manufactured on the top of the MTS layer. A high-frequency radiated null is realized by the non-uniform MTS. Thus, a polarization diversity with filtering performance antenna based on non-uniform is proposed. The simulated results show the antenna has a wide impedance bandwidth (IMBW) of 41.4% and 45.6% for LP and CP modes, respectively. While the antenna is operated in CP modes, an overlapped 3-dB axial ratio (AR) bandwidth reaches 16.2% for both CP modes. Meanwhile, the out-of-band radiation suppression level is more than 14.6 dB and 17 dB for LP and CP modes.
In this article, we introduce a filtering antenna with broadband and a compact design. It leverages metasurface (MTS) technology in conjunction with the complementary split ring resonator (CSRR) topology. The antenna ...
In this article, we introduce a filtering antenna with broadband and a compact design. It leverages metasurface (MTS) technology in conjunction with the complementary split ring resonator (CSRR) topology. The antenna consists of three parts, including the feeding line, the aperture layer, and the MTS layer. The MTS is excited by a coupled aperture cut out of the ground plane. Besides, the CSRR is loaded on the ground plane to utilize the resonant characteristic and obtain a low-frequency radiation null. Furthermore, the MTS is made up of non-uniform rectangle units and a rectangle ring slot is etched in the outer elements. Due to the non-uniformity of the MTS and the rectangle ring slot, the excited current of the MTS at high frequency is neutralized and two high-frequency radiation nulls are obtained. Hence, the filtering function of the antenna is achieved. In the simulation, the antenna shows a wide -10-dB impedance bandwidth of 40.8% and a good out-of-band radiation suppression level of more than 15 dB. Meanwhile, the antenna has a low prolife of 0.06 λ (at the center operating frequency) and a peak gain of 8 dBi.
Electrocardiogram (ECG) plays an imperative role in the clinical diagnosis of heart disease and heart abnormalities. In order to obtain the original ECG signal morphology, the wavelet threshold technique is usually us...
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