Pseudo-Steady-State Parameters for a Well Penetrated by a Fracture with an Azimuth Angle in an Anisotropic Reservoir by Guoqiang Xing, Mingxian Wang, Shuhong Wu, Hua Li, Jiangyan Dong, Wenqi Zhao

“…Secondly, with the asymptotic analysis method, the expressions of pseudo-steady-state constant and pseudo-skin factor were obtained on the basis of their definitions, and the effects of permeability anisotropy, fracture azimuth angle, fracture conductivity and reservoir shape on them were discussed in detail. …”
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On AC-Field-Induced Nonlinear Electroosmosis next to the Sharp Corner-Field-Singularity of Leaky Dielectric Blocks and Its Application in on-Chip Micro-Mixing by Yukun Ren, Weiyu Liu, Ye Tao, Meng Hui, Qisheng Wu

“…Starting from this point, we conduct herein a linear asymptotic analysis on nonlinear electroosmotic flow next to leaky dielectric blocks of arbitrary electrical conductivity and dielectric permittivity in harmonic AC electric fields, and theoretically demonstrate that observable ICEO fluid motion can be generated at high field frequencies in the vicinity of nearly insulating semiconductors, a very low electrical conductivity, of which can evidently increase the double-layer relaxation frequency (inversely proportional to the solid permittivity) to be much higher than the typical reciprocal RC time constant for induced double-layer charging on ideally polarizable surfaces. …”
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Secrecy Performance Analysis of Parallel FSO/mm-wave System Over Unified Fisher-Snedecor Channels by Wafaa Mohammed Ridha Shakir, Mohamed-Slim Alouini

“…Furthermore, to better understand the influence of various system and channel parameters, asymptotic analysis is performed at high signal-to-noise ratio values. …”
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Molecular mechanics and structure of the fluid-solid interface in simple fluids by Wang, Gerald Jonathan, Hadjiconstantinou, Nicolas

“…We use molecular-mechanics arguments and molecular-dynamics (MD) simulations to develop a better understanding of the structure of the first fluid layer directly adjacent to the solid in the layering regime, as delineated by a nondimensional number that compares the effects of wall-fluid interaction to thermal energy. Using asymptotic analysis of the Nernst-Planck equation, we show that features of the fluid density profile close to the wall, such as the areal density of the first layer Σ[subscript FL] (defined as the number of atoms in this layer per unit of fluid-solid interfacial area), can be expressed as polynomial functions of the fluid average density ρ[subscript ave]. …”
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Interactions between Mesoscale and Submesoscale Gravity Waves and Their Efficient Representation in Mesoscale-Resolving Models by Wilhelm, Jannik, Bölöni, Gergely, Wei, Junhong, Ribstein, Bruno, Klein, Rupert, Achatz, Ulrich, Akylas, Triantaphyllos R

“…A large-amplitude WKB theory, allowing for a mesoscale unbalanced flow, is then formulated, based on multiscale asymptotic analysis utilizing a proper scale-separation parameter. …”
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Cascaded FSO systems with optical reflecting surfaces by Vishwakarma, Narendra, Swaminathan, R., Diamantoulakis, Panagiotis D., Karagiannidis, George K.

“…Utilizing the derived CDFs, the closed-form expressions for outage probability and average symbol error rate (SER) of the proposed multiple ORSs system are obtained along with performing asymptotic analysis. Finally, the numerical results indicate that the performance of ORS-assisted FSO systems is significantly degraded by severe turbulence, pointing errors, and imperfect CSI. …”
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Performance analysis of multiple HAPS-based hybrid FSO/RF space-air-ground networks by Singh, Deepshikha, Swaminathan, Ramabadran, Marrapu, Aravind, Madhukumar, A. S.

“…The performance analysis of the proposed SAG network involves evaluating the outage probability and average symbol error rate (SER) considering the presence of pointing errors and assuming Málaga distribution in case of FSO and shadowed k - µ fading distribution in case of RF link. Furthermore, asymptotic analysis is conducted to determine the diversity gain of the proposed system. …”
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The effect of weak inertia in rotating high-aspect-ratio vessel bioreactors by Dalwadi, M, Oliver, J, Chapman, S, Waters, S

“…<br/> We consider the coupled flow and construct motion problem within a rotating highaspect-ratio vessel bioreactor. Using an asymptotic analysis, we investigate the case where the Reynolds number is large but the geometry of the bioreactor yields a small reduced Reynolds number, resulting in a weak inertial effect. …”

Secondary Sonic Boom by Kaouri, K

“…For the accelerating motions the asymptotic analysis of the wavefield reveals the formation of singularities which are incompatible with linear theory; this suggests the re-introduction of nonlinear effects. …”

Derivative pricing and optimal execution of portfolio transactions in finitely liquid markets by Mitton, M

“…Focussing on this pure liquidity case we then employ an asymptotic analysis to examine the price of a European call option near strike and expiry where the liquidity effects are shown to be most significant and closed-form expressions for the price are derived in this region. …”

Dynamic buckling instabilities in fluids and solids by Kodio, O

“…We explain how wrinkle coarsening occurs as the result of wave dispersion and quantify coarsening by presenting an asymptotic analysis of the governing equation. We also study the effect of confinement and show that it has a crucial effect on coarsening at late times. …”

Predictive models of metabolite concentration for organoid expansion by Ellis, M

“…Finally, we combine the 3D flow model into the model for metabolite transport and organoid growth. We perform an asymptotic analysis on this model to reduce its spatial dimension --- this allows us to efficiently predict the metabolic environment and associated organoid size across the CXP1 bioreactor.…”

Secrecy Performance of SIMO Underlay Cognitive Radio Networks Over &#x03B1; &#x2013; &#x03BC; Fading Channels by Suneel Yadav, Devendra Singh Gurjar

“…Further, we carry out the asymptotic analysis of SOP and intercept probability under two cases of interest; 1) when the average signal-to-noise ratio (SNR) of the main link, i.e., between the secondary source and secondary destination, goes to infinity with a fixed average SNR of wiretap link between the secondary source and secondary eavesdropper, and 2) when the SNRs of both the main and wiretap links tend to infinity. …”
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The Cost of Noncoherence: Avoiding Channel Estimation Through Differential Encoding in Phase Quantized Systems by Samiru Gayan, Hazer Inaltekin, Rajitha Senanayake, Jamie Evans

“…By leveraging the structure of the derived optimum detector, we obtain the expression for the message error probability in Rayleigh fading wireless channels. Through asymptotic analysis in the high signal-to-noise ratio regime, we reveal a crucial finding that achieving the same diversity order as infinite bit quantization with full channel knowledge requires an additional two bits at the quantizer, in addition to the minimum requirement of <inline-formula> <tex-math notation="LaTeX">$\log _{2} M$ </tex-math></inline-formula> bits. …”
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TAS Strategies for Incremental Cognitive MIMO Relaying: New Results and Accurate Comparison by Zakaria El-Moutaouakkil, Kamel Tourki, Halim Yanikomeroglu, Samir Saoudi

“…Fourth, we simplify our exact derivations by means of the asymptotic analysis which reveals that the detrimental effect of mutual interference on the secondary system is originated from the primary transmitter (i.e., co-channel interference) and not from the primary receiver (i.e., interference threshold). …”
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A Unified Analysis of Fox H-Fading With Beam Misalignment: Theory and Applications by Hugerles S. Silva, Wamberto J. L. Queiroz, Felipe A. P. Figueiredo, Rausley A. A. de Souza, Yonghui Li

“…The analysis also derives expressions for important metrics such as the bit error probability, outage probability, and ergodic channel capacity, as well as an asymptotic analysis of these metrics. Moreover, this work investigates several special cases and provides a detailed examination of the relationship between the Nakagami-<inline-formula><tex-math notation="LaTeX">$m$</tex-math></inline-formula>, <inline-formula><tex-math notation="LaTeX">$\alpha$</tex-math></inline-formula>-<inline-formula><tex-math notation="LaTeX">$\mathcal {F}$</tex-math></inline-formula>, and extended generalized-<inline-formula><tex-math notation="LaTeX">$K$</tex-math></inline-formula> fading models and the Fox H-fading distribution. …”
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Global Instability of Rod Eutectic Growth in Directional Solidification by Yanlin Gan, Xiangming Li

“…Based on the experimental system of rod eutectic growth, combined with solidification thermodynamics and kinetics, the unsteady mathematical model of the rod eutectic was established. We used the asymptotic analysis method to seek the analytical solution of the mathematical model and used the nonlinear stability analysis theory to analyze the analytical solution and establish the corresponding disturbance model. …”
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Performance Analysis of MPSK FSO Communication Based on the Balanced Detector in a Fiber-Coupling System by Haifeng Yao, Xiaolong Ni, Chunyi Chen, Bo Li, Xianglian Feng, Xianzhu Liu, Zhi Liu, Shoufeng Tong, Huilin Jiang

“…Finally, the MPSK-signal-to-noise-ratio (SNR) model is also studied to evaluate system communication performance. Through our asymptotic analysis, if the required ABER falls below the 7% forward error correction (FEC) limit of 3.8 &#x00D7; 10^-3, the SNR should maintain at least 38 dB or more, while the normalized fluctuation variance deteriorates to 5.2441. …”
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Experimental and Analytical Investigations of an Optically Pre-Amplified FSO-MIMO System With Repetition Coding Over Non-Identically Distributed Correlated Channels by Richa Priyadarshani, Manav R. Bhatnagar, Jan Bohata, Stanislav Zvanovec, Zabih Ghassemlooy

“…Moreover, novel closed-form expressions for the asymptotic BER are derived; a comprehensive discussion about the diversity order and coding gain is presented by performing asymptotic analysis at high signal-to-noise ratio (SNR). …”
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Why the Cox–Merz rule and Gleissle mirror relation work: A quantitative analysis using the Wagner integral framework with a fractional Maxwell kernel by Rathinaraj, Joshua David John, Keshavarz, Bavand, McKinley, Gareth H

“…We then evaluate the same expressions using asymptotic analysis and direct numerical integration for more representative complex fluids having a wide range of relaxation times and nonlinear responses characterized by damping functions of exponential or Soskey–Winter form. …”
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