Global Existence to an Attraction-Repulsion Chemotaxis Model with Fast Diffusion and Nonlinear Source by Yingjie Zhu, Fuzhong Cong

“…Such fast diffusion guarantees the global existence of solutions for any given initial value in a bounded domain. …”
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Stochastic Representation and Monte Carlo Simulation for Multiterm Time-Fractional Diffusion Equation by Longjin Lv, Luna Wang

“…In this paper, we mainly study the solution and properties of the multiterm time-fractional diffusion equation. First, we obtained the stochastic representation for this equation, which turns to be a subordinated process. …”
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A Nonoscillatory Second-Order Time-Stepping Procedure for Reaction-Diffusion Equations by Philku Lee, George V. Popescu, Seongjai Kim

“…After a theory of morphogenesis in chemical cells was introduced in the 1950s, much attention had been devoted to the numerical solution of reaction-diffusion (RD) partial differential equations (PDEs). …”
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Exploring Magnetic Fields in Molecular Clouds through Denoising Diffusion Probabilistic Models by Duo Xu, Jenna Karcheski, Chi-Yan Law, Ye Zhu, Chia-Jung Hsu, Jonathan C. Tan

“…We present a machine learning approach using denoising diffusion probabilistic models (DDPMs) to estimate magnetic field strength from synthetic observables such as column density, orientation angles of the dust continuum polarization vector, and line-of-sight (LOS) nonthermal velocity dispersion. …”
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RESEARCH OF DIFFUSIVE ALLOYED SELF­FLUXING POWDERS ON THE BASIS OF STEELS OF AN AUSTENITIC CLASS by A. F. Panteleenko, O. G. Devoyno

“…Researches of diffuse-alloyed self-fluxing powders, based on austenitic steels, suggest that the resulting material will have high dyuromatricheskimi characteristics that allow its use for wear-resistant coatings.…”
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Scare Behavior Diffusion Model of Health Food Safety Based on Complex Network by Jun Luo, Jiepeng Wang, Yongle Zhao, Tingqiang Chen

“…This study constructs a heterogeneous model of health food safety scare behavior diffusion through a complex network model by considering health food safety information transparency and health food consumers’ ability to process information. …”
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Novel stability results for traveling wavefronts in an age-structured reaction-diffusion equation by Ming Mei, Yau Shu Wong

Subjects: “…time-delayed reaction-diffusion equation…”
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Antioxidants in the Treatment of Chronic Diffuse Liver Diseases (the Results of the “MAXAR” Observational Program) by M. V. Mayevskaya, V. T. Ivashkin, V. D. Lunkov, S. P. Kryzhanovskiy, I. Yu. Pirogova, Ch. S. Pavlov, M. S. Zharkova, A. G. Beniashvili, M. A. Morozova

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Improving the efficiency of adsorption filters with a short diffuser by improving their flow part by A. S. Korneeva, N. Yu. Filkin

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A Novel Preferential Diffusion Recommendation Algorithm Based on User’s Nearest Neighbors by Fuguo Zhang, Yehuan Liu, Qinqiao Xiong

“…However, most of network based algorithms do not give a high enough weight to the influence of the target user’s nearest neighbors in the resource diffusion process, while a user or an object with high degree will obtain larger influence in the standard mass diffusion algorithm. …”
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Adaptive Extraction of Oil Painting Texture Features Based on Reaction Diffusion Equation by Qicai Huang

“…The oil painting retrieval technology based on the reaction diffusion equation has attracted widespread attention in the fields of oil painting processing and pattern recognition. …”
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Diffuse Large B-Cell Lymphoma in an Adolescent Male Presenting as Ureteral Stricture by Christopher D. Jaeger, Kelly L. McAlvany, Shannon N. Zingula, Stephen A. Kramer, Candace F. Granberg

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On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations by Cancès, Clément, Venel, Juliette

“…We study a finite volume scheme for the approximation of the solution to convection diffusion equations with nonlinear convection and Robin boundary conditions. …”
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A New Model for Competitive Knowledge Diffusion in Organization Based on the Statistical Thermodynamics by Ju-Yong Jong, Wei-Wei Wu, Sung-Ryol So

“…In this study, we have constructed a new model for competitive knowledge diffusion in organization based on the statistical thermodynamics of physics. …”
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A data-motivated density-dependent diffusion model of in vitro glioblastoma growth by Tracy L. Stepien, Erica M. Rutter, Yang Kuang

“…We propose a single equation which uses density-dependent diffusion to capture the behavior of both proliferation and migration. …”
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Forecasting New Product Diffusion Using Grey Time-Delayed Verhulst Model by Yuhong Wang, Shulin Yang, Wuyong Qian, Xiaozhong Li

“…Taking account of the time-delayed phenomenon in diffusion of new products, we propose the time-delayed Verhulst model and then establish a grey time-delayed Verhulst model using the method of grey differential equations. …”
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Numerical Simulation and Analysis of Diffusion Process for the Leakages of a Tunnel LNG Pipeline by Chunyan Kong, Derong Zhang, Rong Cai, Shuangshuang Li, Rongjun Zhu

“…Taking a practical project as an example, based on the computational fluid dynamics (CFD), standard k-ε model and finite element method, a mathematical model for the diffusion due to liquefied natural gas (LNG) pipeline leakage in a tunnel was established, and the diffusion process was numerically simulated for three LNG leakage cases. …”
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Pattern Formation in a Cross-Diffusive Ratio-Dependent Predator-Prey Model by Xinze Lian, Yanhong Yue, Hailing Wang

“…The diffusion instability of the positive equilibrium of the model with Neumann boundary conditions is discussed. …”
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Qualitative application of the diffusion of innovation theory to maternity waiting homes in rural Zambia by Jeanette L. Kaiser, Rachel M. Fiorillo, Taryn Vian, Thandiwe Ngoma, Kayla J. Kuhfeldt, Michelle L. Munro-Kramer, Davidson H. Hamer, Misheck Bwalya, Viviane R. Sakanga, Jody R. Lori, Eden Ahmed Mdluli, Peter C. Rockers, Godfrey Biemba, Nancy A. Scott

“…We sought to understand how attributes that are thought to promote diffusion of innovations (e.g., relative advantage, compatibility, observability, complexity, etc.) affected MWH use after implementation of an improved quality MWH model in rural Zambia compared to standard of care. …”
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An Unusual Initial Presentation of Diffuse Large B-Cell Lymphoma as Recurrent Syncope by Kunhwa Kim, Harpreet Kaur, Matthew Chan, Manju Balasubramanian, Sorab Gupta, Vinicius M. Jorge

“…We describe a rare presentation of diffuse large B-cell Lymphoma (DLBCL) with recurrent episodes of syncope. …”
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