Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions by Yu-Zhu Wang, Qingnian Zhang

“…The Cauchy problem for the Boussinesq equation in multidimensions is investigated. …”
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Regularity of Functions on the Reduced Quaternion Field in Clifford Analysis by Ji Eun Kim, Su Jin Lim, Kwang Ho Shon

“…From the properties of regular functions, we research the exponential function on the reduced quaternion field and represent the corresponding Cauchy-Riemann equations in hypercomplex structures of ℝ3.…”
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Persistence Property and Asymptotic Description for DGH Equation with Strong Dissipation by Ke-chuang Wang

“…We establish a sufficient condition to guarantee global-in-time solutions, then present persistence property for the Cauchy problem, and describe the asymptotic behavior of solutions for compactly supported initial data.…”
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Some Remarks on Quasi-Generalized CR-Null Geometry in Indefinite Nearly Cosymplectic Manifolds by Fortuné Massamba, Samuel Ssekajja

“…Attention is drawn to some distributions on ascreen Quasi-Generalized Cauchy-Riemannian (QGCR) null submanifolds in an indefinite nearly cosymplectic manifold. …”
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Spatial Distribution of the Probability of Satisfying the Chill Requirements of Pistachio in Iran Using ERA5-Land Reanalysis Data by Ebrahim Asadi Oskouei, Saeedeh Kouzegaran, Mansoureh Kouhi, Hossein Hokmabadi, Mohsen Eslami

“…If a higher probability of satisfying the chilling requirements is desired (75% of the years, the requirements of winter chilling are achieved) around 0.2, 29, 47 and 66 percent of the area of Iran are potentially suitable for Akbari, Owhadi, Ahamd-Aghaei and Kalle-Ghuchi cultivars respectively. Kalle-Ghuchi can be grown with a high probability of chilling requirement satisfaction in wide areas of Iran. …”
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Space-Time Estimates on Damped Fractional Wave Equation by Jiecheng Chen, Dashan Fan, Chunjie Zhang

“…We obtain space-time estimates on the solution u(t,x) to the Cauchy problem of damped fractional wave equation. …”
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IDHOCNET: A Novel ID Centric Architecture for Ad Hoc Networks by Shahrukh Khalid, Athar Mahboob, Choudhry Fahad Azim, Aqeel Ur Rehman

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Strategies to improve delivery of equitable and evidence-informed care for pregnant and birthing people with a substance use disorder in acute care settings: A scoping review proto... by Carla King, Gregory Laynor, Jennifer McNeely, Adetayo Fawole, Matthew Lee, Mishka Terplan, Sugy Choi

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Diffuse B Cell Non-Hodgkin’s Lymphoma Presenting Atypically as Periprosthetic Joint Infection in a Total Hip Replacement by Aysha Rajeev, Angela Ralte, Nameer Choudhry, Faizan Jabbar, Paul Banaszkiewicz

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A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE by A. Das, D. Barman, T. Bag

“…Concepts of convergent sequence, Cauchy sequence, completeness etc. are given, and we study some properties in such spaces. …”
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RESEARCH OF OPENING DISPLACEMENTS FOR TWO CRACKS EMANATING FROM A CIRCULAR HOLE IN AN INFINITE PLATE UNDER PRESSURE ON PART OF CRACK SURFACE by ZHU QingYu, SONG Bo, ZENG ZhaoYang

“…The results show that the complex variable function method and the Cauchy integral method used to calculate crack surface opening displacements can be applied for two-symmetric（or asymmetric） cracks emanating from a circular hole in an infinite plate. …”
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Wave-Breaking Phenomena and Existence of Peakons for a Generalized Compressible Elastic-Rod Equation by Xiaolian Ai, Lingyu Jiang, Ting Yi

“…Consideration in this paper is the Cauchy problem of a generalized hyperelastic-rod wave equation. …”
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Inverse Boundary Value Problem for the Magnetohydrodynamics Equations by Lianhua He, Zhong Tan

“…By the linearization technique, we prove that the uniqueness of viscosity function and magnetic diffusing function in the MHD equations is determined from the knowledge of the Cauchy data measured on the boundary.…”
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Coefficient Bounds for Certain Subclasses of Analytic Functions Defined by Komatu Integral Operator by Serap Bulut

“…We determine the coeffcient bounds for functions in certain subclasses of analytic functions of complex order, which are introduced here by means of a certain non-homogeneous Cauchy–Euler type differential equation of order m. …”
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On the Fourier-Transformed Boltzmann Equation with Brownian Motion by Yong-Kum Cho, Eunsil Kim

“…We establish a global existence theorem, and uniqueness and stability of solutions of the Cauchy problem for the Fourier-transformed Fokker-Planck-Boltzmann equation with singular Maxwellian kernel, which may be viewed as a kinetic model for the stochastic time-evolution of characteristic functions governed by Brownian motion and collision dynamics.…”
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Uniform Statistical Convergence on Time Scales by Yavuz Altin, Hikmet Koyunbakan, Emrah Yilmaz

“…However, we will define m-uniform Cauchy function on a time scale. Furthermore, some relations about these new notions are also obtained.…”
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Well-posedness and controllability of a nonlinear system for surface waves by Alex Montes, Ricardo Córdoba

“…In this paper we study the well-posedness for the periodic Cauchy problem and the internal controllability of a one-dimensional system that describes the propagation of long water waves with small amplitude in the presence of surface tension. …”
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The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions by Siqi Xu

“…The Cauchy initial value problem of the modified coupled Hirota equation is studied in the framework of Riemann-Hilbert approach. …”
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Nonuniform Dependence on Initial Data of a Periodic Camassa-Holm System by Xiaohuan Wang

“…By constructing two sequences of solutions of the two-component Camassa-Holm system, we prove that the solution map of the Cauchy problem of the two-component Camassa-Holm system is not uniformly continuous in Hs (𝕊), s>5/2.…”
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Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3 by Jihong Zhao, Chao Deng, Shangbin Cui

“…For small initial data, the global existence, uniqueness, and asymptotic stability as time goes to infinity of self-similar solutions to the Cauchy problem of this system posed in the whole three dimensional space are proved in the function spaces of pseudomeasure type.…”
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