Cutting-Edge Mathematics: Rsme 2022, Ciudad Real, Spain, January 17-21, 2022
Herrero, Henar, Navarro, María Cruz, Serrano, Hélia
- 出版商: Springer
- 出版日期: 2024-08-26
- 售價: $7,640
- 貴賓價: 9.5 折 $7,258
- 語言: 英文
- 頁數: 153
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031620240
- ISBN-13: 9783031620249
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商品描述
The book contains a selection of research and expository papers in pure and applied mathematics presented by various authors as plenary or invited speakers at the biennial congress of the Spanish Royal Mathematical Society held in Ciudad Real (Spain) in January 2022. The main results focus on the Yang problem and its solution proposed by Globevnik; a phylogenetic reconstruction based on algebra; the Calderon problem for local and nonlocal Schrödinger equations; some open problems in orthogonal polynomial theory; Quillen's rational homotopy theory; Ulrich bundles and applications; and free objects in theory of Banach spaces. Researchers in these fields are potential audiences.
商品描述(中文翻譯)
本書收錄了多位作者在2022年1月於西班牙Ciudad Real舉行的西班牙皇家數學學會雙年大會上作為全體或受邀演講者所發表的純數學和應用數學的研究及說明性論文。主要結果集中在楊問題及Globevnik提出的解法；基於代數的系統發育重建；針對局部和非局部薛丁格方程的Calderon問題；正交多項式理論中的一些未解問題；Quillen的有理同倫理論；Ulrich束及其應用；以及巴拿赫空間理論中的自由對象。這些領域的研究人員是潛在的讀者。
作者簡介
Henar Herrero is Professor in the Department of Mathematics at the University of Castilla-La Mancha. Her research interests are included in the fields of numerical analysis and fluid dynamics. Her main contributions consist of numerical techniques for preconditioning, stabilization, and computational cost reduction in collocation methods applied to bifurcation thermal convection problems. At the same time, she achieves results of interest in physics, such as pattern formation or turbulence.
María Cruz Navarro is Associated Professor at the Department of Mathematics in the University of Castilla-La Mancha. Her research interest is focused on the modeling and numerical simulation of the dynamics of thermoconvective fluids. Her main contributions are in the study of the formation and evolution of thermal vortices with geophysical applications. She has also achieved results of interest in other fields, such as microwave heating, hyperthermia, or thermal problems with industrial applications.
Hélia Serrano is Associate Professor at the Department of Mathematics at the University of Castilla-La Mancha. Her research focuses on the homogenization of partial differential equations from a variational point of view. Namely, she studied the effective behavior of composite materials governed by the Maxwell equations, coupled with linear and power law constitutive relations. In addition, her research also focuses on the study of mean first-passage time functions motivated by cell migration.
作者簡介(中文翻譯)
Henar Herrero 是卡斯蒂利亞-拉曼查大學數學系的教授。她的研究興趣包括數值分析和流體動力學。她的主要貢獻在於針對應用於分岔熱對流問題的配點法，提出了預處理、穩定化和計算成本降低的數值技術。同時，她在物理學方面也取得了有趣的成果，例如模式形成或湍流。
María Cruz Navarro 是卡斯蒂利亞-拉曼查大學數學系的副教授。她的研究興趣集中在熱對流流體的動力學建模和數值模擬。她的主要貢獻在於研究熱渦的形成和演變，並具有地球物理應用。她在其他領域也取得了有趣的成果，例如微波加熱、超熱療法或具有工業應用的熱問題。
Hélia Serrano 是卡斯蒂利亞-拉曼查大學數學系的副教授。她的研究專注於從變分的角度對偏微分方程的均質化進行研究。具體來說，她研究了由麥克斯韋方程所支配的複合材料的有效行為，並結合了線性和冪律的本構關係。此外，她的研究還集中在由細胞遷移所驅動的平均首次通過時間函數的研究。
