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The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations
  • Language: en
  • Pages: 235

The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations

The aim of this book is to provide beginning graduate students who completed the first two semesters of graduate-level analysis and PDE courses with a first exposure to the mathematical analysis of the incompressible Euler and Navier-Stokes equations. The book gives a concise introduction to the fundamental results in the well-posedness theory of these PDEs, leaving aside some of the technical challenges presented by bounded domains or by intricate functional spaces. Chapters 1 and 2 cover the fundamentals of the Euler theory: derivation, Eulerian and Lagrangian perspectives, vorticity, special solutions, existence theory for smooth solutions, and blowup criteria. Chapters 3, 4, and 5 cover ...

Data Science
  • Language: en
  • Pages: 668

Data Science

This two volume set (CCIS 1257 and 1258) constitutes the refereed proceedings of the 6th International Conference of Pioneering Computer Scientists, Engineers and Educators, ICPCSEE 2020 held in Taiyuan, China, in September 2020. The 98 papers presented in these two volumes were carefully reviewed and selected from 392 submissions. The papers are organized in topical sections: database, machine learning, network, graphic images, system, natural language processing, security, algorithm, application, and education.

Computer Vision – ECCV 2020
  • Language: en
  • Pages: 826

Computer Vision – ECCV 2020

The 30-volume set, comprising the LNCS books 12346 until 12375, constitutes the refereed proceedings of the 16th European Conference on Computer Vision, ECCV 2020, which was planned to be held in Glasgow, UK, during August 23-28, 2020. The conference was held virtually due to the COVID-19 pandemic. The 1360 revised papers presented in these proceedings were carefully reviewed and selected from a total of 5025 submissions. The papers deal with topics such as computer vision; machine learning; deep neural networks; reinforcement learning; object recognition; image classification; image processing; object detection; semantic segmentation; human pose estimation; 3d reconstruction; stereo vision; computational photography; neural networks; image coding; image reconstruction; object recognition; motion estimation.

Bilinear Estimates in the Presence of a Large Potential and a Critical NLS in 3D
  • Language: en
  • Pages: 120

Bilinear Estimates in the Presence of a Large Potential and a Critical NLS in 3D

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Cubical Models of $(infty ,1)$-Categories
  • Language: en
  • Pages: 122

Cubical Models of $(infty ,1)$-Categories

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Unipotent Representations, Theta Correspondences, and Quantum Induction
  • Language: en
  • Pages: 104

Unipotent Representations, Theta Correspondences, and Quantum Induction

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Reflexive Modules on Normal Gorenstein Stein Surfaces, Their Deformations and Moduli
  • Language: en
  • Pages: 110
On Refined Conjectures of Birch and Swinnerton-Dyer Type for Hasse–Weil–Artin $L$-Series
  • Language: en
  • Pages: 168
Normed Amenability and Bounded Cohomology over Non-Archimedean Fields
  • Language: en
  • Pages: 116

Normed Amenability and Bounded Cohomology over Non-Archimedean Fields

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Homotopy in Exact Categories
  • Language: en
  • Pages: 172

Homotopy in Exact Categories

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