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1.

電子ブック

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by Tujin Kim, Daomin Cao
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Advances in Mathematical Fluid Mechanics ;
オンライン: https://doi.org/10.1007/978-3-030-78659-5
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Miscellanea of Analysis
Fluid Equations
The Steady Navier-Stokes System
The Non-steady Navier-Stokes System
The Steady Navier-Stokes System with Friction Boundary Conditions
The Non-steady Navier-Stokes System with Friction Boundary Conditions
The Steady Boussinesq System
The Non-steady Boussinesq System
The Steady Equations for Heat-conducting Fluids
The Non-steady Equations for Heat-conducting Fluids
Miscellanea of Analysis
Fluid Equations
The Steady Navier-Stokes System
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電子ブック

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by I. V. Denisova, V. A. Solonnikov
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Lecture Notes in Mathematical Fluid Mechanics ;
オンライン: https://doi.org/10.1007/978-3-030-70053-9
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Introduction
A Model Problem with Plane Interface and with Positive Surface Tension Coefficient
The Model Problem Without Surface Tension Forces
A Linear Problem with Closed Interface Under Nonnegative Surface Tension
Local Solvability of the Problem in Weighted Hölder Spaces
Global Solvability in the Hölder Spaces for the Nonlinear Problem without Surface Tension
Global Solvability of the Problem Including Capillary Forces. Case of the Hölder Spaces
Thermocapillary Convection Problem
Motion of Two Fluids in the Oberbeck - Boussinesq Approximation
Local L2-solvability of the Problem with Nonnegative Coefficient of Surface Tension
Global L2-solvability of the Problem without Surface Tension
L2-Theory for Two-Phase Capillary Fluid
Introduction
A Model Problem with Plane Interface and with Positive Surface Tension Coefficient
The Model Problem Without Surface Tension Forces
3.

電子ブック

EB
by Christophe Cheverry, Nicolas Raymond
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Birkhäuser Advanced Texts Basler Lehrbücher ;
オンライン: https://doi.org/10.1007/978-3-030-67462-5
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Foreword
Prolegomena
Chapter 1: A First Look at Spectral Theory
Chapter 2: Unbounded Operators
Chapter 3: Spectrum
Chapter 4: Compact Operators
Chapter 5: Fredholm Theory
Chapter 6:Spectrum of Self-Adjoint Operators
Chapter 7: Hille-Yosida and Stone’s Theorems
Chapter 8: About the Spectral Measure
Chapter 9: Trace-class and Hilbert-Schmidt Operators
Chapter 10: Selected Applications of the Functional Calculus
Appendix A: Reminders of Functional Analysis
Bibliography
Index
Foreword
Prolegomena
Chapter 1: A First Look at Spectral Theory
4.

電子ブック

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by Iwona Chlebicka, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Aneta Wróblewska-Kamińska
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-88856-5
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Part I Overture: 1. Introduction
2. N-Functions
3. Musielak–Orlicz Spaces
Part II PDEs: 4. Weak Solutions
5. Renormalized Solutions
6. Homogenization of Elliptic Boundary Value Problems
7. Non-Newtonian Fluids
Part III Auxiliaries: 8. Basics
9. Functional Inequalities
References
List of Symbols
Index
Part I Overture: 1. Introduction
2. N-Functions
3. Musielak–Orlicz Spaces
5.

電子ブック

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by Alexandre Ern, Jean-Luc Guermond
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Texts in Applied Mathematics ; 72
オンライン: https://doi.org/10.1007/978-3-030-56341-7
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Part I: Elements of Functional Analysis
Lebesgue spaces
Weak derivatives and Sobolev spaces
Traces and Poincaré Inequalities
Duality in Sobolev spaces
Part II: Introduction to Finite Elements
Main ideas and definitions
One-dimensional finite elements and tensorization
Simplicial finite elements
Part III: Finite element interpolation
Meshes
Finite element generation
Mesh orientation
Local interpolation on affine meshes
Local inverse and functional inequalities
Local interpolation on non-affine meshes
H(div) finite elements
H(curl) finite elements
Local interpolation in H(div) and H(curl) (I)
Local interpolation in H(div) and H(curl) (II)
Part IV: Finite element spaces
From broken to conforming spaces
Main properties of the conforming spaces
Face gluing
Construction of the connectivity classes
Quasi-interpolation and best approximation
Commuting quasi-interpolation
Appendices
Banach and Hillbert spaces
Differential calculus
Part I: Elements of Functional Analysis
Lebesgue spaces
Weak derivatives and Sobolev spaces
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電子ブック

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by Noè Angelo Caruso, Alessandro Michelangeli
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Springer Monographs in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-88159-7
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Introduction and motivation
Krylov solvability of bounded linear inverse problems
An analysis of conjugate-gradient based methods with unbounded operators
Krylov solvability of unbounded inverse problems
Krylov solvability in a perturbative framework
Outlook on general projection methods and weaker convergence
References
Index
Introduction and motivation
Krylov solvability of bounded linear inverse problems
An analysis of conjugate-gradient based methods with unbounded operators
7.

電子ブック

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by Atsushi Yagi
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: https://doi.org/10.1007/978-981-16-1896-3
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目次情報:
1.Preliminary
2.Asymptotic Convergence
3.Extended Łojasiewicz–Simon Gradient Inequality
1.Preliminary
2.Asymptotic Convergence
3.Extended Łojasiewicz–Simon Gradient Inequality
8.

電子ブック

EB
by Toshio Mikami
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2021
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: https://doi.org/10.1007/978-981-16-1754-6
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目次情報:
Chapter 1. Introduction
Chapter 2. Stochastic optimal transportation problem
Chapter 3. Marginal problem
Chapter 1. Introduction
Chapter 2. Stochastic optimal transportation problem
Chapter 3. Marginal problem
9.

電子ブック

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by Tuncay Aktosun, Ricardo Weder
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Applied Mathematical Sciences ; 203
オンライン: https://doi.org/10.1007/978-3-030-38431-9
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The matrix Schrödinger equation and the characterization of the scattering data
Direct scattering I
Direct scattering II
Inverse scattering
Some explicit examples
Mathematical preliminaries
The matrix Schrödinger equation and the characterization of the scattering data
Direct scattering I
Direct scattering II
10.

電子ブック

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edited by Anatoly G. Kusraev, Zhanna D. Totieva
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2021
シリーズ名: Trends in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-49763-7
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Extinction In a Finite Time for Parabolic Equations of Fast Diffusion Type on Manifolds
Inverse Problems In The Multidimensional Hyperbolic Equation With Rapidly Oscillating Absolute Term
On The Brezis-Lieb Lemma and Its Extensions
On the Commutant of the Generalized Backward Shift Operator in Weighted Spaces of Entire Functions
The Conditions of Global Boundedness for the Solutions of Continuous Social Stratification Model
Stochastic Test of a Minimal Surface
On Isomorphism of Some Functional Spaces under Action of Two Dimensional Singular Integral Operators
On One Class of Solutions of The Darboux System
Boolean Valued Analysis: Background And Results
Approximation Properties of Vallee Poussin Means For Special Series of Ultraspherical Jacobi
Laplace’s Integrals And Stability of The Open Flows of in Viscid Incompressible Fluid
Spectral Properties of Killing Vector Fields of Constant Length And Bounded Killing Vector Fields
The Radon-Nikodym Theorem for Disjointness ´Preserving Orthogonally Additive Operators
On Continuous Linear Right Inverse To Convolution Operator
Long Wavelength Asymptotics of Self-Oscillations of Viscous Incompressible Fluid
The convergence of the Fourier – Jacobi series in weighted variable exponent Lebesgue spaces
Hyperbolic B-potentials: Properties and Inversion
Some Properties of Sobolev Orthogonal Polynomials Associated with Chebyshev Polynomials of the Second Kind
Structure of Essential Spectrum and Discrete Spectra of The Energy Operator of Five-Electron Systems In The Hubbard Model. Doublet States
On Coefficient Inverse Problems of Heat Conduction for Functionally Graded Materials
Investigation Of Waves Processes In Inhomogeneous Cylindrical Waveguides
Solution Of Some Class First-Order Quasilinear Partial Differential Equations
Extinction In a Finite Time for Parabolic Equations of Fast Diffusion Type on Manifolds
Inverse Problems In The Multidimensional Hyperbolic Equation With Rapidly Oscillating Absolute Term
On The Brezis-Lieb Lemma and Its Extensions