Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Editor
- Yoshikazu Giga(University of Tokyo, Graduate School of Mathematical Sciences)Antonín Novotný(Université de Toulon IMATH)
Abstract
Individual chapters are listed in the "Chapters" tab
Suggested Citation
DOI: 10.1007/978-3-319-13344-7
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Book Chapters
The following chapters of this book are listed in IDEAS- Josef Málek & Vít Průša, 2018. "Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 1, pages 3-72, Springer.
- Mi-Ho Giga & Arkadz Kirshtein & Chun Liu, 2018. "Variational Modeling and Complex Fluids," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 2, pages 73-113, Springer.
- Matthias Hieber & Jürgen Saal, 2018. "The Stokes Equation in the L p -Setting: Well-Posedness and Regularity Properties," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 3, pages 117-206, Springer.
- Sylvie Monniaux & Zhongwei Shen, 2018. "Stokes Problems in Irregular Domains with Various Boundary Conditions," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 4, pages 207-248, Springer.
- Mikhail V. Korobkov & Konstantin Pileckas & Remigio Russo, 2018. "Leray’s Problem on Existence of Steady-State Solutions for the Navier-Stokes Flow," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 5, pages 249-297, Springer.
- Toshiaki Hishida, 2018. "Stationary Navier-Stokes Flow in Exterior Domains and Landau Solutions," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 6, pages 299-339, Springer.
- Giovanni P. Galdi & Jiří Neustupa, 2018. "Steady-State Navier-Stokes Flow Around a Moving Body," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 7, pages 341-417, Springer.
- Reinhard Farwig & Hideo Kozono & Hermann Sohr, 2018. "Stokes Semigroups, Strong, Weak, and Very Weak Solutions for General Domains," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 8, pages 419-459, Springer.
- Hao Jia & Vladimir Šverák & Tai-Peng Tsai, 2018. "Self-Similar Solutions to the Nonstationary Navier-Stokes Equations," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 9, pages 461-507, Springer.
- Giovanni P. Galdi & Mads Kyed, 2018. "Time-Periodic Solutions to the Navier-Stokes Equations," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 10, pages 509-578, Springer.
- Lorenzo Brandolese & Maria E. Schonbek, 2018. "Large Time Behavior of the Navier-Stokes Flow," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 11, pages 579-645, Springer.
- Isabelle Gallagher, 2018. "Critical Function Spaces for the Well-Posedness of the Navier-Stokes Initial Value Problem," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 12, pages 647-685, Springer.
- Thierry Gallay & Yasunori Maekawa, 2018. "Existence and Stability of Viscous Vortices," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 13, pages 687-727, Springer.
- Hisashi Okamoto, 2018. "Models and Special Solutions of the Navier-Stokes Equations," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 14, pages 729-780, Springer.
- Yasunori Maekawa & Anna Mazzucato, 2018. "The Inviscid Limit and Boundary Layers for Navier-Stokes Flows," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 15, pages 781-828, Springer.
- Gregory Seregin & Vladimir Šverák, 2018. "Regularity Criteria for Navier-Stokes Solutions," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 16, pages 829-867, Springer.
- Thomas Yizhao Hou & Pengfei Liu, 2018. "Stable Self-Similar Profiles for Two 1D Models of the 3D Axisymmetric Euler Equations," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 17, pages 869-899, Springer.
- Hugo Beirão da Veiga & Yoshikazu Giga & Zoran Grujić, 2018. "Vorticity Direction and Regularity of Solutions to the Navier-Stokes Equations," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 18, pages 901-932, Springer.
- Jinkai Li & Edriss S. Titi, 2018. "Recent Advances Concerning Certain Class of Geophysical Flows," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 19, pages 933-971, Springer.
- Nader Masmoudi, 2018. "Equations for Polymeric Materials," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 20, pages 973-1005, Springer.
- Jan W. Prüss & Senjo Shimizu, 2018. "Modeling of Two-Phase Flows With and Without Phase Transitions," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 21, pages 1007-1044, Springer.
- Xianpeng Hu & Fang-Hua Lin & Chun Liu, 2018. "Equations for Viscoelastic Fluids," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 22, pages 1045-1073, Springer.
- Matthias Hieber & Jan W. Prüss, 2018. "Modeling and Analysis of the Ericksen-Leslie Equations for Nematic Liquid Crystal Flows," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 23, pages 1075-1134, Springer.
- Vsevolod Alexeevich Solonnikov & Irina Vladimirovna Denisova, 2018. "Classical Well-Posedness of Free Boundary Problems in Viscous Incompressible Fluid Mechanics," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 24, pages 1135-1220, Springer.
- Gieri Simonett & Mathias Wilke, 2018. "Stability of Equilibrium Shapes in Some Free Boundary Problems Involving Fluids," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 25, pages 1221-1265, Springer.
- Helmut Abels & Harald Garcke, 2018. "Weak Solutions and Diffuse Interface Models for IncompressibleTwo-Phase Flows," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 26, pages 1267-1327, Springer.
- Diego Córdoba & Charles Fefferman, 2018. "Water Waves with or Without Surface Tension," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 27, pages 1329-1349, Springer.
- Eduard Feireisl, 2018. "Concepts of Solutions in the Thermodynamics of Compressible Fluids," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 28, pages 1353-1379, Springer.
- Alexander Zlotnik, 2018. "Well-Posedness of the IBVPs for the 1D Viscous Gas Equations," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 43, pages 2421-2493, Springer.
- Yuming Qin, 2018. "Well-Posedness and Asymptotic Behavior for Compressible Flows in One Dimension," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 42, pages 2325-2420, Springer.
- Song Jiang & Qiangchang Ju, 2018. "Symmetric Solutions to the Viscous Gas Equations," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 33, pages 1711-1749, Springer.
- Didier Bresch & Benoît Desjardins, 2018. "Weak Solutions for the Compressible Navier-Stokes Equations with Density Dependent Viscosities," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 30, pages 1547-1599, Springer.
- Misha Perepelitsa, 2018. "Weak Solutions for the Compressible Navier-Stokes Equations in the Intermediate Regularity Class," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 32, pages 1673-1710, Springer.
- Jan Burczak & Yoshihiro Shibata & Wojciech M. Zaja̧czkowski, 2018. "Local and Global Solutions for the Compressible Navier-Stokes Equations Near Equilibria via the Energy Method," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 34, pages 1751-1841, Springer.
- Raphaël Danchin, 2018. "Fourier Analysis Methods for the Compressible Navier-Stokes Equations," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 35, pages 1843-1903, Springer.
- Matthias Kotschote, 2018. "Local and Global Existence of Strong Solutions for the Compressible Navier-Stokes Equations Near Equilibria via the Maximal Regularity," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 36, pages 1905-1946, Springer.
- Irina Vladimirovna Denisova & Vsevolod Alexeevich Solonnikov, 2018. "Local and Global Solvability of Free Boundary Problems for the Compressible Navier-Stokes Equations Near Equilibria," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 37, pages 1947-2035, Springer.
- Yoshihiro Shibata & Yuko Enomoto, 2018. "Global Existence of Classical Solutions and Optimal Decay Rate for Compressible Flows via the Theory of Semigroups," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 39, pages 2085-2181, Springer.
- Yongzhong Sun & Zhifei Zhang, 2018. "Blow-Up Criteria of Strong Solutions and Conditional Regularity of Weak Solutions for the Compressible Navier-Stokes Equations," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 41, pages 2263-2324, Springer.
- Xiangdi Huang & Zhou Ping Xin, 2018. "Finite Time Blow-Up of Regular Solutions for Compressible Flows," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 40, pages 2183-2261, Springer.
- Jing Li & Zhou Ping Xin, 2018. "Global Existence of Regular Solutions with Large Oscillations and Vacuum for Compressible Flows," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 38, pages 2037-2083, Springer.
- Akitaka Matsumura, 2018. "Waves in Compressible Fluids: Viscous Shock, Rarefaction, and Contact Waves," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 44, pages 2495-2548, Springer.
- Song Jiang & Chunhui Zhou, 2018. "Existence of Stationary Weak Solutions for Isentropic and Isothermal Compressible Flows," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 45, pages 2549-2594, Springer.
- PiotrBogusł aw Mucha & Milan Pokorný & Ewelina Zatorska, 2018. "Existence of Stationary Weak Solutions for Compressible Heat Conducting Flows," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 46, pages 2595-2662, Springer.
- Ondřej Kreml & Piotr Bogusł aw Mucha & Milan Pokorný, 2018. "Existence and Uniqueness of Strong Stationary Solutions for Compressible Flows," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 47, pages 2663-2719, Springer.
- Rupert Klein, 2018. "Scale Analysis of Compressible Flows from an Application Perspective," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 50, pages 2827-2868, Springer.
- Ning Jiang & Nader Masmoudi, 2018. "Low Mach Number Limits and Acoustic Waves," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 48, pages 2721-2770, Springer.
- Eduard Feireisl, 2018. "Singular Limits for Models of Compressible, Viscous, Heat Conducting, and/or Rotating Fluids," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 49, pages 2771-2825, Springer.
- Xavier Blanc & Bernard Ducomet, 2018. "Weak and Strong Solutions of Equations of Compressible Magnetohydrodynamics," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 51, pages 2869-2925, Springer.
- Vincent Giovangigli, 2018. "Solutions for Models of Chemically Reacting Compressible Mixtures," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 53, pages 2979-3030, Springer.
- Didier Bresch & Benoît Desjardins & Jean-Michel Ghidaglia & Emmanuel Grenier & Matthieu Hillairet, 2018. "Multi-Fluid Models Including Compressible Fluids," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 52, pages 2927-2978, Springer.
- P. I. Plotnikov & W. Weigant, 2018. "Weak Solutions to 2D and 3D Compressible Navier-Stokes Equations in Critical Cases," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 31, pages 1601-1671, Springer.
- Antonín Novotný & Hana Petzeltová, 2018. "Weak Solutions for the Compressible Navier-Stokes Equations: Existence, Stability, and Longtime Behavior," Springer Books, in: Yoshikazu Giga & Antonín Novotný (ed.), Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, chapter 29, pages 1381-1546, Springer.
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