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Nonlinear Partial Differential Equations for Future Applications: Sendai, Japan, July 10–28 and October 2–6, 2017 de Shigeaki Koike

Nonlinear Partial Differential Equations for Future Applications: Sendai, Japan, July 10–28 and October 2–6, 2017: Springer Proceedings in Mathematics & Statistics, cartea 346

Editat de Shigeaki Koike, Hideo Kozono, Takayoshi Ogawa, Shigeru Sakaguchi
en Limba Engleză Paperback – 17 apr 2022
This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan. 
 
The contributions address an abstract maximal regularity with applications to parabolic equations, stability, and bifurcation  for viscous compressible Navier–Stokes equations, new estimates for a compressible Gross–Pitaevskii–Navier–Stokes system, singular limits for the Keller–Segel system in critical spaces, the dynamic programming principle for stochastic optimal control, two kinds of regularity machineries for elliptic obstacle problems,  and new insight on topology of nodal sets of high-energy eigenfunctions of the Laplacian. 
 
This book aims to exhibit various theories and methods that appear in the study of nonlinear partial differential equations. 
 
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Specificații

ISBN-13: 9789813348240
ISBN-10: 9813348240
Ilustrații: VII, 261 p. 1 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.42 kg
Ediția:1st ed. 2021
Editura: Springer Nature Singapore
Colecția Springer
Seria Springer Proceedings in Mathematics & Statistics

Locul publicării:Singapore, Singapore

Cuprins

R. Denk, An Introduction To Maximal Regularity For Parabolic Evolution Equations.- Y. Kagei, On stability and bifurcation in parallel flows of compressible Navier-Stokes equations.- J. Fan and T. Ozawa, Uniform regularity for a compressible Gross-Pitaevskii-Navier-Stokes system.- T. Ogawa, Singular Limit Problem to the Keller-Segel System in Critical Spaces and Related Medical Problems ̶ An Application of Maximal Regularity.- A. Swiech, HJB Equation, Dynamic Programming Principle, and Stochastic Optimal Control.- S. Koike, Regularity of solutions of obstacle problems – old & new.- A. Enciso, D. Peralta-Salas and F. Torres De Lizaur, High-Energy Eigenfunctions of the Laplacian on the Torus and The Sphere with Nodal Sets of Complicated Topology.

Textul de pe ultima copertă

This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan. 
 
The contributions address an abstract maximal regularity with applications to parabolic equations, stability, and bifurcation  for viscous compressible Navier–Stokes equations, new estimates for a compressible Gross–Pitaevskii–Navier–Stokes system, singular limits for the Keller–Segel system in critical spaces, the dynamic programming principle for stochastic optimal control, two kinds of regularity machineries for elliptic obstacle problems,  and new insight on topology of nodal sets of high-energy eigenfunctions of the Laplacian. 
 
This book aims to exhibit various theories and methods that appear in the study of nonlinear partial differential equations. 

Caracteristici

Focuses on nonlinear PDEs in fluid mechanics, optimal control, and biochemical problems Includes contributions on maximal regularity and geometric analysis by internationally respected experts Combines recent topics and survey results in a volume appropriate for both experienced and young researchers