Nonlinear Partial Differential Equations for Future Applications, 1st ed. 2021
Sendai, Japan, July 10–28 and October 2–6, 2017
Springer Proceedings in Mathematics & Statistics Series, Vol. 346

Coordinators: Koike Shigeaki, Kozono Hideo, Ogawa Takayoshi, Sakaguchi Shigeru

Language: English

147.69 €

In Print (Delivery period: 15 days).

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Nonlinear Partial Differential Equations for Future Applications
Publication date:
261 p. · 15.5x23.5 cm · Paperback

147.69 €

In Print (Delivery period: 15 days).

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Nonlinear Partial Differential Equations for Future Applications
Publication date:
Support: Print on demand
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. 
 
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.

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