Nonlinear Partial Differential Equations for Future Applications

Beschreibung

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. 

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.  

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

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Shigeaki Koike

Themen in »Nonlinear Partial Differential Equations for Future Applications«

Stochastic control Dynamic programing principle Navier-Stokes equations Eigen function Obstacle problems Maximal regularity Keller-Segel system Fluid mechanics Gross-Pitaevskii PDEFA 2017

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