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Titlebook: Nonlinear Partial Differential Equations for Future Applications; Sendai, Japan, July Shigeaki Koike,Hideo Kozono,Shigeru Sakaguchi Confer

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On Stability and Bifurcation in Parallel Flows of Compressible Navier-Stokes Equations,onsidered for small Reynolds and Mach numbers. An instability result of the plane Poiseuille flow is then given for a certain range of Reynolds and Mach numbers, together with a result of the bifurcation of wave trains from the plane Poiseuille flow.
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High-Energy Eigenfunctions of the Laplacian on the Torus and the Sphere with Nodal Sets of Complicaned in a contractible subset of .. We show that for any sufficiently large enough odd integer . there exists an eigenfunctions . of the Laplacian on . or . satisfying . (with . or . on . or ., respectively), and with a connected component of the nodal set of . given by ., up to an ambient diffeomorphism.
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HJB Equation, Dynamic Programming Principle, and Stochastic Optimal Control,l control problems. The manuscript discusses, among other things, the classical necessary and sufficient conditions for optimality, properties of the value function, and it contains a proof of the dynamic programming principle, and a proof that the value function is a unique viscosity solution of the associated Hamilton-Jacobi-Bellman equation.
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Conference proceedings 2021 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–Pitaev
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2194-1009 metric analysis by internationally respected experts.CombineThis 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 contribu
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