Nonlinear Partial Differential Equations And Applications: Proceedings Of The Conference

Nonlinear Partial Differential Equations And Applications: Proceedings Of The Conference PDF

Author: Boling Guo

Publisher: World Scientific

Published: 1998-10-30

Total Pages: 267

ISBN-13: 9814544264

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Contents: Direct and Inverse Diffraction by Periodic Structures (G Bao)Weak Flow of H-Systems (Y-M Chen)Strongly Compact Attractor for Dissipative Zakharov Equations (B-L Guo et al.)C∞-Solutions of Generalized Porous Medium Equations (M Ôtani & Y Sugiyama)Cauchy Problem for Generalized IMBq Equation (G-W Chen & S-B Wang)Inertial Manifolds for a Nonlocal Kuramoto–Sivashinsky Equation (J-Q Duan et al.)Weak Solutions of the Generalized Magnetic Flow Equations (S-H He & Z-D Dai)The Solution of Hammerstein Integral Equation Without Coercive Conditions (Y-L Shu)Global Behaviour of the Solution of Nonlinear Forest Evolution Equation (D-J Wang)Uniqueness of Generalized Solutions for Semiconductor Equations (J-S Xing & Y Hu)On the Vectorial Hamilton–Jacobi System (B-S Yan)An Integrable Hamiltonian System Associated with cKdV Hierarchy (J-S Zhang et al.)and other papers Readership: Mathematicians. Keywords:Diffraction;Weak Flow;Zakharov Equations;Porous Medium Equations;Cauchy Problem;IMBq Equation;Kuramoto-Sivashinsky Equation;Magnetic Flow Equations;Hammerstein Integral Equation;Nonlinear Forest Evolution Equation;Uniqueness;Generalized Solutions;Semiconductor Equations;Hamilton–Jacobi System;Hamiltonian System;cKdV Hierarchy

Recent Advances in Nonlinear Partial Differential Equations and Applications

Recent Advances in Nonlinear Partial Differential Equations and Applications PDF

Author: Luis López Bonilla

Publisher: American Mathematical Soc.

Published: 2007

Total Pages: 250

ISBN-13: 0821842110

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The articles of this book are written by leading experts in partial differential equations and their applications, who present overviews here of recent advances in this broad area of mathematics. The formation of shocks in fluids, modern numerical computation of turbulence, the breaking of the Einstein equations in a vacuum, the dynamics of defects in crystals, effects due to entropy in hyperbolic conservation laws, the Navier-Stokes and other limits of the Boltzmann equation, occupancy times for Brownian motion in a two dimensional wedge, and new methods of analyzing and solving integrable systems are some of this volume's subjects. The reader will find an exposition of important advances without a lot of technicalities and with an emphasis on the basic ideas of this field.

Nonlinear Partial Differential Equations for Future Applications

Nonlinear Partial Differential Equations for Future Applications PDF

Author: Shigeaki Koike

Publisher: Springer

Published: 2022-04-17

Total Pages: 261

ISBN-13: 9789813348240

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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.

Recent Advances in Nonlinear Partial Differential Equations and Applications

Recent Advances in Nonlinear Partial Differential Equations and Applications PDF

Author:

Publisher: American Mathematical Society(RI)

Published: 2014-05-10

Total Pages: 247

ISBN-13: 9780821892800

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Presents overviews of advances in partial differential equations and their applications. This title covers topics such as the formation of shocks in fluids, modern numerical computation of turbulence, the breaking of the Einstein equations in a vacuum, the dynamics of defects in crystals, and effects due to entropy in hyperbolic conservation laws.