معادلات دیفرانسیل جزئی غیرخطی: کنفرانس بین‌المللی درباره معادلات دیفرانسیل جزئی غیرخطی و کاربردها

This volume is a collection of original research papers and expository articles stemming from the scientific program of the Nonlinear PDE Emphasis Year held at Northwestern University (Evanston, IL) in March 1998. The book offers a cross-section of the most significant recent advances and current trends and directions in nonlinear partial differential equations and related topics. The book's contributions offer two perspectives. There are papers on general analytical treatment of the theory and papers on computational methods and applications originating from significant realistic mathematical models of natural phenomena. Also included are articles that bridge the gap between these two perspectives, seeking synergistic links between theory and modeling and computation. The volume offers direct insight into recent trends in PDEs. This volume is also available on the Web. This Volume Is A Collection Of Original Research Papers And Expository Articles Stemming From The Scientific Program Of The Nonlinear Pde Emphasis Year Held At Northwestern University (evanston, Il) In March 1998. The Book Offers A Cross-section Of The Most Significant Recent Advances And Current Trends And Directions In Nonlinear Partial Differential Equations And Related Topics.--book Jacket. Nonclassical Shocks And The Cauchy Problem: General Conservation Laws / Paolo Baiti, Philippe G. Lefloch And Benedetto Piccoli -- The Harnack Inequality And Non-divergence Equations / Luis A. Caffarelli -- Vanishing Viscosity Limit For Initial-boundary Value Problems For Conservation Laws / Gui-qiang Chen And Hermano Frid -- On The Prediction Of Large-scale Dynamics Using Unresolved Computations / Alexandre J. Chorin, Anton P. Kast And Raz Kupferman -- Variational Bounds In Turbulent Convection / Peter Constantin -- On The Solvability Of Implicit Nonlinear Systems In The Vectorial Case / Bernard Dacorogna And Paolo Marcellini -- Genuinely Nonlinear Hyperbolic Systems Of Two Conservation Laws / Constantine M. Dafermos -- Milne Problem For Strong Force Scaling / Irene M. Gamba -- Simple Front Tracking / James Glimm, John W. Grove And X. L. Li / [et Al.] -- Formation Of Singularities In Relativistic Fluid Dynamics And In Spherically Symmetric Plasma Dynamics / Yan Guo And A. Shadi Tahvildar-zadeh -- Asymptotic Stability Of Plane Diffusion Waves For The 2-d Quasilinear Wave Equation / Corrado Lattanzio And Pierangelo Marcati -- L[subscript 1] Stability For Systems Of Hyperbolic Conservation Laws / Tai-ping Liu And Tong Yang -- The Geometry Of The Stream Lines Of Steady States Of The Navier-stokes Equations / Tian Ma And Shouhong Wang -- On Complex-valued Solutions To A 2-d Eikonal Equation, Part One: Qualitative Properties / Rolando Magnanini And Giorgio Talenti -- On Diffusion-induced Grain-boundary Motion / Uwe F. Mayer And Gieri Simonett -- Local Estimates For Solutions To Singular And Degenerate Quasilinear Parabolic Equations / Mike O'leary -- The Geometry Of Wulff Crystal Shapes And Its Relations With Riemann Problems / Danping Peng, Stanley Osher And Barry Merriman / [et Al.]. Gui-qiang Chen, Emmanuele Dibenedetto, Editors. Includes Bibliographical References.