E-Book Content
Contents 10
Ordinary differential equations and dynamical systems (continued)
Robert Ghrist Braids and differential equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1
Anton Gorodetski, Brian Hunt and Vadim Kaloshin* Newton interpolation polynomials, discretization method, and certain prevalent properties in dynamical systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27
Bryna Kra From combinatorics to ergodic theory and back again . . . . . . . . . . . . . . . . . . . . . . .
57
Patrice Le Calvez From Brouwer theory to the study of homeomorphisms of surfaces . . . . . . . . . .
77
Michael Shub All, most, some differentiable dynamical systems . . . . . . . . . . . . . . . . . . . . . . . . . .
99
Anton Zorich Geodesics on flat surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
121
11
Partial differential equations
Stefano Bianchini Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems and relaxation approximation . . . . . . . . . . . . . . . . . . . . . . . . . .
147
Patrick Gérard Nonlinear Schrödinger equations in inhomogeneous media: wellposedness and illposedness of the Cauchy problem . . . . . . . . . . . . . . . . . . . . .
157
François Golse The periodic Lorentz gas in the Boltzmann-Grad limit . . . . . . . . . . . . . . . . . . . . . .
183
Matthew J. Gursky Conformal invariants and nonlinear elliptic equations . . . . . . . . . . . . . . . . . . . . . . .
203
Hitoshi Ishii Asymptotic solutions for large time of Hamilton–Jacobi equations . . . . . . . . . . .
213
Mario Pulvirenti The weak-coupling limit of large