Analysis & its Applications

The history of the relations between Physics and Mathematics is a long and romantic story. The "old" Classical Physics gave linear partial differential equations to Mathematics. All their three basic classes - elliptic (Laplace equation), parabolic (heat equation), and hyperbolic (wave equation) - were born in the Classical Physics of the eighteenth century. The "new" Classical Physics opened for mathematicians the magic world of nonlinear partial differential equations, two of its most valuable presents - solitons and fractal sets - appearing in the theory of turbulence. It is natural to add to this list the discovery of nonlinear integrable Hamiltonian systems with an infinite number of degrees of freedom. (From "How Classical Physics Helps Mathematics", by V. Zakharov).

Conferences and Thematic Programs