Nonlinear Problems in the Physical Sciences and Biology

Proceedings of a Battelle Summer Institute, Seattle, July 3 - 28, 1972

Lyapunov methods and equations of parabolic type.
Multiple solutions of nonlinear partial differential equations.
Fading memory and functional-differential equations.
Singular perturbation by a quasilinear operator.
Remarks on branching from multiple eigenvalues.
Asymptotic analysis of a class of nonlinear integral equations.
Remarks about bifurcation and stability of quasi-periodic solutions which bifurcate from periodic solutions of the Navier Stokes equations.
Bifurcation of periodic solutions into invariant tori: The work of Ruelle and Takens.
Ergodic theory and statistical mechanics of non-equilibrium processes.
Mathematical problems in theoretical biology.
On predator-prey equations simulating an immune response.
Bifurcation theory for gradient systems.
Six lectures on the transition to instability.
Groundwater flow as a singular perturbation problem and remarks about numerical methods.
Nonlinear problems in nuclear reactor analysis.
Some non-linear problems in statistical mechanics and biology.
Stability properties and periodic behavior of controlled biochemical systems.