Nonlinear Problems in the Physical Sciences and Biology

Proceedings of a Battelle Summer Institute, Seattle, July 3 - 28, 1972
Herausgegeben:Stakgold, I.; Joseph, D. D.; Sattinger, D. H.

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 322
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-06251-6
• 1973
• Seitenzahl: 372
• Erscheinungstermin: 19. Juni 1973
• Englisch
• Abmessung: 235mm x 155mm x 21mm
• Gewicht: 586g
• ISBN-13: 9783540062516
• ISBN-10: 3540062513
• Artikelnr.: 23380510

Inhaltsangabe

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.