Titlebook: Applied and Industrial Mathematics, Venice—2, 1998; Selected Papers from Renato Spigler Book 2000 Springer Science+Business Media Dordrecht

coddle

Asymptotic Properties of Reaction-Diffusion Systems Modeling ChemotaxisWe discuss in the sequel on the aggregation properties of some systems of nonlinear parabolic equations which have been extensively used as models for chemotaxis. In particular, several blow-up mechanisms are described, and the corresponding singularity patterns are discussed.

BILK

Shallow Water & the Diffeomorphism GroupThe work presented here was performed at the Courant Institute of Mathematical Sciences with the partial support of the National Science Foundation under NSF Grant No. DMS-9112664, which is gratefully acknowledged.

Vulnerary

Pile-Up Solutions for a Mixed System of Conservation Laws Modelling Dislocation Interaction in CrystA continuum model for dislocation interaction in a simple crystal geometry is proposed. Our model accounts for the formation of structures such as dislocation pile-ups. Pattern formation is this model is related to the loss of strict hyperbolicity in the system and the appearance of instabilities.

裂縫

玉米

History of Mechanism and Machine Sciencealized thermal softening of the metal occurs which enhances plastic flow in a thin zone. This localization of plastic strain into an adiabatic shear band during rapid plastic shear shares some interesting similarities with combustion ignition problems for chemically reactive systems.

agitate

From Regularities to Proportionalities how this integral has come to be involved in a rather bewildering variety of mathematical and physical theories, including the theory of random matrices, the theory of CalogeroSutherland models, the Fractional Quantum Hall effect, the topology of the moduli space of algebraic curves and certain ideas in number theory.

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