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Stability of Wave Patterns in Systems of Conservation Laws

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Speaker: Marta Lewicka, University of Chicago
Location: 693 Kerr
Start time: Wed, Jan 12 2005, 11:00AM

Some fundamental laws of physics are stated as "conservation of a quantity X". In one space dimension, a general conservation law can be formulated as the system of partial differential equations u_t + f(u)_x =0. In this talk, I will present an overview of the existence and stability theory of conservation laws, particularly focusing on my work about stability of large waves.