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Creators/Authors contains: "Young, Sam"

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  1. ; ; ; (, Mathematical Models and Methods in Applied Sciences)
    null (Ed.)
    We consider a hyperbolic–parabolic system arising from a chemotaxis model in tumor angiogenesis, which is described by a Keller–Segel equation with singular sensitivity. It is known to allow viscous shocks (so-called traveling waves). We introduce a relative entropy of the system, which can capture how close a solution at a given time is to a given shock wave in almost [Formula: see text]-sense. When the shock strength is small enough, we show the functional is non-increasing in time for any large initial perturbation. The contraction property holds independently of the strength of the diffusion. 
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  2. ; ; ; ; ; ; ; ; ; ; et al (, Proceedings of SPIE)
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  3. ; ; ; ; ; ; ; ; ; ; et al (, Proceedings Volume 10702)
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  4. ; ; ; ; ; ; ; ; ; ; et al (, ArXiv.org)
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