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Creators/Authors contains: "Kang, Moon-Jin"

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  1. ; ; (, Advances in Mathematics)
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  2. ; (, Journal of Differential Equations)
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  3. ; ; (, Communications in Mathematical Physics)
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  4. ; (, Inventiones mathematicae)
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  5. ; (, Journal of the European Mathematical Society)
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  6. ; (, Journal of Nonlinear Science)
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  7. ; ; (, Journal de Mathématiques Pures et Appliquées)
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  8. ; ; (, Communications in Mathematical Sciences)
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  9. ; ; ; (, Mathematical Models and Methods in Applied Sciences)
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    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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  10. ; ; (, Journal of Differential Equations)
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