Nonlinear Dispersive Waves on Trees
نویسندگان
چکیده
We investigate the well-posedness of a class of nonlinear dispersive waves on trees, in connection with the mathematical modeling of the human cardiovascular system. Specifically, we study the Benjamin-Bona-Mahony (BBM) equation, also known as the regularized long wave equation, posed on finite trees, together with standard junction and terminal boundary conditions. We prove that the Cauchy problem for the BBM equation is well-posed in an appropriate space on arbitrary finite trees.
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