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- W2001704480 abstract "We consider a system of two hyperbolic equations for p,q and two elliptic equations for $c,sigma$, where p,q are the densities of cells within the tumor $Omega_t$ in proliferating and quiescent states, respectively, c is the concentration of nutrients, and $sigma$ is the pressure. The pressure is a result of the transport of cells which proliferate or die. The motion of the free boundary $partial Omega_t$ is given by the continuity condition, and $sigma$ at the free boundary is proportional to the surface tension. We prove the existence, uniqueness, and regularity of the solution for a small time interval $0leq tleq T$." @default.
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- W2001704480 date "2003-01-01" @default.
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- W2001704480 title "A Free Boundary Problem for an Elliptic-Hyperbolic System: An Application to Tumor Growth" @default.
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- W2001704480 doi "https://doi.org/10.1137/s0036141002418388" @default.
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