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math.AP2018
On the unsteady Darcy-Forchheimer-Brinkman equation in local and nonlocal tumor growth models
Marvin Fritz, Ernesto A. B. F. Lima, J. Tinsley Oden +1
A mathematical analysis of local and nonlocal phase-field models of tumor growth is presented that includes time-dependent Darcy-Forchheimer-Brinkman models of convective velocity…
math.AP2018
Well-posedness and numerical treatment of the Blackstock equation in nonlinear acoustics
Marvin Fritz, Vanja Nikolić, Barbara Wohlmuth
We study the Blackstock equation which models the propagation of nonlinear sound waves through dissipative fluids. Global well-posedness of the model with homogeneous Dirichlet bou…