9 citations · 13 across the 7 of their papers we have counts for
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Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation
Marvin Fritz, Ernesto A. B. F. Lima, Vanja Nikolić +2
We present and analyze new multi-species phase-field mathematical models of tumor growth and ECM invasion. The local and nonlocal mathematical models describe the evolution of volu…
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…
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…