On a nonlinear model for tumor growth in a cellular medium
DOI10.1007/s10884-015-9492-4zbMath1391.35312OpenAlexW1742940257MaRDI QIDQ1679043
Konstantina Trivisa, Donatella Donatelli
Publication date: 8 November 2017
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-015-9492-4
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Cell biology (92C37) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
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Cites Work
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- On the dynamics of a fluid-particle interaction model: the bubbling regime
- Convergence of a Brinkman-type penalization for compressible fluid flows
- Continuation techniques for a penalty approximation of the Navier-Stokes equations
- Penalty finite element method for the Navier-Stokes equations
- Penalty approximation of Stokes flow
- A hierarchy of cancer models and their mathematical challenges
- Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains
- Level set methods and dynamic implicit surfaces
- A two-phase free boundary problem with discontinuous velocity: Application to tumor model
- Hypoxia inducible factors-mediated inhibition of cancer by GM-CSF: a mathematical model
- Monotone iterative technique for first-order nonlinear periodic boundary value problems on time scales
- On a nonlinear model for tumor growth: global in time weak solutions
- A viscoelastic model for avascular tumor growth
- On the motion of a viscous compressible radiative-reacting gas
- Local behavior of solutions of quasilinear parabolic equations
- The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the cellular Potts model
- Mathematical Models of Avascular Tumor Growth
- On a nonlinear model for tumour growth with drug application
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