Stokes equations Finite element method Agent-based models Stability Navier-Stokes equations Differential equations Cancer HWI inequality Diffusion limit Hopf bifurcation Kinetic formulation Traveling waves Cell dynamics Dispersion relationship Data completion Age-structured PDE Hele-Shaw Chronotherapy Product integration method Finite volume scheme Geophysical fluid dynamics Hematopoietic stem cells Entropy method Spectral stability Tresca’s friction law Asymptotic expansion Hamiltonian dynamics Solvability conditions Biot system Finite element Delay differential equations Partial differential equations Navier-Stokes system Apparent diffusion coefficient Flow convexity Dynamical core Alzheimer Kinetic equations Elastodynamics Compressible flows Clot growth Contact Blow-up Linear elasticity Fixed-stress iterative coupling Abbreviated action integral Euler characteristic Multiscale modeling Fracture propagation Homogenization Convergence Prion Viscoelasticity Asymptotic convergence Numerical simulations Bloch-Torrey equation Asymptotic analysis Stochastic partial differential equations Transport equations Contact problem Bergman kernel Hematopoiesis Cross diffusion Circadian clock Harmonic limit Kinetic equation Finite elements Prions Unilateral contact Cauchy problem Entropy Immune response Traveling wave Plasma physics Fredholm integral equation Nitsche's method Shallow water equations Finite volumes Diffusion encoding gradient Energy dissipation Coulomb friction 92C37 Error bounds Mass redistribution method Energy conservation Delay differential-difference system Amplitude equation Diffusion magnetic resonance imaging Cell cycle Elasticity Dynamics Mixed finite elements Cell population dynamics Existence of pulses Blood coagulation Anti-diffusive method History-dependent boundary condition Cellular differentiation Cardiac diffusion imaging Variational inequality