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