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