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