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