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