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