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