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