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