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