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

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