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

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