The weak-strong uniqueness for Maxwell--Stefan systems and some generalized systems is
proved. The corresponding parabolic cross-diffusion equations are considered in a bounded …

Nonlocal cross-diffusion systems on the torus, arising in population dynamics and
neuroscience, are analyzed. The global existence of weak solutions, the weak–strong …

In the present work, we consider the evolution of two fluids separated by a sharp interface in
the presence of surface tension—like, for example, the evolution of oil bubbles in water. Our …

Inorganic scintillating crystals can be modelled as continua with microstructure. For rigid and
isothermal crystals, the evolution of charge carriers becomes in this way described by a …

Proving the uniqueness of solutions to multi-species cross-diffusion systems is a difficult task
in the general case, and there exist very few results in this direction. In this work, we study a …

We establish global-in-time existence results for thermodynamically consistent reaction-
(cross-) diffusion systems coupled to an equation describing heat transfer. Our main interest …

A second-order backward differentiation formula (BDF2) finite-volume discretization for a
nonlinear cross-diffusion system arising in population dynamics is studied. The numerical …

We establish weak–strong uniqueness and stability properties of renormalized solutions to a
class of energy-reaction-diffusion systems. The systems considered are motivated by …

The large-time asymptotics of weak solutions to Maxwell–Stefan diffusion systems for
chemically reacting fluids with different molar masses and reversible reactions are …

Bounded weak solutions to a particular class of degenerate parabolic cross-diffusion
systems are shown to coincide with the unique strong solution determined by the same …