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Euler-flocking system with nonlocal dissipation in 1D: periodic entropy solutions
D. Amadori, F. A. Chiarello, C. Christoforou
We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in a periodic domain in one-space dimension with linear pressure term. The main result is the g…
Unconditional flocking for weak solutions to self-organized systems of Euler-type with all-to-all interaction kernel
Debora Amadori, Cleopatra Christoforou
We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in one-space dimension and establish that the global entropy weak solutions, constructed in [2]…
Corrugated Versus Smooth Uniqueness and Stability of Negatively Curved Isometric Immersions
Cleopatra Christoforou
We prove uniqueness of smooth isometric immersions within the class of negatively curved corrugated two-dimensional immersions embedded into . The main tool we use is…
A uniqueness criterion for viscous limits of boundary Riemann problems
Cleopatra Christoforou, Laura V. Spinolo
We deal with initial-boundary value problems for systems of conservation laws in one space dimension and we focus on the boundary Riemann problem. It is known that, in general, dif…