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19952026
Showing 2021 · math.APShow all

5 papers · 2 filters

math.AP2021★ 11 cited

Nonlocal Cahn-Hilliard-Hele-Shaw systems with singular potential and degenerate mobility

Cecilia Cavaterra, Sergio Frigeri, Maurizio Grasselli

We study a Cahn-Hilliard-Hele-Shaw (or Cahn-Hilliard-Darcy) system for an incompressible mixture of two fluids. The relative concentration difference is governed by a convectiv…

math.AP2021★ 10 cited

Eigenvalues of the Laplacian with moving mixed boundary conditions: the case of disappearing Neumann region

Veronica Felli, Benedetta Noris, Roberto Ognibene

We deal with eigenvalue problems for the Laplacian with varying mixed boundary conditions, consisting in homogeneous Neumann conditions on a vanishing portion of the boundary and D…

math.AP2021★ 4 cited

On a nonlinear model in domains with cavities arising from cardiac electrophysiology

E. Beretta, M. C. Cerutti, D. Pierotti

In this paper we deal with the problem of determining perfectly insulating regions (cavities) from boundary measurements in a nonlinear elliptic equation arising from cardiac elect…

math.AP2021★ 6 cited

Computer assisted proof of branches of stationary and periodic solution, and Hopf bifurcations, for dissipative PDEs

Gianni Arioli

We discuss an approach to the computer assisted proof of the existence of branches of stationary and periodic solutions for dissipative PDEs, using the Brussellator system with dif…

math.AP2021★ 9 cited

Optimal decay for a wave-heat system with Coleman-Gurtin thermal law

Filippo Dell'Oro, Lassi Paunonen, David Seifert

We study the long-term behaviour of solutions to a one-dimensional coupled wave-heat system with Coleman-Gurtin thermal law. Our approach is based on the asymptotic theory of …