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Flow-induced Oscillations via Hopf Bifurcation in a Fluid-Solid Interaction Problem
Denis Bonheure, Giovanni P. Galdi, Filippo Gazzola
We furnish necessary and sufficient conditions for the occurrence of a Hopf bifurcation in a particularly significant fluid-structure problem, where a Navier-Stokes liquid interact…
Stability of equilibria and bifurcations for a fluid-solid interaction problem
Denis Bonheure, Giovanni P. Galdi, Filippo Gazzola
We study certain significant properties of the equilibrium configurations of a rigid body subject to an undamped elastic restoring force, in the stream of a viscous liquid in an un…
Global Weak Solutions to a Time-Periodic Body-Liquid Interaction Problem
Denis Bonheure, Giovanni P. Galdi
We prove existence of time-periodic weak solutions to the coupled liquid-structure problem constituted by an incompressible Navier-Stokes fluid interacting with a rigid body of fin…
Paths to uniqueness of critical points and applications to partial differential equations
Denis Bonheure, Juraj Földes, Ederson Moreira dos Santos +2
We prove a unified and general criterion for the uniqueness of critical points of a functional in the presence of constraints such as positivity, boundedness, or fixed mass. Our me…
Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems
Denis Bonheure, Ederson Moreira dos Santos, Miguel Ramos +1
In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system with Hénon-type weights \[ -Δu = |x|^β |v|^{q-1}v, \quad -Δv =|x|^α|u|^{p-1}u\q…
Concentration on circles for nonlinear Schrödinger-Poisson systems with unbounded potentials vanishing at infinity
Denis Bonheure, Jonathan Di Cosmo, Carlo Mercuri
The present paper is devoted to weighted Nonlinear Schrödinger- Poisson systems with potentials possibly unbounded and vanishing at infinity. Using a purely variational approach, w…