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- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Gran SassoIT502 papers
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6 papers · 2 filters
Asymptotic behavior of dispersive electromagnetic waves in bounded domains
Serge Nicaise, Cristina Pignotti
We analyze the stability of Maxwell equations in bounded domains taking into account electric and magnetization effects. Well-posedness of the model is obtained by means of semigro…
Well-posedness and exponential decay estimates for a Korteweg-de Vries-Burgers equation with time-delay
Vilmos Komornik, Cristina Pignotti
We consider the KdV-Burgers equation and its linear version in presence of a delay feedback. We prove well-posedness of the models and exponential decay estimates under appropriate…
Weak solution of the merged mathematical equations of the polluted atmosphere
D. Donatelli, N. Juhasz
Considered as a geophysical fluid, the polluted atmosphere shares the shallow domain characteristics with other natural large-scale fluids such as seas and oceans. This means that…
Weak solutions obtained by the vortex method for the 2D Euler equations are Lagrangian and conserve the energy
Gennaro Ciampa, Gianluca Crippa, Stefano Spirito
We discuss the Lagrangian property and the conservation of the kinetic energy for solutions of the 2D incompressible Euler equations. Existence of Lagrangian solutions is known whe…
Smooth approximation is not a selection principle for the transport equation with rough vector field
Gennaro Ciampa, Gianluca Crippa, Stefano Spirito
In this paper we analyse the selection problem for weak solutions of the transport equation with rough vector field. We answer in the negative the question whether solutions of the…
Low Mach number limit on thin domains
Matteo Caggio, Donatella Donatelli, Sarka Necasova +1
We consider the compressible Navier-Stokes system describing the motion of a viscous fluid confined to a straight layer . We show that the weak solutio…