184 citations
- Universitat Politècnica de CatalunyaES76 papers
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15 papers · 1 filter
A continuous model of transportation in the Heisenberg group
Michele Circelli, Albert Clop
We present a minimization problem with a horizontal divergence-type constraint in the Heisenberg group. Our study explores its dual formulation and examines its relationship with t…
Turing universality of the incompressible Euler equations and a conjecture of Moore
Robert Cardona, Eva Miranda, Daniel Peralta-Salas
In this article we construct a compact Riemannian manifold of high dimension on which the time dependent Euler equations are Turing complete. More precisely, the halting of any Tur…
Uniqueness for linear integro-differential equations in the real line and applications
Juan-Carlos Felipe-Navarro
In this work we prove the uniqueness of solutions to the nonlocal linear equation in , where is an elliptic integro-differential operator, in the pr…
Well-posedness for boundary value problems for coagulation-fragmentation equations
Iñigo U. Erneta
We investigate a coagulation-fragmentation equation with boundary data, establishing the well-posedness of the initial value problem when the coagulation kernels are bounded at zer…
Chaotic-like transfers of energy in Hamiltonian PDEs
Filippo Giuliani, Marcel Guardia, Pau Martin +1
We consider the nonlinear cubic Wave, the Hartree and the nonlinear cubic Beam equations on and we prove the existence of different types of solutions which exchange energy b…
Semilinear integro-differential equations, II: one-dimensional and saddle-shaped solutions to the Allen-Cahn equation
Juan-Carlos Felipe-Navarro, Tomás Sanz-Perela
This paper addresses saddle-shaped solutions to the semilinear equation in , where is a linear elliptic integro-differential operator with a r…