36 citations · 148 across the 18 of their papers we have counts for
22 papers
Superdiffusive fractional dynamics: Unveiling regularity results in systems with general positive self-adjoint operators
Edgardo Alvarez, Ciprian G. Gal, Valentin Keyantuo +1
We investigate the following fractional order in time Cauchy problem \begin{equation*} \begin{cases} \mathbb{D}_{t}^{α}u(t)+Au(t)=f(u(t)), & 1<α<2, \\ u(0)=u_{0},\,\,\,u^{\prime }(…
Global well-posedness and convergence to equilibrium for the Abels-Garcke-Grün model with nonlocal free energy
Ciprian G. Gal, Andrea Giorgini, Maurizio Grasselli +1
We investigate the nonlocal version of the Abels-Garcke-Grün (AGG) system, which describes the motion of a mixture of two viscous incompressible fluids. This consists of the incomp…
A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs
Harbir Antil, Ciprian G. Gal, Mahamadi Warma
We consider optimal control of fractional in time (subdiffusive, i.e., for ) semilinear parabolic PDEs associated with various notions of diffusion operators in an unifyin…
Well-posedness results for a class of semi-linear super-diffusive equations
Edgardo Alvarez, Ciprian Gal, Valentin Keyantuo +1
In this paper we investigate the following fractional order in time Cauchy problem \begin{equation*} \begin{cases} \mathbb{D}_{t}^{α}u(t)+Au(t)=f(u(t)), & 1<α<2, u(0)=u_{0},\,\,\,u…
Transmission problems with nonlocal boundary conditions and rough dynamic interfaces
Ciprian G. Gal, Mahamadi Warma
We consider a transmission problem consisting of a semilinear parabolic equation in a general non-smooth setting with emphasis on rough interfaces which bear a fractal-like geometr…
On some degenerate non-local parabolic equation associated with the fractional -Laplacian
Ciprian G. Gal, Mahamadi Warma
We consider a degenerate parabolic equation associated with the fractional -Laplace operator \ (, ) and a monoton…