1 citations · 1 across the 5 of their papers we have counts for
7 papers
Weak solutions for a singular beam equation
Olena Atlasiuk, Arnaud Heibig, Adrien Petrov
This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem…
Solvability for a drift-diffusion system with Robin boundary conditions
Arnaud Heibig, Adrien Petrov, Christian Reichert
This paper focuses on a drift-diffusion system subjected to boundedly non dissipative Robin boundary conditions. A general existence result with large initial conditions is establi…
Well-posedness of a Debye type system endowed with a full wave equation
Arnaud Heibig
We prove well-posedness for a transport-diffusion problem coupled with a wave equation for the potential. We assume that the initial data are small. A bilinear form in the spirit o…
A generalized Cauchy-Lipschitz theorem in low regularity spaces
Arnaud Heibig
We prove well-posedness for some abstract differential equations of the first order. Our result covers the usual case of Lipschitz composition operators. It also contains the case…
Existence and uniqueness of a density probability solution for the stationary Doi-Edwards equation
Ionel Sorin Ciuperca, Arnaud Heibig
We prove the existence, uniqueness and non negativity of solutions for a nonlinear stationary Doi-Edwards equation. The existence is proved by a perturbation argument. We get the u…
On the Doi-Edwards and K-BKZ rheological models for polymer fluids: an existence result for shear flows
Ionel Sorin Ciuperca, Arnaud Heibig, Liviu Iulian Palade
This paper establishes the existence of smooth solutions for the Doi-Edwards rheological model of viscoelastic polymer fluids in shear flows. The problem turns out to be formally e…