4 papers · 1 filter
Leak localisation with a measure source convection-diffusion model
Thi Tam Dang, Tuomo Valkonen
We study the inverse problem of locating gas leaks from line-of-sight concentration measurements using a convection-diffusion model with the source term a Radon measure. By imposin…
Well-posedness of nonlinear parabolic equations with unbounded drift via nonlinear evolution theory
Thi Tam Dang, Trung Hau Hoang, Giandomenico Orlandi +1
We develop a nonlinear evolution framework for nonlinear parabolic equations with unbounded drift terms formulated in Lorentz spaces. The main contribution lies in the construction…
Existence for noncoercive nonlinear elliptic equations with two lower-order terms
Thi Tam Dang, Trung Hau Hoang
This paper considers a class of noncoercive nonlinear elliptic problems with coefficients defined in Marcinkiewicz and Lorentz spaces. We prove the existence of a solution for the…
Existence and uniqueness for renormalized solutions to a general noncoercive nonlinear parabolic equation
T. T. Dang, G. Orlandi
This paper introduces the concept of renormalized solution for a general class of non-coercive nonlinear parabolic problems, including both singularities and unbounded lower order…