4 papers
The body force in a three-dimensional Lame' system: identification and regularization
Dang Duc Trong, Phan Thanh Nam, Phung Trong Thuc
Let a three-dimensional isotropic elastic body be described by the Lamé system with the body force of the form , where is known. We consider the problem of det…
New bounds on the maximum ionization of atoms
Phan Thành Nam
We prove that the maximum number of non-relativistic electrons that a nucleus of charge can bind is less than . This improves Lieb's upper bound $N_c<2Z+1…
Determine the spacial term of a two-dimensional heat source
Dang Duc Trong, Alain Pham Ngoc Dinh, Phan Thanh Nam
We consider the problem of determining a pair of functions satisfying the heat equation , where and the function is…
Ice formation in the Arctic during summer: false-bottoms
Phan Thanh Nam, Alain Pham Ngoc Dinh, Pham Hoang Quan +1
The only source of ice formation in the Arctic during summer is a layer of ice called false-bottoms between an under-ice melt pond and the underlying ocean. Of interest is to give…