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20172025
most citedA physically based model for the electrical conductivity of water-saturated porous media

67 citations

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6 papers · 1 filter

math.AP2024

On pseudo almost Periodic Solutions of the parabolic-elliptic Keller-Segel systems

Pham Truong Xuan, Nguyen Thi Van, Tran Minh Nguyet +1

In this paper we investigate the existence, uniqueness and exponential stability of pseudo almost periodic (PAP-) mild solutions of the parabolic-elliptic (P-E) Keller-Segel system…

math.AP2023★ 12 cited

Periodic solutions for Boussinesq systems in weak-Morrey spaces

Pham Truong Xuan, Nguyen Thi Van, Tran Van Thuy

We prove the existence and polynomial stability of periodic mild solutions for Boussinesq systems in critical weak-Morrey spaces for dimension . Those systems are deri…

math.AP2021★ 21 cited

Asymptotically almost periodic solutions to parabolic equations on the real hyperbolic manifold

Pham Truong Xuan, Nguyen Thi Van, Bui Quoc

In this work we study the existence and the asymptotic behaviour of the asymptotically almost periodic mild solutions of the vectorial parabolic equations on the real hyperbolic ma…

math.AP2021★ 1 cited

Well-posedness and stability for a class of solutions of semi-linear diffusion equations with rough coefficients

Pham Truong Xuan, Le The Sac

In this work we study the existence, uniqueness and polynomial stability of the pseudo almost periodic mild solutions of semi-linear diffusion equations with rough coefficients in…

math.AP2021

On attractor's dimensions of the modified Leray-alpha equation

Pham Truong Xuan, Nguyen Thi Van Anh

The primary objective of this paper is to investigate the modified Leray-alpha equation on the two-dimensional sphere , the square torus and the three-…

math.AP2021★ 15 cited

On asymptotically almost periodic solutions to the Navier-Stokes equations on hyperbolic manifolds

Pham Truong Xuan, Nguyen Thi Van

In this paper we study the forward asymptotically almost periodic (AAP-) mild solutions of Navier-Stokes equations on the real hyperbolic manifold $\mathcal{M}=\mathbb{H}^d(\mathbb…