21 citations · 88 across the 16 of their papers we have counts for
17 papers
On a nonhomogeneous heat equation on the complex plane
Duong Ngoc Son, Tran Van Thuy, Pham Truong Xuan
In this article, we investigate the existence, uniqueness, and asymptotic behaviors of mild solutions of a parabolic evolution equations on complex plane, in which the diffusion op…
On Asymptotically Almost Periodic Solutions of the parabolic-elliptic Keller-Segel system on real hyperbolic Manifolds
Pham Truong Xuan, Tran Van Thuy, Nguyen Thi Van
In this article we investigate the existence, uniqueness and exponential decay of asymptotically almost periodic solutions of the parabolic-elliptic Keller-Segel system on a real h…
Stability of solutions of stationary Boussinesq systems on weak-Morrey spaces
Pham Truong Xuan, Tran Thi Ngoc
In this paper we establish the asymptotic stability of steady solutions for the Boussinesq systems in the framework of Cartesian product of critical weak-Morrey spaces on $\mathbb{…
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…
On asymptotically almost periodic mild solutions for Navier-Stokes equations on non-compact Riemannian manifolds
Pham Truong Xuan, Nguyen Thi Van
In this paper, we study the existence, uniqueness and asymptotic behaviour of almost periodic and asymptotically almost periodic mild solutions to the incompressible Navier-Stokes…
Periodic Solutions of the parabolic-elliptic Keller-Segel system on whole spaces
Pham Truong Xuan, Tran Van Thuy, Nguyen Thi Van Anh +1
In this paper, we investigate to the existence and uniqueness of periodic solutions for the parabolic-elliptic Keller-Segel system on whole spaces detailized by Euclidean space $\m…
Well-posedness and scattering for wave equations on hyperbolic spaces with singular data
Lucas C. F. Ferreira, Pham Truong Xuan
We consider the wave and Klein-Gordon equations on the real hyperbolic space () in a framework based on weak- spaces. First, we establish dispersiv…
Well-posedness and exponential stability for Boussinesq systems on real hyperbolic Manifolds and application
Pham Truong Xuan, Tran Thi Ngoc
We investigate the global existence and exponential decay of mild solutions for the Boussinesq systems in -phase spaces on the framework of real hyperbolic manifold $\mathbb{H…
Generalized gravitational fields and well-posedness of the Boussinesq systems on non-compact Riemannian Manifolds
Pham Truong Xuan, Tran Thi Ngoc
We study the global existence, uniqueness and exponential stability of mild solutions to the Boussinesq systems equipped with a generalized gravitational field on the framework of…
Peeling for tensorial wave equations on Schwarzschild spacetime
Pham Truong Xuan
In this paper, we establish the asymptotic behaviour along outgoing and incoming radial geodesics, i.e., the peeling property for the tensorial Fackrell-Ipser and spin Teuk…
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…
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…
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-…
Peeling of Dirac fields on Kerr spacetimes
Pham Truong Xuan
In a recent paper with J.-P. Nicolas [J.-P. Nicolas and P.T. Xuan, Annales Henri Poincare 2019], we studied the peeling for scalar fields on Kerr metrics. The present work extends…
Cauchy and Goursat problems for the generalized spin zero rest-mass fields on Minkowski spacetime
Pham Truong Xuan
In this paper, we study the Cauchy and Goursat problems of the spin- zero rest-mass equations on Minkowski spacetime by using the conformal geometric method. In our strategy,…
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…
The simplified Bardina equations on two-dimensional closed manifolds
Pham Truong Xuan
In this paper we study the viscous simplified Bardina equation on the two-dimensional closed manifold which is embedded in . First, we prove the existence and the…