36 citations · 83 across the 26 of their papers we have counts for
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Energy equalities for compressible Navier-Stokes equations
Quoc-Hung Nguyen, Phuoc-Tai Nguyen, Quoc Bao Tang
The energy equalities of compressible Navier-Stokes equations with general pressure law and degenerate viscosities are studied. By using a unified approach, we give sufficient cond…
On the existence and multiplicity of solutions to fractional Lane-Emden elliptic systems involving measures
Mousomi Bhakta, Phuoc-Tai Nguyen
We study positive solutions to the fractional Lane-Emden system \begin{equation*} \tag{S}\label{S} \left\{ \begin{aligned} (-Δ)^s u &= v^p+μ\quad &&\text{in } Ω\\ (-Δ)^s v &= u^q+ν…
Energy conservation for inhomogeneous incompressible and compressible Euler equations
Quoc-Hung Nguyen, Phuoc-Tai Nguyen, Bao Quoc Tang
Energy conservations are studied for inhomogeneous incompressible and compressible Euler equations with general pressure law in a torus or a bounded domain. We provide sufficient c…
Onsager's conjecture on the energy conservation for solutions of Euler equations in bounded domains
Quoc-Hung Nguyen, Phuoc-Tai Nguyen
The Onsager's conjecture has two parts: conservation of energy, if the exponent is larger than and the possibility of dissipative Euler solutions, if the exponent is less or…
Schrödinger equations with singular potentials: linear and nonlinear boundary value problems
Moshe Marcus, Phuoc-Tai Nguyen
Let () be a bounded domain and be a submanifold of dimension . Put , $V=δ…
Boundary value problem with measures for fractional elliptic equations involving source nonlinearities
Mousomi Bhakta, Phuoc-Tai Nguyen
We are concerned with positive solutions of equation (E) in a domain (), where and $f\in C^α_{loc}(\mathbb{R})…