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On the very weak solution to the Navier–Stokes equations

Nonlinearity, 2024-12, Vol.37 (12), p.125018

2024

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The stationary Oseen equations in R2

Bulletin des sciences mathématiques, 2024-07, Vol.193, Article 103453

2024

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Regularity criteria for weak solutions to the 3d co-rotational Beris-Edwards system via the pressure

Journal of Differential Equations, 2023-01, Vol.344, p.522-555

Liu, Qiao

2023

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Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity

Nonlinearity, 2022-01, Vol.35 (1), p.608-657

Fuest, Mario

2022

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Fractional Klein-Gordon equation with singular mass

Chaos, solitons and fractals, 2021-02, Vol.143, p.110579, Article 110579

2021

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Analysis of a degenerate parabolic cross-diffusion system for ion transport

Journal of mathematical analysis and applications, 2018-05, Vol.461 (1), p.523-543

2018

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Qualitative behavior of solutions to cross-diffusion systems from population dynamics

Journal of mathematical analysis and applications, 2016-08, Vol.440 (2), p.794-809

2016

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Blow-up, Concentration Phenomenon and Global Existence for the Keller-Segel Model in High Dimension

Communications in partial differential equations, 2012-04, Vol.37 (4), p.561-584

2012

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Weak solutions to coupled quadratic forward backward stochastic differential equations and Sobolev solutions to their related partial differential equations

Mathematical methods in the applied sciences, 2024-10, Vol.47 (15), p.12083-12099

2024

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On partial regularity for weak solutions to the 3D co-rotational Beris–Edwards system

Nonlinear analysis: real world applications, 2023-06, Vol.71, p.103805, Article 103805

Liu, Qiao

2023

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Interior and boundary regularity for the Navier-Stokes equations in the critical Lebesgue spaces

Discrete and continuous dynamical systems. Series A, 2020-09, Vol.40 (9), p.5289-5323

2020

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Lq-estimates for the stationary Oseen equations on exterior domains

Journal of Differential Equations, 2014-11, Vol.257 (10), p.3669-3699

2014

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Global weak solutions and asymptotic limits of a Cahn–Hilliard–Darcy system modelling tumour growth

AIMS mathematics, 2016-01, Vol.1 (3), p.318-360

2016

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Regularity of weak solutions and the number of singular points to the 3D simplified nematic liquid crystal system

Journal of functional analysis, 2019-12, Vol.277 (12), p.108294, Article 108294

Liu, Qiao

2019

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Supporting quadric method in optical design of freeform lenses for illumination control of a collimated light

Advances in applied mathematics, 2015-01, Vol.62, p.160-183

2015

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L3-solutions for the stationary Navier–Stokes equations in the exterior of a rotating obstacle

Nonlinear analysis: real world applications, 2020-04, Vol.52, p.1, Article 103020

Kim, Dugyu

2020

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A generalized regularity criterion for 3D Navier–Stokes equations in terms of one velocity component

Journal of Differential Equations, 2016-02, Vol.260 (4), p.3477-3494

Qian, Chenyin

2016

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A regularity criterion for the tridimensional Navier–Stokes equations in term of one velocity component

Journal of Differential Equations, 2014-01, Vol.256 (1), p.283-309

Zheng, Xiaoxin

2014

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The equivalence of weak and very weak supersolutions to the porous medium equation

Tôhoku mathematical journal, 2018-09, Vol.70 (3)

2018

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External optimal control of nonlocal PDEs

Inverse problems, 2019-08, Vol.35 (8), p.84003

2019

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On the weak–strong uniqueness of Koch–Tataruʼs solution for the Navier–Stokes equations

Journal of Differential Equations, 2014-04, Vol.256 (7), p.2406-2422

2014

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Analysis of a coupled spin drift–diffusion Maxwell–Landau–Lifshitz system

Journal of Differential Equations, 2016-05, Vol.260 (9), p.6828-6854

2016

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On the energy equality for the 3D Navier–Stokes equations

Nonlinear analysis, 2020-03, Vol.192, p.111704, Article 111704

2020

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Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking

SIAM journal on mathematical analysis, 2013-01, Vol.45 (3), p.1871-1885

2013

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Very weak solutions of the stationary Navier–Stokes equations for an incompressible fluid past obstacles

Nonlinear analysis, 2016-12, Vol.147, p.145-168

2016

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On the very weak solution to the Navier–Stokes equations

The stationary Oseen equations in R2

Regularity criteria for weak solutions to the 3d co-rotational Beris-Edwards system via the pressure

Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity

Fractional Klein-Gordon equation with singular mass

Analysis of a degenerate parabolic cross-diffusion system for ion transport

Qualitative behavior of solutions to cross-diffusion systems from population dynamics

Blow-up, Concentration Phenomenon and Global Existence for the Keller-Segel Model in High Dimension

Weak solutions to coupled quadratic forward backward stochastic differential equations and Sobolev solutions to their related partial differential equations

On partial regularity for weak solutions to the 3D co-rotational Beris–Edwards system

Interior and boundary regularity for the Navier-Stokes equations in the critical Lebesgue spaces

Lq-estimates for the stationary Oseen equations on exterior domains

Global weak solutions and asymptotic limits of a Cahn–Hilliard–Darcy system modelling tumour growth

Regularity of weak solutions and the number of singular points to the 3D simplified nematic liquid crystal system

Supporting quadric method in optical design of freeform lenses for illumination control of a collimated light

L3-solutions for the stationary Navier–Stokes equations in the exterior of a rotating obstacle

A generalized regularity criterion for 3D Navier–Stokes equations in terms of one velocity component

A regularity criterion for the tridimensional Navier–Stokes equations in term of one velocity component

The equivalence of weak and very weak supersolutions to the porous medium equation

External optimal control of nonlocal PDEs

On the weak–strong uniqueness of Koch–Tataruʼs solution for the Navier–Stokes equations

Analysis of a coupled spin drift–diffusion Maxwell–Landau–Lifshitz system

On the energy equality for the 3D Navier–Stokes equations

Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking

Very weak solutions of the stationary Navier–Stokes equations for an incompressible fluid past obstacles

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