1. Global strong well-posedness of the CAO-problem introduced by Lions, Temam and Wang
   2025/05/17 by Binz, Tim, Brandt, Felix, Hieber, Matthias +1 · 1 citation
   #35K55 #35Q35 #35Q86 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics
2. Calmed Ohmic Heating for the 2D Magnetohydrodynamic-Boussinesq System: Global Well-posedness and Convergence
   2024/10/06 by Enlow, Matthew, Larios, Adam, Pei, Yuan · 1 citation
   #35A01 #35G50 #35Q35 #76D03 #76D05 #76W05 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
3. Global axisymmetric solutions for Navier-Stokes equation with rotation uniformly in the inviscid limit
   2024/09/26 by Haram Ko, Ko, Haram · 2 citations
   Engineering · Mathematics · #35Q30 #76D03 #76D05 #76U05 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
4. Nonstationary Stokes equations on a domain with curved boundary under slip boundary conditions
   2024/08/30 by Dong, Hongjie, Kwon, Hyunwoo · 1 citation
   #35B45 #35K51 #76D03 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics
5. Stability of equilibria and bifurcations for a fluid-solid interaction problem
   2024/06/06 by Bonheure, Denis, Galdi, Giovanni P., Gazzola, Filippo · 2 citations
   #35B32 #74F10 #76D03 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics
6. Global dynamics of Kato's solutions for the 3D incompressible micropolar system
   2024/04/13 by Zihao Song, Song, Zihao · 1 citation
   Mathematics · #35D35 #35Q30 #76D03 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions
7. Non-unique stationary solutions of even active scalar equations
   2024/03/25 by Mimi Dai, Chao Wu, Dai, Mimi +1 · 1 citation
   Mathematics · Physics and Astronomy · #35Q35 #35Q86 #76D03 #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions
8. Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential
   2024/03/16 by Christoph Hurm, Patrik Knopf, Hurm, Christoph +3 · 5 citations
   Computer Science · Mathematics · #35Q30 #45K05 #76D03 #76D05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary: 35Q35. Secondary: 35K55
9. Existence theorems for the steady-state Navier-Stokes equations with nonhomogeneous slip boundary conditions in two-dimensional multiply-connected bounded domains
   2024/02/29 by Galdi, Giovanni P., Yamamoto, Tatsuki · 1 citation
   #35Q30 #76D03 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics
10. On the global well-posedness of interface dynamics for gravity Stokes flow
    2024/02/23 by Francisco Gancedo, Rafael Granero-Belinchón, Gancedo, Francisco +3 · 2 citations
    Computer Science · Engineering · Mathematics · #35Q35 #76D03 #76D07 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions
11. Structure-preserving neural networks in data-driven rheological models
    2024/01/13 by Nicola Parolini, Andrea Poiatti, Parolini, Nicola +5 · 2 citations
    Chemical Engineering · Engineering · Physics and Astronomy · #41A46 #76A05 #76D03 #76M10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Rheology and Fluid Dynamics Studies
12. Almost sure global well-posedness for 3D Euler equation and other fluid dynamics models
    2023/12/30 by Foldes, Juraj, Sy, Mouhamadou · 1 citation
    #35B40 #35B44 #35B65 #35Q31 #35Q35 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
13. Two-phase flows through porous media described by a Cahn--Hilliard--Brinkman model with dynamic boundary conditions
    2023/12/23 by Colli, Pierluigi, Knopf, Patrik, Schimperna, Giulio +1 · 4 citations
    #35B65 #35D30 #35K35 #35K86 #76D03 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
14. Global Navier-Stokes flows in intermediate spaces
    2023/10/23 by Bradshaw, Zachary, Chernobai, Misha, Tsai, Tai-Peng · 2 citations
    #35Q30 #76D03 #76D05 #Analysis of PDEs (math.AP) #FOS: Mathematics
15. Mathematical Analysis of a Diffuse Interface Model for Multi-Phase Flows of Incompressible Viscous Fluids with Different Densities
    2023/08/22 by Abels, Helmut, Garcke, Harald, Poiatti, Andrea · 4 citations
    #35B40 #35B65 #35Q30 #35Q35 #76D03 #76D05 #76D45 #Analysis of PDEs (math.AP) #FOS: Mathematics
16. Global regularity for the 2D micropolar Rayleigh-Bénard convection system with velocity zero dissipation and temperature critical dissipation
    2023/07/13 by Yuan, Baoquan, Li, Changhao · 1 citation
    #35B65 #35Q35 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics
17. On a class of generalised solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids: existence and macroscopic closure
    2023/06/29 by Tomasz Dębiec, Endre Süli, Dębiec, Tomasz +1 · 1 citation
    Chemical Engineering · Engineering · #35Q30 #76A05 #76D03 #82C31 #82D60 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Phase Equilibria and Thermodynamics #Rheology and Fluid Dynamics Studies
18. Globally analytical solutions of the compressible Oldroyd-B model without retardation
    2023/05/31 by Pan, Xinghong · 1 citation
    #76A05 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics
19. Initial-boundary value problems for Poiseuille flow of nematic liquid crystal via full Ericksen-Leslie model
    2023/05/24 by Geng Chen, Yanbo Hu, Chen, Geng +3 · 1 citation
    Mathematics · #35L53 #35M33 #76D03 #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals
20. Non-unique stationary solutions of forced SQG
    2023/02/07 by Dai, Mimi, Peng, Qirui · 1 citation
    #35Q35 #35Q86 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics
21. Global well-posedness and convergence to equilibrium for the Abels-Garcke-Grün model with nonlocal free energy
    2022/12/07 by Gal, Ciprian G., Giorgini, Andrea, Grasselli, Maurizio +1 · 5 citations
    #35B40 #35B65 #35Q35 #76D03 #76D45 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics
22. Global solutions to 3D incompressible MHD system with dissipation in only one direction
    2022/10/28 by Lin, Hongxia, Wu, Jiahong, Zhu, Yi · 1 citation
    #35A01 #35B35 #35B65 #76D03 #76E25 #Analysis of PDEs (math.AP) #FOS: Mathematics
23. Stochastic formulation of incompressible fluid flows in wall bounded regions
    2022/06/10 by Qian, Zhongmin · 1 citation
    #35Q30 #35Q35 #60H30 #76D03 #76D05 #76D17 #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Probability (math.PR)
24. Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus
    2022/05/24 by Ambrose, D. M., Filho, M. C. Lopes, Lopes, H. J. Nussenzveig · 1 citation
    #35A20 #35Q30 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics
25. Global Strong Solutions to Density-Dependent Viscosity Navier-Stokes Equations in 3D Exterior Domains
    2022/05/12 by Cai, Guocai, Lü, Boqiang, Peng, Yi · 1 citation
    #35Q30 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics
26. Well-posedness of frame hydrodynamics for biaxial nematic liquid crystals
    2022/02/18 by Li, Sirui, Wang, Chenchen, Xu, Jie · 1 citation
    #35A01 #35K55 #35Q35 #76A15 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics
27. Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities
    2022/01/16 by Abels, Helmut, Terasawa, Yutaka · 4 citations
    #35Q35 #76D03 #76D05 #76D27 #76D45 #76T99 #Analysis of PDEs (math.AP) #FOS: Mathematics
28. Weak-strong Uniqueness for Heat Conducting non-Newtonian Incompressible Fluids
    2021/09/22 by Gazca-Orozco, Pablo Alexei, Patel, Victoria · 1 citation
    #35Q35 #65M60 #76A05 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
29. Continuous Data Assimilation For the 3D Ladyzhenskaya Model: Analysis and Computations
    2021/08/07 by Cao, Yu, Giorgini, Andrea, Jolly, Michael +1 · 5 citations
    #34D06 #76A05 #76D03 #Analysis of PDEs (math.AP) #Computational Physics (physics.comp-ph) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)
30. Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations
    2021/07/14 by Lewei Xu, Xu, L., P. Zhang +1 · 1 citation
    Engineering · Mathematics · #35Q30 #76D03 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

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