1. Polynomial stability of wind turbine tower models
   2025/03/28 by Fkirine, Mohamed, Paunonen, Lassi · 2 citations
   #35B35 #35B40 #47D06 (47A10) #93C20 #93D15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
2. Global Stable Solutions to the Free Boundary Allen--Cahn and Bernoulli Problems in 3D are One-Dimensional
   2025/03/27 by Chan, Hardy, Fernández-Real, Xavier, Figalli, Alessio +1 · 5 citations
   #35B35 #35J61 #35R35 #49Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. On long time behavior of solutions of the Schrödinger-KdV system with and without resonant interactions
   2025/03/22 by Linares, Felipe, Zhou, Dequin · 1 citation
   #35B35 #35B40 #35Q53 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
4. Well-Posedness and Stability of Infinite-Dimensional Systems Under Monotone Feedback
   2025/03/20 by Anthony Hastir, Hastir, Anthony, Lassi Paunonen +1 · 2 citations
   Engineering · #34G20 #35B35 #35K05) #47H20 #93B52 #93D20 (47H06 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Geotechnical and Geomechanical Engineering #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations
5. Radial symmetry, uniqueness and non-degeneracy of solutions to degenerate nonlinear Schrödinger equations
   2025/03/02 by Tianxiang Gou, Gou, Tianxiang · 1 citation
   Mathematics · Physics and Astronomy · #35B35 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Nonlinear Waves and Solitons
6. Existence and stability of soliton-based frequency combs in the Lugiato-Lefever equation
   2025/02/05 by Lukas Bengel, Björn de Rijk, Bengel, Lukas +1 · 1 citation
   Computer Science · Physics and Astronomy · #34C23 #35B10 #35B35 #35C08 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Primary #Secondary
7. Upwind filtering of scalar conservation laws
   2025/01/30 by Coclite, Giuseppe Maria, Karlsen, Kenneth Hvistendahl, Risebro, Nils Henrik · 2 citations
   #35B35 #35D30 #35L65 #Analysis of PDEs (math.AP) #FOS: Mathematics
8. Uniqueness & Weak-BV Stability in the Large for Isothermal Gas Dynamics
   2025/01/27 by Cheng, Jeffrey · 1 citation
   #35B35 #35L45 #35L65 #76N15 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. Stability of fluids in spacetimes with decelerated expansion
   2025/01/22 by Fajman, David, Ofner, Maximilian, Oliynyk, Todd +1 · 2 citations
   #35B35 #35Q75 #83C05 #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
10. Quasi-Optimal Least Squares: Inhomogeneous boundary conditions, and application with machine learning
    2024/12/08 by Harald Monsuur, Robin Smeets, Monsuur, Harald +3 · 1 citation
    Engineering · Mathematics · #35B35 #35B45 #65N30 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Numerical Analysis (math.NA) #Statistical and numerical algorithms
11. Long-Time Behavior towards Shock Profiles for the Navier-Stokes-Poisson System
    2024/11/13 by Moon-Jin Kang, Kang, Moon-Jin, Bongsuk Kwon +3 · 2 citations
    Engineering · Mathematics · #35B35 #35B4 #35C07 #35Q35 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions
12. Stability of a Riemann Shock in a Physical Class: From Brenner-Navier-Stokes-Fourier to Euler
    2024/11/06 by Saehoon Eo, Namhyun Eun, Eo, Saehoon +3 · 1 citation
    Mathematics · Physics and Astronomy · #35B35 #35Q30 #76N15 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Navier-Stokes equation solutions
13. Nonlinear stability threshold for compressible Couette flow
    2024/09/02 by Huang, Feimin, Li, Rui, Xu, Lingda · 1 citation
    #35B35 #35Q30 #76L05 #Analysis of PDEs (math.AP) #FOS: Mathematics
14. Transverse Instability of Stokes Waves at Finite Depth
    2024/08/13 by Creedon, Ryan P., Nguyen, Huy Q., Strauss, Walter A. · 2 citations
    #35B35 #35C07 #35Q35 #35R35 #76B07 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)
15. The long way of a viscous vortex dipole
    2024/07/18 by Michele Dolce, Dolce, Michele, Thierry Gallay +1 · 2 citations
    Engineering · #35B35 #35C20 #35Q30 #76D05 #76D17 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows
16. Well-posedness and stability for the two-phase periodic quasistationary Stokes flow
    2024/06/11 by Böhme, Daniel, Matioc, Bogdan-Vasile · 3 citations
    #31A10 #35B35 #35B65 #35K55 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics
17. Time-asymptotics of a heated string
    2024/05/07 by Piotr Michał Bies, Bies, Piotr Michał, Tomasz Cieślak +1 · 5 citations
    Computer Science · Engineering · #35B35 #35B40 #35Q74 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Physics and Engineering Research Articles #Vibration and Dynamic Analysis
18. Bifurcation diagrams of semilinear elliptic equations for supercritical nonlinearities in two dimensions
    2024/04/05 by Kenta Kumagai, Kumagai, Kenta · 1 citation
    Computer Science · Engineering · Mathematics · #35B32 #35B35 #35J25 #35J61 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations
19. First isola of modulational instability of Stokes waves in deep water
    2024/01/26 by Berti, Massimiliano, Maspero, Alberto, Ventura, Paolo · 2 citations
    #35B35 #76B15 (Primary) #76E99 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics
20. Convergence and stability results for the particle system in the Stein gradient descent method
    2023/12/26 by José A. Carrillo, Carrillo, José A., Jakub Skrzeczkowski +1 · 1 citation
    Mathematics · Physics and Astronomy · #35B35 #35Q62 #35Q68 #62-08 #65K10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Markov Chains and Monte Carlo Methods #Statistics Theory (math.ST) #Theoretical and Computational Physics
21. Stability of solitary wave solutions in the Lugiato-Lefever equation
    2023/12/13 by Bengel, Lukas · 1 citation
    #35B35 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary: 34C23 #Secondary: 35Q60
22. The Talenti comparison result in a quantitative form
    2023/11/30 by Amato, Vincenzo, Barbato, Rosa, Masiello, Alba Lia +1 · 1 citation
    #35B35 #35J05 #35J25 #Analysis of PDEs (math.AP) #FOS: Mathematics
23. One-phase free boundary solutions of finite Morse index
    2023/11/16 by Basulto, José, Kamburov, Nikola · 1 citation
    #35B08 #35B35 #35J25 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics
24. Nonlinear asymptotic stability of compressible vortex sheets with viscosity effects
    2023/08/11 by Huang, Feimin, Xin, Zhouping, Xu, Lingda +1 · 1 citation
    #35B35 #76E05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35Q30
25. On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
    2023/07/31 by Hennig, Dirk, Karachalios, Nikos I., Mantzavinos, Dionyssios +2 · 2 citations
    #35B35 #35Q55 #37K40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph) #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS)
26. Global decay of perturbations of equilibrium states for one-dimensional heat conducting compressible fluids of Korteweg type
    2023/07/30 by Plaza, Ramón G., Valdovinos, José M. · 1 citation
    #35B35 #35B40 #35G20 #35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)
27. Energy stability for a class of semilinear elliptic problems
    2023/07/14 by Afonso, Danilo Gregorin, Iacopetti, Alessandro, Pacella, Filomena · 2 citations
    #35B35 #35B38 #35J61 #49Q10 #Analysis of PDEs (math.AP) #FOS: Mathematics
28. Classification and stability of positive solutions to the NLS equation on the T-metric graph
    2023/06/23 by Agostinho, Francisco, Correia, Simão, Tavares, Hugo · 2 citations
    #35A01 #35B35 #35B65 #35Q53 #35Q55 #42B37 #Analysis of PDEs (math.AP) #FOS: Mathematics
29. Properties of Non-Equilibrium Steady States for the non-linear BGK equation on the torus
    2023/05/02 by Josephine Evans, Evans, Josephine, Angeliki Menegaki +1 · 1 citation
    Computer Science · Engineering · Mathematics · #35A01 #35A02 #35B35 #35B40 #35Q20 #35Q49 #35Q79 #35Q82 #82C22 #82C35 #82C40 #82C70 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Biology Tumor Growth #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Probability (math.PR) #Stability and Controllability of Differential Equations
30. Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation
    2023/04/05 by André de Laire, de Laire, André, Guillaume Dujardin +3 · 1 citation
    Mathematics · Physics and Astronomy · #35B35 #35C07 #35C08 #35Q55 #37K40 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Numerical Analysis (math.NA) #Strong Light-Matter Interactions

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