1. Reconstruction of acoustic sources from the initial arrival time of waves
   2025/09/28 by Li, Qiuyi, Chen, Bo, Gao, Peng +2 · 1 citation
   #35A02 #35L05 #65M32 #FOS: Physical sciences #Mathematical Physics (math-ph)
2. Low regularity well-posedness of nonlocal dispersive perturbations of Burgers' equation
   2025/06/21 by Molinet, Luc, Pilod, Didier, Vento, Stéphane · 2 citations
   #35A01 #35A02 #35B45 #35E15 #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. A porous medium equation with rough weights: sharp Widder theory
   2025/06/09 by Grillo, Gabriele, Muratori, Matteo, Petitt, Troy +1 · 1 citation
   #35A01 #35A02 #35B45 #35J08 #35K65 #35R06. Secondary: 28A33 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary: 35R05
4. A time-dependent inverse source problem for a semilinear pseudo-parabolic equation with Neumann boundary condition
   2025/02/07 by Karel Van Bockstal, Kh. Khompysh, Van Bockstal, K. +1 · 1 citation
   Computer Science · Mathematics · #33E12 #35A01 #35A02 #35A15 #35R11 #65M12 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems
5. Existence of solutions to a quasilinear nonlocal PDE
   2024/12/11 by Carrero, Lisbeth, Quaas, Alexander, Zuniga, Andres · 3 citations
   #35A01 #35A02 #35A15 #35B09 #35B38 #35R11 #49J45 #Analysis of PDEs (math.AP) #FOS: Mathematics
6. Continuity up to the boundary for minimizers of the one-phase Bernoulli problem
   2024/08/19 by Xavier Fernández‐Real, Florian Gruen, Fernández-Real, Xavier +1 · 3 citations
   Computer Science · Mathematics · #35A02 #35B65 #35N25 #35R35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems
7. On the dimension of observable sets for the heat equation
   2024/07/30 by Green, A. Walton, Balc'h, Kévin Le, Martin, Jérémy +1 · 3 citations
   #35A02 #35K05 #35Q93 #58J35 #93B05 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics
8. Fractional cross-diffusion in a bounded domain: existence, weak-strong uniqueness, and long-time asymptotics
   2024/07/29 by De Nitti, Nicola, Zamponi, Nicola · 1 citation
   #35A01 #35A02 #35B40 #35K40 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
9. Sharp non-uniqueness for the 2D hyper-dissipative Navier-Stokes equations
   2024/07/09 by Lili Du, Xinliang Li, Du, Lili +1 · 1 citation
   Engineering · Mathematics · #35A02 #35D30 #76D05 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
10. Non-uniqueness of weak solutions to 2D generalized Navier-Stokes equations
    2024/05/31 by Xinliang Li, Zhong Tan, Li, Xinliang +1 · 1 citation
    Computer Science · Engineering · Mathematics · #35A02 #35Q30 #76D05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
11. Global-in-time well-posedness of the compressible Navier-Stokes equations with striated density
    2024/05/20 by Liao, Xian, Zodji, Sagbo Marcel · 2 citations
    #35A01 #35A02 #35Q30 #35R35 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Uniqueness of the blow-down limit for triple junction problem
    2024/04/03 by Zhiyuan Geng, Geng, Zhiyuan · 1 citation
    Mathematics · #35A02 #35B08 #35J47 #35J50 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
13. Quantitative 2D propagation of smallness and control for 1D heat equations with power growth potentials
    2024/03/12 by Wang, Yunlei · 1 citation
    #30C62 #35A02 #35K05 #35Q93 #58J35 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC)
14. Optimal boundary regularity and a Hopf-type lemma for Dirichlet problems involving the logarithmic Laplacian
    2024/01/31 by Víctor Hernández-Santamaría, Hernández-Santamaría, Víctor, Luis Fernando López Ríos +3 · 5 citations
    Computer Science · Mathematics · #35A02 #35B65 #35S15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
15. Global wellposedness of general nonlinear evolution equations for distributions on the Fourier half space
    2024/01/18 by Nakanishi, Kenji, Wang, Baoxiang · 1 citation
    #35A01 #35A02 #35B60 #35F55 #35G55 #35K55 #35L60 #35L70 #35Q30 #35Q31 #35Q55 #46F05 #46F10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
16. Semilinear equations in bounded cylinders: Morse index and bifurcation from one-dimensional solutions
    2023/11/26 by Afonso, Danilo Gregorin · 1 citation
    #35A02 #35A16 #35B06 #35B32 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics
17. A well-posedness result for the compressible two-fluid model with density-dependent viscosity
    2023/10/19 by Sagbo Marcel Zodji, Zodji, Sagbo Marcel · 1 citation
    Engineering · Mathematics · #35A02 #35Q30 #76N10 #76T10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
18. Free boundary regularity of vacuum states for incompressible viscous flows in unbounded domains
    2023/10/13 by Christophe Prange, Prange, Christophe, Jin Tan +1 · 2 citations
    Computer Science · Mathematics · #35A02 #35Q30 #35R35 #76D05 #76D27 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions
19. On the well-posedness of the Cahn-Hilliard-Biot model and its applications to tumor growth
    2023/10/10 by Fritz, Marvin · 1 citation
    #35A01 #35A02 #35D30 #35Q92 #65M60 #Analysis of PDEs (math.AP) #FOS: Mathematics
20. Dislocations with corners in an elastic body with applications to fault detection
    2023/09/18 by Huaian Diao, Diao, Huaian, Hongyu Liu +3 · 3 citations
    Computer Science · Mathematics · #35A02 #74B05 #94C12 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Numerical methods in inverse problems
21. Generic properties in free boundary problems
    2023/08/25 by Xavier Fernández‐Real, Fernández-Real, Xavier, Hui Yu +1 · 5 citations
    Computer Science · Mathematics · #35A02 #35R35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
22. Properties of Non-Equilibrium Steady States for the non-linear BGK equation on the torus
    2023/05/02 by Josephine Evans, Angeliki Menegaki, Evans, Josephine +1 · 2 citations
    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
23. Lipschitz truncation method for parabolic double-phase systems and applications
    2023/04/19 by Kim, Wontae, Kinnunen, Juha, Särkiö, Lauri · 4 citations
    #35A01 #35A02 #35D30 #35K55 #35K65 #Analysis of PDEs (math.AP) #FOS: Mathematics
24. Well-posedness and qualitative properties of quasilinear degenerate evolution systems
    2023/03/31 by Mitra, Koondanibha, Sonner, Stefanie · 1 citation
    #35A01 #35A02 #35B44 #35B45 #35B50 #35K59 #35K65 #Analysis of PDEs (math.AP) #FOS: Mathematics
25. On a nonlinear Robin problem with an absorption term on the boundary and L¹ data
    2023/03/30 by Della Pietra, Francesco, Oliva, Francescantonio, de León, Sergio Segura · 1 citation
    #35A01 #35A02 #35J25 #35J60 #35J70 #35J75 #Analysis of PDEs (math.AP) #FOS: Mathematics
26. Regularity and numerical approximation of fractional elliptic differential equations on compact metric graphs
    2023/02/08 by Bolin, David, Kovács, Mihály, Kumar, Vivek +1 · 5 citations
    #35A01 #35A02 #35R02 #60H15 #60H40 #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
27. Diffuse-interface approximation and weak-strong uniqueness of anisotropic mean curvature flow
    2022/12/22 by Tim Laux, Kerrek Stinson, Laux, Tim +3 · 3 citations
    Mathematics · #35A02 #35D30 #53E30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Stochastic processes and statistical mechanics
28. Microscopic expression of anomalous dissipation in Passive scalar transport
    2022/12/13 by Tomonori Tsuruhashi, Tsuyoshi Yoneda, Tsuruhashi, Tomonori +1 · 1 citation
    Engineering · Mathematics · #35A02 #35D30 #35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions
29. On the temperature distribution of a body heated by radiation
    2022/11/21 by Jin Woo Jang, Juan J. L. Velázquez, Jang, Jin Woo +1 · 2 citations
    Engineering · Mathematics · #35A02 #35Q31 #35R25 #76N10 #85A25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Numerical methods in inverse problems #Radiative Heat Transfer Studies
30. Propagation of velocity moments and uniqueness for the magnetized Vlasov-Poisson system
    2022/09/07 by Alexandre Rege, Rege, Alexandre · 1 citation
    Mathematics · Physics and Astronomy · #35A02 #76X05 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Optical properties and cooling technologies in crystalline materials #Spectral Theory in Mathematical Physics

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