1. Global and nonglobal solutions for a mixed local-nonlocal heat equation
   2025/05/26 by Carhuas, Brandon, Castillo, Ricardo, Freire, Ricardo +2 · 2 citations
   #35A01 #35B44 #35K57 #35K58 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics
2. Generalised principal eigenvalues and global survival of branching Markov processes
   2025/05/17 by Pascal Maillard, Oliver Tough, Maillard, Pascal +1 · 1 citation
   Business, Management and Accounting · Economics, Econometrics and Finance · Mathematics · #35B50 #35J61 #35K57 #35P15 #60J80 #60J85 #Advanced Queuing Theory Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics
3. Discrete-to-continuum limit for nonlinear reaction-diffusion systems via EDP convergence for gradient systems
   2025/04/09 by Heinze, Georg, Mielke, Alexander, Stephan, Artur · 2 citations
   #35A15 #35A35 #35K57 #47J35 #65M08 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA)
4. On a Brain Tumor Growth Model with Lactate Metabolism, Viscoelastic Effects, and Tissue Damage
   2025/02/04 by Giulia Cavalleri, Cavalleri, Giulia, Pierluigi Colli +5 · 2 citations
   Mathematics · #35B65 #35D30 #35K57 #35K61 #35Q92 #92C50 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth
5. Nonlinear SPDEs and Maximal Regularity: An Extended Survey
   2025/01/30 by Agresti, Antonio, Veraar, Mark · 7 citations
   #35B65 #35K57 #35K59 #35K90 #35R60 #42B37 #47D06 #58D25 #76M35 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Primary: 60H15 #Probability (math.PR) #Secondary: 35A01
6. Savanna dynamics with grazing, browsing, and migration effects
   2025/01/11 by Chen, Chiun-Chuan, Hsiao, Ting-Yang, Wang, Shun-Chieh · 2 citations
   #35B50 #35C07 #35K57 #37N25 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE)
7. A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production
   2024/11/10 by Tao, Youshan, Winkler, Michael · 1 citation
   #35B44 (primary) #35K57 #35K59 #35Q92 #92C17 (secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics
8. Effective interface laws for fluid flow and solute transport through thin reactive porous layers
   2024/09/24 by Gahn, Markus, Neuss-Radu, Maria · 3 citations
   #35B27 #35K57 #35K61 #76M50 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. A phase field model of Cahn-Hilliard type for tumour growth with mechanical effects and damage
   2024/09/23 by Cavalleri, Giulia · 1 citation
   #35A01 #35K35 #35K57 #35K92 #35Q74 #35Q92 #74A45 #Analysis of PDEs (math.AP) #FOS: Mathematics
10. From Finite to Continuous Phenotypes in (Visco-)Elastic Tissue Growth Models
    2024/09/04 by Dębiec, Tomasz, Mandal, Mainak, Schmidtchen, Markus · 1 citation
    #35B45 #35K55 #35K57 #35K65 #35Q92 #47N60 #Analysis of PDEs (math.AP) #FOS: Mathematics
11. Nonlocal-to-Local Convergence for a Cahn-Hilliard Tumor Growth Model
    2024/02/21 by Hurm, Christoph, Moser, Maximilian · 1 citation
    #35B40 #35K57 #35K61 #35Q92 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Connections Between Finite Difference and Finite Element Approximations for a Convection-Diffusion Problem
    2024/02/05 by Bacuta, Constantin, Bacuta, Cristina · 1 citation
    #35K57 #35Q35 #65F #65H10 #65N06 #65N12 #65N22 #65N30 #74S05 #76R10 #76R50 #FOS: Mathematics #Numerical Analysis (math.NA)
13. Travelling pulses on three spatial scales in a Klausmeier-type vegetation-autotoxicity model
    2023/12/19 by Carter, Paul, Doelman, Arjen, Iuorio, Annalisa +1 · 2 citations
    #34C37 #35B25 #35C07 #35K57 #92D40 #Dynamical Systems (math.DS) #FOS: Mathematics
14. A strongly degenerate migration-consumption model in domains of arbitrary dimension
    2023/12/19 by Winkler, Michael · 1 citation
    #35K51 #35K57 #35K65 #35Q92 #92C17 #Analysis of PDEs (math.AP) #FOS: Mathematics
15. Boundedness of solutions of nonautonomous degenerate logistic equations
    2023/10/11 by Arrieta, José M., Molina-Rodríguez, Marcos, Santos, Lucas A. · 1 citation
    #35B40 #35K57 #Analysis of PDEs (math.AP) #FOS: Mathematics
16. A two-timescale model of plankton-oxygen dynamics predicts formation of Oxygen Minimum Zones and global anoxia
    2023/09/27 by Chowdhury, Pranali Roy, Banerjee, Malay, Petrovskii, Sergei · 1 citation
    #34C23 #35B36 #35K57 #92D40 #Dynamical Systems (math.DS) #FOS: Mathematics
17. A Novel Stochastic Interacting Particle-Field Algorithm for 3D Parabolic-Parabolic Keller-Segel Chemotaxis System
    2023/09/24 by Wang, Zhongjian, Xin, Jack, Zhang, Zhiwen · 5 citations
    #35K57 #65C35 #65M70 #65M75 #92C17 #FOS: Mathematics #Numerical Analysis (math.NA)
18. Free boundary regularity for tumor growth with nutrients and diffusion
    2023/09/12 by Carson Collins, Matt Jacobs, Collins, Carson +3 · 1 citation
    Mathematics · #35F21 #35K45 #35K57 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Biology Tumor Growth #Navier-Stokes equation solutions
19. Global solution and optimal control of an epidemic propagation with a heterogeneous diffusion
    2023/08/16 by Colli, Pierluigi, Gilardi, Gianni, Marinoschi, Gabriela · 1 citation
    #35K55 #35K57 #35Q92 #46N60 #49J20 #49J50 #49K20 #92D30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
20. Asymptotic limits of the principal spectrum point of a nonlocal dispersal cooperative system and application to a two-stage structured population model
    2023/06/30 by Onyido, Maria A., Salako, Rachidi B., Uba, Markjoe O. +1 · 1 citation
    #35K57 #35P15 #92D40 #92D50 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics
21. Spatio-temporal dynamics for non-monotone semiflows with limiting systems having spreading speeds
    2023/04/28 by Taishan Yi, Xiao‐Qiang Zhao, Yi, Taishan +1 · 1 citation
    Computer Science · Mathematics · Medicine · #35B40 #35C07 #35K57 #37C65 #37L15 #92D25 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation
22. A chemotaxis reaction-diffusion model for Multiple Sclerosis with Allee effect
    2023/03/03 by Bisi, Marzia, Groppi, Maria, Martalò, Giorgio +1 · 1 citation
    #35K57 #70K50 #92C15 #92C17 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)
23. Analysis of a Reaction-Diffusion SIR Epidemic Model with Noncompliant Behavior
    2023/03/02 by Parkinson, Christian, Wang, Weinan · 2 citations
    #35K55 #35K57 #92D30 #Analysis of PDEs (math.AP) #FOS: Mathematics
24. The tragedy of the commons: A Mean-Field Game approach to the reversal of travelling waves
    2023/03/02 by Ziad Kobeissi, Idriss Mazari-Fouquer†, Kobeissi, Ziad +3 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Medicine · Social Sciences · #35C07 #35K10 #35K57 #35Q89 #49N80 #Analysis of PDEs (math.AP) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Optimization and Control (math.OC)
25. Traveling waves in reaction-diffusion equations with delay in both diffusion and reaction terms
    2023/01/27 by Barker, William, Van Minh, Nguyen · 1 citation
    #35C07 #35K57 #Dynamical Systems (math.DS) #FOS: Mathematics
26. Analysing transitions from a Turing instability to large periodic patterns in a reaction-diffusion system
    2023/01/19 by Brown, Christopher, Derks, Gianne, van Heijster, Peter +1 · 1 citation
    #34D15 #34E15 #35K40 #35K57 #37J46 #Dynamical Systems (math.DS) #FOS: Mathematics
27. Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis
    2022/12/13 by Lu, Min-Jhe, Hao, Wenrui, Hu, Bei +1 · 2 citations
    #35B35 #35K57 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics
28. Graph gradient flows : from discrete to continuum
    2022/11/07 by Yoshikazu Giga, Giga, Yoshikazu, Yves van Gennip +3 · 1 citation
    Computer Science · Mathematics · #35K55 #35K57 #35Q68 #35R02 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #Topological and Geometric Data Analysis
29. Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity
    2022/09/29 by Antonio Agresti, Mark Veraar, Agresti, Antonio +1 · 2 citations
    Engineering · Mathematics · Medicine · #35A01 #35B44 #35K57 #35K90 #35R60 #58D25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Primary 60H15 #Probability (math.PR) #Secondary: 35B65 #Stability and Controllability of Differential Equations
30. Decoupled algorithms for non-linearly coupled reaction-diffusion competition model with harvesting and Stocking
    2022/09/28 by Mohebujjaman, Muhammad, Buenrostro, Clarisa, Kamrujjaman, Md. +1 · 1 citation
    #35K57 #65M12 #65M22 #65M60 #92D25 #FOS: Mathematics #Numerical Analysis (math.NA)

more