- Bifurcation of gravity-capillary Stokes waves with constant vorticity
2025/01/24 by Barbieri, T., Berti, M., Maspero, A. +1 · 1 citation
#35C07 #37K50 #58E07 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
- 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)
- Long-Time Behavior towards Shock Profiles for the Navier-Stokes-Poisson System
2024/11/13 by Moon-Jin Kang, Bongsuk Kwon, Kang, Moon-Jin +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
- Phenotype structuring in collective cell migration:a tutorial of mathematical models and methods
2024/10/17 by Lorenzi, Tommaso, Painter, Kevin J, Villa, Chiara · 5 citations
#35C07 #35R09 #92B05 #92C17 #92D25 #Analysis of PDEs (math.AP) #Cell Behavior (q-bio.CB) #FOS: Biological sciences #FOS: Mathematics
- 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)
- Periodic gravity-capillary roll wave solutions to the inclined viscous shallow water equations in two dimensions
2024/07/03 by Noah Stevenson, Stevenson, Noah · 1 citation
Earth and Planetary Sciences · #35C07 #76A20 #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #Coastal and Marine Dynamics #FOS: Mathematics #Ocean Waves and Remote Sensing #Primary 35Q35 #Secondary 35B32
- Solitary-wave solutions of the fractional nonlinear Schrödinger equation. I. Existence and numerical generation
2024/01/19 by Durán, A., Reguera, N. · 2 citations
#35C07 #65H10 #76B25 #Analysis of PDEs (math.AP) #FOS: Mathematics
- 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
- Turing patterns in a p-adic FitzHugh-Nagumo system on the unit ball
2023/08/08 by Chacón-Cortés, L. F., Garcia-Bibiano, C. A., Zúñiga-Galindo, W. A. · 1 citation
#35C07 #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Primary 47G30 #Secondary 32P05
- 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
- Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation
2023/04/05 by André de Laire, Guillaume Dujardin, de Laire, André +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
- 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)
- 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
- Numerical investigation of some reductions for the Gatenby-Gawlinski model
2021/03/03 by Mascia, Corrado, Moschetta, Pierfrancesco, Simeoni, Chiara · 1 citation
#35C07 #35K57 #35Q92 #65M06 #65M08 #92C37 #FOS: Mathematics #Numerical Analysis (math.NA)
- Strain and defects in oblique stripe growth
2021/02/04 by Chen, Kelly, Deiman, Zachary, Goh, Ryan +2 · 1 citation
#35B36 #35C07 #35R37 #74E15 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)
- Travelling-wave behaviour in doubly nonlinear reaction-diffusion equations
2020/09/27 by Yihong Du, Du, Yihong, Alejandro Gárriz +3 · 1 citation
Computer Science · Mathematics · Medicine · #35B40 #35C07 #35K55 #35K65 #76S05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models
- Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility
2020/07/26 by Lorenzi, Tommaso, Perthame, Benoît, Ruan, Xinran · 2 citations
#35B40 #35C07 #35F21 #35Q92 #35R09 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Uniqueness and nonuniqueness of fronts for degenerate diffusion-convection reaction equations
2020/07/06 by Berti, Diego, Corli, Andrea, Malaguti, Luisa · 1 citation
#34B40 #35C07 #35K57 #35K65 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Traveling wave solutions to the free boundary incompressible Navier-Stokes equations
2019/12/20 by Leoni, Giovanni, Tice, Ian · 1 citation
#35C07 #35M12 #35R35 #76D45 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35Q30 #Secondary 76D03
- Global bifurcation of waves with multiple critical layers
2019/07/12 by Varholm, Kristoffer · 4 citations
#35C07 #35Q31 (Primary) 35B32 #76B15 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- From individual-based mechanical models of multicellular systems to free-boundary problems
2019/03/15 by Lorenzi, Tommaso, Murray, Philip J., Ptashnyk, Mariya · 1 citation
#35C07 #35Q92 #35R35 #5Bxx #92-08 #92C10 #Analysis of PDEs (math.AP) #Cell Behavior (q-bio.CB) #FOS: Biological sciences #FOS: Mathematics #Tissues and Organs (q-bio.TO)
- Validated computations for connecting orbits in polynomial vector fields
2019/02/21 by Berg, Jan Bouwe van den, Sheombarsing, Ray · 1 citation
#35C07 #37C29 #37M99 #65G20 #Dynamical Systems (math.DS) #FOS: Mathematics
- Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity
2018/12/20 by de Laire, André, Mennuni, Pierre · 1 citation
#35A15 #35B35 #35C07 #35C08 #35J20 #35Q53 #35Q55 #37K05 #82D50 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Ion-acoustic shock in a collisional plasma
2018/06/22 by Renjun Duan, Duan, Renjun, Shuangqian Liu +3 · 1 citation
Mathematics · Physics and Astronomy · #35B35 #35B40 #35C07 #35Q35 #Analysis of PDEs (math.AP) #Dust and Plasma Wave Phenomena #FOS: Mathematics #Ionosphere and magnetosphere dynamics #Navier-Stokes equation solutions
- Bistable reaction equations with doubly nonlinear diffusion
2017/07/05 by Alessandro Audrito, Audrito, Alessandro · 1 citation
Computer Science · Mathematics · Medicine · #35C07 #35K55 #35K57 #35K65 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models
- Convergence to a single wave in the Fisher-KPP equation
2016/04/11 by Nolen, James, Roquejoffre, Jean-Michel, Ryzhik, Lenya · 2 citations
#35B40 #35C07 #35K57 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Traveling waves and long-time behavior in a doubly nonlocal Fisher-KPP\n equation
2015/08/10 by Dmitri Finkelshtein, Finkelshtein, Dmitri, Yuri Kondratiev +3 · 1 citation
Mathematics · Medicine · #35B40 #35C07 #35K57 #45E10 #45J05 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis
- Bistable Traveling Waves for Monotone Semiflows with Applications
2011/02/22 by Fang, Jian, Zhao, Xiao-Qiang · 2 citations
#35B40 #35C07 #35K55 #37C65 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics
- Generalized transition waves and their properties
2010/12/03 by Berestycki, Henri, Hamel, François · 1 citation
#35B06 #35B08 #35C07 #35C08 #35K10 #35K40 #Analysis of PDEs (math.AP) #FOS: Mathematics