- The anisotropic Cahn--Hilliard equation with degenerate mobility: Existence of weak solutions
2025/02/19 by Harald Garcke, Patrik Knopf, Garcke, Harald +3 · 1 citation
Computer Science · Materials Science · Mathematics · #35D30 #35K55 #35K61 #74E10 #82C26 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Solidification and crystal growth phenomena
- Error analysis for a viscoelastic phase separation model
2024/07/01 by Brunk, Aaron, Egger, Herbert, Habrich, Oliver +1 · 1 citation
#35K52 #35K55 #65M12 #65M60 #82C26 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
- Kobayashi-Warren-Carter System of Singular Type under Dynamic Boundary Condition
2023/08/17 by Nakayashiki, Ryota, Shirakawa, Ken · 1 citation
#35K51 #35K55 #35K61 #35K67 #82C26 #Analysis of PDEs (math.AP) #FOS: Mathematics
- The critical window in activated random walk on the complete graph
2023/04/20 by Járai, Antal A., Mönch, Christian, Taggi, Lorenzo · 1 citation
#82C26 #FOS: Mathematics #Primary 82C22 #Probability (math.PR) #Secondary 60K35
- Peierls bounds from Toom contours
2022/02/22 by Swart, Jan M., Szabó, Réka, Toninelli, Cristina · 2 citations
#82C26 #FOS: Mathematics #Primary: 60K35 #Probability (math.PR) #Secondary: 37B15
- Exact sampling and fast mixing of Activated Random Walk
2021/10/26 by Levine, Lionel, Liang, Feng · 1 citation
#37A25 #60J10 #82C22 #82C24 #82C26 #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech)
- Essential enhancements in Abelian networks: continuity and uniform strict monotonicity
2020/03/02 by Lorenzo Taggi, Taggi, Lorenzo · 2 citations
Mathematics · Physics and Astronomy · #60K35 #82C22 #82C26 #Complex Network Analysis Techniques #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics
- Abelian oil and water dynamics does not have an absorbing-state phase transition
2019/01/24 by Candellero, Elisabetta, Stauffer, Alexandre, Taggi, Lorenzo · 1 citation
#60K35 #82C22 #82C26 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model
2018/11/01 by Luçon, Eric, Poquet, Christophe · 2 citations
#35K55 #35Q84 #37N25 #60K35 #82C26 #82C31 #92B20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
- Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a `deep quench' approach
2017/09/11 by Pierluigi Colli, Colli, Pierluigi, Gianni Gilardi +2 · 1 citation
Computer Science · Materials Science · #35K86 #49J20 #49K20 #74M15 #76R05 #80A22 #82C26 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Block Copolymer Self-Assembly #FOS: Mathematics #Optimization and Control (math.OC) #Solidification and crystal growth phenomena
- Optimal velocity control of a viscous Cahn-Hilliard system with\n convection and dynamic boundary conditions
2017/09/07 by Pierluigi Colli, Gianni Gilardi, Colli, Pierluigi +3 · 3 citations
Computer Science · Materials Science · Mathematics · #35K25 #35K61 #49J20 #49K20 #76R05 #80A22 #82C26 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Optimization and Control (math.OC) #Solidification and crystal growth phenomena
- A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions
2016/10/27 by Colli, Pierluigi, Gilardi, Gianni, Nakayashiki, Ryota +1 · 1 citation
#35K55 #35K59 #82C26 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Critical density of activated random walks on transitive graphs
2015/12/08 by Stauffer, Alexandre, Taggi, Lorenzo · 3 citations
#60K35 #82C22 #82C26 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Pulse generation with ultra-superluminal pulse propagation in semiconductor heterostructures by superradiant phase transition enhanced by transient coherent population gratings
2015/08/24 by Vasil'ev, Peter P., Penty, Richard V., White, Ian H. · 1 citation
#82C26 #FOS: Physical sciences #Optics (physics.optics) #Strongly Correlated Electrons (cond-mat.str-el)
- Absorbing-state transition for Stochastic Sandpiles and Activated Random\n Walks
2014/12/22 by Sidoravicius, Vladas, Teixeira, Augusto · 1 citation
Mathematics · Physics and Astronomy · #60K35 #82C20 #82C22 #82C26 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- A Brascamp-Lieb type covariance estimate
2014/02/20 by Menz, Georg · 1 citation
#82C26 #FOS: Mathematics #Primary 82B20 #Probability (math.PR) #secondary 60K35
- Well-posedness and longtime behavior for the modified phase-field crystal equation
2013/06/25 by Grasselli, Maurizio, Wu, Hao · 2 citations
#35Q82 #37L99 #74N05 #82C26 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Synchronization and random long time dynamics for mean-field plane rotators
2012/09/20 by Lorenzo Bertini, Bertini, Lorenzo, Giambattista Giacomin +3 · 1 citation
Physics and Astronomy · #37N25 #60K35 #82C26 #82C31 #92B20 #Adaptation and Self-Organizing Systems (nlin.AO) #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics and Entropy #stochastic dynamics and bifurcation
- Large deviations for a mean field model of systemic risk
2012/04/16 by Josselin Garnier, George Papanicolaou, Garnier, Josselin +3 · 3 citations
Economics, Econometrics and Finance · Mathematics · #60F10 #60K35 #82C26 #91B30 #Complex Systems and Time Series Analysis #FOS: Economics and business #FOS: Mathematics #Mathematical Biology Tumor Growth #Probability (math.PR) #Risk Management (q-fin.RM) #Stochastic processes and financial applications
- Metastability for Kawasaki dynamics at low temperature with two types of particles
2011/01/31 by W.Th.F. den Hollander, Francesca R. Nardi, Hollander, F. den +3 · 1 citation
Mathematics · Physics and Astronomy · #60K35 #82C26 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics