Luca Scarpa
- On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport
2021/05/01 by Luca Scarpa, Andrea Signori · 2 citations
Engineering · Materials Science · Mathematics · #Mathematical Biology Tumor Growth #Solidification and crystal growth phenomena #Thermoelastic and Magnetoelastic Phenomena
- On the positivity of local mild solutions to stochastic evolution equations
2019/12/31 by Carlo Marinelli, Luca Scarpa, Marinelli, Carlo +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · #Stochastic processes and financial applications #advanced mathematical theories #Financial Risk and Volatility Modeling
- Random separation property for stochastic Allen-Cahn-type equations
2021/10/13 by Federico Bertacco, Carlo Orrieri, Bertacco, Federico +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Probability (math.PR) #Stochastic processes and statistical mechanics
- A stochastic Allen-Cahn-Navier-Stokes system with singular potential
2022/05/21 by Andrea Di Primio, Di Primio, Andrea, Maurizio Grasselli +3 · 1 citation
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR) #Solidification and crystal growth phenomena #Stochastic processes and statistical mechanics
- Degenerate Kolmogorov equations and ergodicity for the stochastic Allen-Cahn equation with logarithmic potential
2022/06/20 by Luca Scarpa, Scarpa, Luca, Margherita Zanella +1 · 1 citation
Economics, Econometrics and Finance · Materials Science · Mathematics · #35J70 #37A25 #37L40 #47D07 #47H06 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR) #Solidification and crystal growth phenomena #Stochastic processes and financial applications #Stochastic processes and statistical mechanics
- Strict separation and numerical approximation for a non-local Cahn-Hilliard equation with single-well potential
2023/06/27 by Abramo Agosti, Elisabetta Rocca, Agosti, Abramo +3 · 1 citation
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA) #Solidification and crystal growth phenomena
- Local asymptotics and optimal control for a viscous Cahn-Hilliard-Reaction-Diffusion model for tumor growth
2023/11/17 by Elisa Davoli, Davoli, Elisa, Elisabetta Rocca +5 · 1 citation
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Solidification and crystal growth phenomena #Differential Equations and Numerical Methods
- Well-posedness of monotone semilinear SPDEs with semimartingale noise
2018/05/19 by Carlo Marinelli, Luca Scarpa, Marinelli, Carlo +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Probability (math.PR) #Stochastic processes and financial applications
- Stochastic Cahn-Hilliard and conserved Allen-Cahn equations with logarithmic potential and conservative noise
2023/09/08 by Andrea Di Primio, Di Primio, Andrea, Maurizio Grasselli +3 · 1 citation
Computer Science · Materials Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Solidification and crystal growth phenomena #Stochastic processes and statistical mechanics
- Stochastic phase separation driven by transport noise
2026/07/27 by Andrea Di Primio, Andrea Papini, Luca Scarpa
#math.AP #math.PR