Corrado Mascia

Pubblicazioni

Titolo Pubblicato in Anno
Numerical Investigation of Some Reductions for the Gatenby–Gawlinski Model AXIOMS 2024
Shock profiles for hydrodynamic models for fluid-particles flows in the flowing regime PHYSICA D-NONLINEAR PHENOMENA 2024
Numerical Computation of the Wave Speed for Hyperbolic Reaction-Diffusion Equations HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022 2024
Shock profiles for fluid-particles flows HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL I, HYP2022 2024
Tidal drag and westward drift of the lithosphere GEOSCIENCE FRONTIERS 2023
Periodic Solutions of Quasi-Monotone Semilinear Multidimensional Hyperbolic Systems AXIOMS 2023
Propagating fronts for a viscous Hamer-type system DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2022
Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS 2022
Phase transitions of biological phenotypes by means of a prototypical PDE model COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS 2020
Numerical evidences of almost convergence of wave speeds for the Burridge– Knopoff model by means of a space-averaged wave speed estimate SN APPLIED SCIENCES 2020
Motion of interfaces for a damped hyperbolic Allen-Cahn equation COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 2020
Kinetic schemes for assessing stability of traveling fronts for the Allen-Cahn equation with relaxation APPLIED NUMERICAL MATHEMATICS 2019
Metastability and Layer Dynamics for the Hyperbolic Relaxation of the Cahn–Hilliard Equation JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 2019
Slow dynamics for the hyperbolic Cahn-Hilliard equation in one-space dimension MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2019
Chorin's approaches revisited: vortex particle method vs finite volume method ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 2019
Systems biology approach and mathematical modeling for analyzing phasespace switch during epithelial-mesenchymal transition Systems biology 2018
BIOMAT 1.0 BIOMAT 1.0 2018
Lp-Lq decay estimates for dissipative linear hyperbolic systems in 1d Theory, Numerics and Applications of Hyperbolic Problems II 2018
Analysis of a Mogi-type model describing surface deformations induced by a magma chamber embedded in an elastic half-space JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES 2017
Lp-Lq decay estimates for dissipative linear hyperbolic systems in 1D JOURNAL OF DIFFERENTIAL EQUATIONS 2017

ERC

  • PE1
  • PE1_10
  • PE1_11
  • PE1_21

Interessi di ricerca

Area: Evolutive partial differential equations.

General aim: understanding and description of dynamical properties generated by the interaction of terms corresponding to physical, chemical and biological phenomena (reaction, diffusion, convection, chemotaxis...)

Specifically, the main research directions are:

- Conservation laws: asymptotic behavior, stability and instability, singular limits

- Evolution equations: well-posedness, formation of discontinuities, front propagation

- Differential models: radiating gases, phase transitions, shallow water

- Biomathematics: tumor growth, chemotaxis, invasive fronts

Keywords

PARTIAL DIFFERENTIAL EQUATIONS
dynamical evolution and stability
singular perturbations
traveling wave solutions
asymptotic behavior for large times

Progetti di Ricerca

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