scientific article; zbMATH DE number 7350223

zbMath1465.35056MaRDI QIDQ4989046

Raffaele Folino

Publication date: 20 May 2021

Full work available at URL: https://www1.mat.uniroma1.it/ricerca/rendiconti/42_3-4_(2021)_253-270.html

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zbMATH Keywords

one space dimensionbalanced bistable reaction termmemory kernel of Jeffreys type

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Integro-partial differential equations (35R09)

Related Items (1)

On reaction-diffusion models with memory and mean curvature-type diffusion

Cites Work

• Unnamed Item
• A reaction-diffusion equation with memory
• The effect of a singular perturbation on nonconvex variational problems
• Travelling fronts in nonlinear diffusion equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Metastable dynamics for hyperbolic variations of the Allen-Cahn equation
• The gradient theory of phase transitions and the minimal interface criterion
• Slow-motion manifolds, dormant instability, and singular perturbations
• Kinetic schemes for assessing stability of traveling fronts for the Allen-Cahn equation with relaxation
• Exponentially slow motion of interface layers for the one-dimensional Allen-Cahn equation with nonlinear phase-dependent diffusivity
• Metastable patterns for a reaction-diffusion model with mean curvature-type diffusion
• Stability analysis for linear heat conduction with memory kernels described by Gamma functions
• Limiting behavior of strongly damped nonlinear wave equations
• Memory Driven Instability in a Diffusion Process
• Analytical and numerical investigation of traveling waves for the Allen–Cahn model with relaxation
• Slow motion for a hyperbolic variation of Allen–Cahn equation in one space dimension
• Bifurcation with Memory
• Invariant manifolds for metastable patterns in u_t = ε²u_xx—f(u)
• On the slowness of phase boundary motion in one space dimension
• Slow Motion in One-Dimensional Cahn–Morral Systems
• Metastable patterns in solutions of u_t = ϵ²u_xx − f(u)
• Slow motion for one-dimensional nonlinear damped hyperbolic Allen-Cahn systems
• Nonclassical diffusion with memory
• Slow dynamics for the hyperbolic Cahn‐Hilliard equation in one‐space dimension
• Lyapunov functionals for reaction-diffusion equations with memory

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