Slow dynamics in reaction–diffusion systems
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Publication:2816237
DOI10.3233/ASY-161364zbMath1342.35152arXiv1606.07641OpenAlexW2962758085MaRDI QIDQ2816237
Publication date: 4 July 2016
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.07641
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20)
Related Items (9)
Slow motion for one-dimensional nonlinear damped hyperbolic Allen-Cahn systems ⋮ Metastability for nonlinear convection-diffusion equations ⋮ How hysteresis produces discontinuous patterns in degenerate reaction–diffusion systems ⋮ Stability properties and dynamics of solutions to viscous conservation laws with mean curvature operator ⋮ Heteroclinic traveling fronts for reaction-convection-diffusion equations with a saturating diffusive term ⋮ Long time dynamics of layered solutions to the shallow water equations ⋮ On the speed rate of convergence of solutions to conservation laws with nonlinear diffusions ⋮ Semigroup estimates and fast-slow dynamics in parabolic-hyperbolic systems ⋮ A note on the slow convergence of solutions to conservation laws with mean curvature diffusions
Cites Work
- Unnamed Item
- Slow motion for gradient systems with equal depth multiple-well potentials
- Generation, propagation, and annihilation of metastable patterns
- Dobrushin states in the \(\phi^4_1\) model
- Convergence to steady state of solutions of Burgers' equation
- Stable transition layers in a semilinear boundary value problem
- Slow motion for the Cahn-Hilliard equation in one space dimension
- Vector-valued local minimizers of nonconvex variational problems
- Generation and propagation of interfaces for reaction-diffusion equations
- Boundary and interior transition layer phenomena for pairs of second- order differential equations
- Stationary layered solutions in \(\mathbb{R}^ 2\) for an Allen-Cahn system with multiple well potential
- Slow-motion manifolds, dormant instability, and singular perturbations
- On the motion of viscous shocks and the supersensitivity of their steady- state limits
- Critical spectrum and stability of interfaces for a class of reaction-diffusion equations
- Slow motion of internal shock layers for the Jin-Xin system in one space dimension
- Slow motion of gradient flows
- Stability of viscous shocks on finite intervals
- Global convergence toward traveling fronts in nonlinear parabolic systems with a gradient structure
- Transition layers in singular perturbation problems
- Metastability for Nonlinear Parabolic Equations with Application to Scalar Viscous Conservation Laws
- Metastable dynamics of internal interfaces for a convection-reaction-diffusion equation
- Front migration in the nonlinear Cahn-Hilliard equation
- On the connection problem for potentials with several global minima
- On a nonlinear eigenvalue problem occurring in population genetics
- Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations
- The zero set of a solution of a parabolic equation.
- Elliptic Problems Involving Phase Boundaries Satisfying a Curvature Condition
- Multiple Solutions of Two-Point Boundary Value Problems of Neumann Type with a Small Parameter
- Waves in Excitable Media
- Invariant manifolds for metastable patterns in ut = ε2uxx—f(u)
- On the slowness of phase boundary motion in one space dimension
- Phase transitions and generalized motion by mean curvature
- Metastability for a generalized Burgers equation with applications to propagating flame fronts
- Spectrum for the allen-chan, chan-hillard, and phase-field equations for generic interfaces
- Slow Motion in One-Dimensional Cahn–Morral Systems
- Shock Layer Movement for Burgers’ equation
- Fast-slow dynamics for parabolic perturbations of conservation laws
- Metastable patterns in solutions of ut = ϵ2uxx − f(u)
- The generation and propagation of internal layers
- On the exponentially slow motion of a viscous shock
- Development of interfaces in ℝN
- Slow motion in higher-order systems and \(\Gamma\)-convergence in one space dimension
- Metastability in a flame front evolution equation
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