Weak and strong interaction of excitation kinks in scalar parabolic equations
DOI10.1007/s10884-021-10040-2zbMath1521.35111arXiv2012.00309OpenAlexW3189832666WikidataQ115383058 ScholiaQ115383058MaRDI QIDQ6132876
Dennis Ulbrich, Antoine Pauthier, Jens D. M. Rademacher
Publication date: 17 August 2023
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.00309
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Triggered fronts in the complex Ginzburg Landau equation
- Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations
- A Poincaré-Bendixson theorem for scalar reaction diffusion equations
- Colliding dissipative pulses -- the shooting manifold
- Separating dissipative pulses: the exit manifold
- Some rigorous results for the Greenberg-Hastings model
- Stability of travelling fronts in a model for flame propagation. II: Nonlinear stability
- On the stability of waves of nonlinear parabolic systems
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Normally hyperbolic invariant manifolds in dynamical systems
- Travelling fronts in cylinders
- Slow-motion manifolds, dormant instability, and singular perturbations
- Metastability of the Cahn-Hilliard equation in one space dimension
- Stability of concatenated traveling waves: alternate approaches
- Computing interacting multi-fronts in one dimensional real Ginzburg Landau equations
- The total variation of solutions of parabolic differential equations and a maximum principle in unbounded domains
- On the metastability of the \(1-d\) Allen-Cahn equation
- A remark on geometric desingularization of a non-hyperbolic point using hyperbolic space
- pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems
- The world of the complex Ginzburg-Landau equation
- Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
- Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part II: Generic nonlinearities
- The Dynamics of Rotating Waves in Scalar Reaction Diffusion Equations
- Coherent structures near the boundary between excitable and oscillatory media
- Multi-pulse evolution and space-time chaos in dissipative systems
- Freezing Multipulses and Multifronts
- The zero set of a solution of a parabolic equation.
- Pattern formation and periodic structures in systems modeled by reaction-diffusion equations
- Spatial Patterns for Discrete Models of Diffusion in Excitable Media
- Propagation of frontal polymerization—crystallization waves
- Large-time behavior of solutions of parabolic equations on the real line with convergent initial data
- Metastable patterns in solutions of ut = ϵ2uxx − f(u)
- The Java based cellular automata simulation system—JCASim
- Pulse Replication and Accumulation of Eigenvalues
- Propagating Terraces and the Dynamics of Front-Like Solutions of Reaction-Diffusion Equations on ℝ
- Dynamics and topological entropy of 1D Greenberg–Hastings cellular automata
- On the method of moving planes and the sliding method
- Topological Entropy
- Entropy for Group Endomorphisms and Homogeneous Spaces
- Invariant manifolds
- The motion of weakly interacting pulses in reaction-diffusion systems
This page was built for publication: Weak and strong interaction of excitation kinks in scalar parabolic equations
