Stability of Traveling Waves for Reaction-Diffusion Equations with Multiplicative Noise
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Publication:5382440
DOI10.1137/17M1159518zbMath1414.35117arXiv1712.00266OpenAlexW2964146163WikidataQ128425415 ScholiaQ128425415MaRDI QIDQ5382440
C. H. S. Hamster, Hermen Jan Hupkes
Publication date: 14 June 2019
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.00266
Reaction-diffusion equations (35K57) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (12)
Exponential dichotomies for nonlocal differential operators with infinite range interactions ⋮ Traveling wave dynamics for Allen-Cahn equations with strong irreversibility ⋮ Stability of traveling waves for deterministic and stochastic delayed reaction-diffusion equation based on phase shift ⋮ Comments to `Stability of traveling waves for deterministic and stochastic delayed reaction-diffusion equation based on phase shift' ⋮ Dynamics of waves and patterns. Abstracts from the workshop held August 8--14, 2021 (hybrid meeting) ⋮ Travelling waves for reaction-diffusion equations forced by translation invariant noise ⋮ Asymptotic behaviors and stochastic traveling waves in stochastic Fisher-KPP equations ⋮ Stability of Traveling Waves for Systems of Reaction-Diffusion Equations with Multiplicative Noise ⋮ Stability of Traveling Waves on Exponentially Long Timescales in Stochastic Reaction-Diffusion Equations ⋮ Travelling waves in monostable and bistable stochastic partial differential equations ⋮ Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations ⋮ Wandering bumps in a stochastic neural field: a variational approach
Cites Work
- Unnamed Item
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- \(L^{2}\)-stability of traveling wave solutions to nonlocal evolution equations
- Traveling pulse solutions to Fitzhugh-Nagumo equations
- Calcul stochastique et problèmes de martingales
- SPDE in Hilbert space with locally monotone coefficients
- Mathematical methods for financial markets.
- Early-warning signs for pattern-formation in stochastic partial differential equations
- Nonlinear stability of time-periodic viscous shocks
- Existence and stability of travelling wave solutions of competition models. A degree theoretic approach
- On the stability of waves of nonlinear parabolic systems
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Brownian fluctuations of the interface in the \(D=1\) Ginzburg-Landau equation with noise
- Patterns and coherence resonance in the stochastic Swift-Hohenberg equation with Pyragas control: the Turing bifurcation case
- Numerical simulation of stochastic PDEs for excitable media
- Stability and instability in the Gray-Scott model: The case of equal diffusivities
- The scaling limit for a stochastic PDE and the separation of phases
- A concise course on stochastic partial differential equations
- A multiscale-analysis of stochastic bistable reaction-diffusion equations
- A General Framework for Stochastic Traveling Waves and Patterns, with Application to Neural Field Equations
- A Multiscale Analysis of Traveling Waves in Stochastic Neural Fields
- Computing Stochastic Traveling Waves
- Front Propagation in Stochastic Neural Fields
- Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves
- Stochastic Differential Equations in Infinite Dimensions
- Advanced Mathematical Methods for Finance
- Nonlinear Stability of Semidiscrete Shocks for Two-Sided Schemes
- A note on maximal estimates for stochastic convolutions
- Multi-dimensional stability of waves travelling through rectangular lattices in rational directions
- Front Interactions in a Three-Component System
- Bistable traveling waves around an obstacle
- First-passage-time density and moments of the ornstein-uhlenbeck process
- Propagation of frontal polymerization—crystallization waves
- Pointwise Green's function bounds and stability of relaxation shocks
- On the Existence and Stability of Fast Traveling Waves in a Doubly Diffusive FitzHugh--Nagumo System
- Analysis in Banach Spaces
- Entire solutions for bistable lattice differential equations with obstacles
- Stability of Traveling Waves for Systems of Reaction-Diffusion Equations with Multiplicative Noise
- Opening the Maslov box for traveling waves in skew-gradient systems: counting eigenvales and proving (in)stability
- A mild Itô formula for SPDEs
- Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields
- Multidimensional stability of planar travelling waves
- Representations of the First Hitting Time Density of an Ornstein-Uhlenbeck Process1
- Stochastic Equations in Infinite Dimensions
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