Bifurcations of front motion in passive and active Allen–Cahn-type equations
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Publication:3303886
DOI10.1063/5.0003271zbMath1445.35039arXiv2002.00777OpenAlexW3003365987WikidataQ96119927 ScholiaQ96119927MaRDI QIDQ3303886
Uwe Thiele, Fenna Stegemerten, Svetlana V. Gurevich
Publication date: 4 August 2020
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.00777
Initial value problems for second-order parabolic equations (35K15) Bifurcations in context of PDEs (35B32) Semilinear parabolic equations (35K58)
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Uses Software
Cites Work
- Unnamed Item
- Pattern propagation in nonlinear dissipative systems
- Travelling fronts in nonlinear diffusion equations
- Multidimensional nonlinear diffusion arising in population genetics
- Front propagation into unstable states
- Computational modelling of bifurcations and instabilities in fluid dynamics
- Phase separation patterns from directional quenching
- Absolute and convective instabilities, front velocities and global modes in nonlinear systems
- Patterns and interfaces in dissipative dynamics. With a foreword by Y. Pomeau
- pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems
- Complex Dynamics and Morphogenesis
- Bifurcations of front motion in passive and active Allen–Cahn-type equations
- Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen--Cahn Equation
- Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems
- INTERIOR TRANSITION LAYERS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH A SMALL PARAMETER
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
- A Simple Proof of the Fredholm Alternative and a Characterization of the Fredholm Operators
- Numerical Bifurcation Methods and their Application to Fluid Dynamics: Analysis beyond Simulation
- Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
