Speed-up of combustion fronts in shear flows
From MaRDI portal
Publication:2376880
DOI10.1007/s00208-012-0877-yzbMath1283.35081arXiv1112.3199OpenAlexW2161937671MaRDI QIDQ2376880
Publication date: 26 June 2013
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.3199
shear flowsreaction-diffusion-advectioncombustion frontstraveling frontsignition temperatureHörmander-type condition
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Combustion (80A25) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items (11)
The effect of a line with nonlocal diffusion on Fisher-KPP propagation ⋮ Stirring speeds up chemical reaction ⋮ Speed-up of traveling waves by negative chemotaxis ⋮ Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion ⋮ Brownian fluctuations of flame fronts with small random advection ⋮ The Role of Advection in a Two-Species Competition Model: A Bifurcation Approach ⋮ Curved fronts in a shear flow: case of combustion nonlinearities ⋮ Front propagation directed by a line of fast diffusion: large diffusion and large time asymptotics ⋮ The speed of traveling waves in a FKPP-Burgers system ⋮ A functional approach towards eigenvalue problems associated with incompressible flow ⋮ Slow and fast minimal speed traveling waves of the FKPP equation with chemotaxis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness and stability properties of monostable pulsating fronts
- The speed of propagation for KPP reaction-diffusion equations within large drift
- Reaction-diffusion front speed enhancement by flows
- Sharp asymptotics for KPP pulsating front speed-up and diffusion enhancement by flows
- Boundary layers and KPP fronts in a cellular flow
- Multi-dimensional travelling-wave solutions of a flame propagation model
- Min-Max formulae for the speeds of pulsating travelling fronts in periodic excitable media
- Stability of travelling fronts in a model for flame propagation. I: Linear analysis
- Stability of travelling fronts in a model for flame propagation. II: Nonlinear stability
- Existence of planar flame fronts in convective-diffusive periodic media
- Hypoelliptic differential operators and nilpotent groups
- Multidimensional nonlinear diffusion arising in population genetics
- On the uniqueness of multidimensional travelling fronts of some semilinear equations
- Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders
- Min-max formulas for the speeds of multidimensional progressive waves
- Bulk burning rate in passive-reactive diffusion
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- The speed of propagation for KPP type problems. I: Periodic framework
- Travelling fronts in cylinders
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Generalized traveling waves in disordered media: existence, uniqueness, and stability
- Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena
- Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity
- KPP pulsating front speed-up by flows
- Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media
- Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
- Variational Principles for Propagation Speeds in Inhomogeneous Media
- How travelling waves attract the solutions of KPP-type equations
- Pulsating travelling fronts: Asymptotics and homogenization regimes
- Convection Enhanced Diffusion for Periodic Flows
- A Parabolic Equation of the KPP Type in Higher Dimensions
- Front Propagation in Heterogeneous Media
- Gradient Estimates for Elliptic Regularizations of Semilinear Parabolic and Degenerate Elliptic Equations
- Front propagation in periodic excitable media
- The Harnack Inequality for a Class of Degenerate Elliptic Operators
- On the method of moving planes and the sliding method
- Enhancement of the traveling front speeds in reaction-diffusion equations with advection
This page was built for publication: Speed-up of combustion fronts in shear flows