Corner defects in almost planar interface propagation
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Publication:2490929
DOI10.1016/j.anihpc.2005.03.003zbMath1098.35085OpenAlexW2145252575MaRDI QIDQ2490929
Publication date: 18 May 2006
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2006__23_3_283_0
Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57)
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Cites Work
- Unnamed Item
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- Stability of fast travelling pulse solutions of the FitzHugh-Nagumo equations
- Singular perturbation theory of traveling waves in excitable media (A review)
- Geometric theory of semilinear parabolic equations
- On the stability of waves of nonlinear parabolic systems
- The bifurcations of separatrix contours and chaos
- On the stability of travelling waves in weighted \(L^ \infty\) spaces
- Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts
- Dynamics of spiral waves on unbounded domains using center-manifold reductions
- Front propagation into unstable states
- Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
- Absolute and convective instabilities of waves on unbounded and large bounded domains
- Stability and instability in the Gray-Scott model: The case of equal diffusivities
- Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
- Wave-solutions of reversible systems and applications
- Asymptotic stability of traveling wave solutions for perturbations with algebraic decay.
- Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
- Essential instabilities of fronts: bifurcation, and bifurcation failure
- On the Structure of Spectra of Modulated Travelling Waves
- Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations
- The dynamics of modulated wave trains
- Stability of the Travelling Wave Solution of the Fitzhugh-Nagumo System
- Reduction of quasilinear elliptic equations in cylindrical domains with applications
- Exponential Dichotomies and Fredholm Operators
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- Pulsations in a Burner-Stabilized Premixed Plane Flame
- Travelling-waves of the Kuramoto-Sivashinsky, equation: period-multiplying bifurcations
- ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
- Convergence of the phase field model to its sharp interface limits
- Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
- Stability of travelling waves for non‐convex scalar viscous conservation laws
- Radially symmetric patterns of reaction-diffusion systems
- Propagation of hexagonal patterns near onset
- Solutions of Semilinear Elliptic Equations in with Conical&Shaped Level Sets
- Exact Homoclinic and Heteroclinic Solutions of the Gray--Scott Model for Autocatalysis
- On the semi–classical limit for the focusing nonlinear Schrödinger equation: sensitivity to analytic properties of the initial data
- Defects in Oscillatory Media: Toward a Classification
- Existence of Nonplanar Solutions of a Simple Model of Premixed Bunsen Flames
- Asymptotic behavior of multidimensional scalar viscous shock fronts
- Stability of travelling waves in a model for conical flames in two space dimensions
- Multidimensional stability of planar travelling waves
- Invariant manifolds in singular perturbation problems for ordinary differential equations
- On the stability of periodic travelling waves with large spatial period
- Advances in the theory of shock waves
- Spatio-temporal chaos for the Gray-Scott model
- Internal layers intersecting the boundary of domain in the Allen-Cahn equation
- Traveling and spiral waves for sequential flames with translation symmetry: coupled CGL-Burgers equations
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