Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, II
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Publication:4033776
DOI10.1080/03605309208820908zbMath0789.35020OpenAlexW4238101061MaRDI QIDQ4033776
C. David Levermore, Jack X. Xin
Publication date: 16 May 1993
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309208820908
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Front propagation in periodic excitable media ⋮ Multidimensional stability of V-shaped traveling fronts in bistable reaction-diffusion equations with nonlinear convection ⋮ Curvature-driven front propagation through planar lattices in oblique directions ⋮ Stability of radially symmetric travelling waves in reaction-diffusion equations ⋮ Multi-dimensional stability of waves travelling through rectangular lattices in rational directions ⋮ A Luenberger observer for reaction-diffusion models with front position data ⋮ Stability of planar waves in a Lotka-Volterra system ⋮ Stability of planar waves in the buffered bistable system ⋮ Existence, uniqueness and stability of transition fronts of non-local equations in time heterogeneous bistable media ⋮ V-shaped traveling fronts of fractional Allen–Cahn equations ⋮ Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations ⋮ Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems ⋮ Traveling wave front and stability as planar wave of reaction diffusion equations with nonlocal delays ⋮ Stability of planar traveling fronts in bistable reaction-diffusion systems ⋮ Stability of travelling waves in a model for conical flames in two space dimensions ⋮ Long time behavior of entire solutions to bistable reaction diffusion equations ⋮ Nonlinear stability of traveling wave fronts for delayed reaction diffusion systems ⋮ Stability of line solitons for the KP-II equation in ℝ² ⋮ Multidimensional stability of planar traveling waves for the delayed nonlocal dispersal competitive Lotka-Volterra system ⋮ Uniqueness and stability properties of monostable pulsating fronts ⋮ Qualitative properties of monostable pulsating fronts: Exponential decay and monotonicity ⋮ Stability of Front Solutions of the Bidomain Allen–Cahn Equation on an Infinite Strip ⋮ Stability of planar traveling waves for a class of Lotka-Volterra competition systems with time delay and nonlocal reaction term ⋮ Planar Propagating Terraces and the Asymptotic One-dimensional Symmetry of Solutions of Semilinear Parabolic Equations ⋮ Periodic traveling curved fronts in reaction-diffusion equation with bistable time-periodic nonlinearity ⋮ Bistable transition fronts in \(\mathbb{R}^N\) ⋮ The Phase Shift of Line Solitons for the KP-II Equation ⋮ Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on \(\mathbb{R}^n\) ⋮ Large time behavior of disturbed planar fronts in the Allen-Cahn equation ⋮ Multidimensional stability of V-shaped traveling fronts in the Allen-Cahn equation ⋮ Fast propagation for KPP equations with slowly decaying initial conditions ⋮ Traveling waves in time almost periodic structures governed by bistable nonlinearities. 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Cites Work
- Asymptotic behaviour of a reaction-diffusion equation in higher space dimensions
- Nonlinear asymptotic stability of viscous shock profiles for conservation laws
- On the stability of waves of nonlinear parabolic systems
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
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