Heteroclinic travelling waves of gradient diffusion systems
From MaRDI portal
Publication:3085129
DOI10.1090/S0002-9947-2010-04987-6zbMath1227.35119arXiv0712.2800MaRDI QIDQ3085129
Nicholas D. Alikakos, Nikolaos I. Katzourakis
Publication date: 28 March 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.2800
Related Items (7)
The heteroclinic connection problem for general double-well potentials ⋮ A Degenerate Isoperimetric Problem and Traveling Waves to a Bistable Hamiltonian System ⋮ Maximum principles for vectorial approximate minimizers of nonconvex functionals ⋮ Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian ⋮ A variational approach to three-phase traveling waves for a gradient system ⋮ On the loss of compactness in the vectorial heteroclinic connection problem ⋮ Spectra of functionalized operators arising from hypersurfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A variational proof of global stability for bistable travelling waves.
- Existence of traveling waves of invasion for Ginzburg-Landau-type problems in infinite cylinders
- Long time behavior of solutions of bistable nonlinear diffusion equations
- Geometric theory of semilinear parabolic equations
- A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
- Vector-valued local minimizers of nonconvex variational problems
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Normal solvability of linear elliptic problems
- A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type
- Traveling waves with paraboloid like interfaces for balanced bistable dynamics
- Global convergence toward traveling fronts in nonlinear parabolic systems with a gradient structure
- Variational Principles for Propagation Speeds in Inhomogeneous Media
- On the connection problem for potentials with several global minima
- Heteroclinic connections for multiple-well potentials: the anisotropic case
- Periodic traveling waves and locating oscillating patterns in multidimensional domains
- Explicit stationary solutions in multiple well dynamics and non-uniqueness of interfacial energy densities
- Riemannian geometry
This page was built for publication: Heteroclinic travelling waves of gradient diffusion systems
