ACMAC’s PrePrint Repository
نویسندگان
چکیده
By variational methods, we provide a simple proof of existence of a heteroclinic orbit to the Hamiltonian system u�� = ∇W (u) that connects the two global minima of a double-well potential W . Moreover, we consider several inhomogeneous extensions.
منابع مشابه
ACMAC’s PrePrint Repository Inversions of statistical parameters of an acoustic signal in range-dependent environments with applications in ocean acoustic tomography
Taroudakis, Michael and Smaragdakis, Costas (2012) Inversions of statistical parameters of an acoustic signal in range-dependent environments with applications in ocean acoustic tomography. Proceedings of the 11th Conference on Underwater Acoustics. This version is available at: http://preprints.acmac.uoc.gr/190/ Available in ACMAC’s PrePrint Repository: March 2013 ACMAC’s PrePrint Repository a...
متن کاملAdaptive Time-Frequency Detection and Filtering for Imaging in Heavy Clutter
Borcea, Liliana and Papanicolaou, George and Tsogka, Chrysoula (2011) Adaptive time-frequency detection and filtering for imaging in heavy clutter. SIAM Journal on Imaging Sciences, 4 (3). pp. 827-849. ISSN 19364954 This version is available at: http://preprints.acmac.uoc.gr/54/ Available in ACMAC’s PrePrint Repository: February 2012 ACMAC’s PrePrint Repository aim is to enable open access to t...
متن کاملACMAC’s PrePrint Repository Resonance phenomena in a singular perturbation problem in the case of exchange of stabilities
We consider the following singularly perturbed elliptic problem: ε∆u = (u− a(y)) (u− b(y)) in Ω, ∂u
متن کاملACMAC’s PrePrint Repository A Finite Volume Element Method for a Nonlinear Parabolic Problem
We study a finite volume element discretization of a nonlinear parabolic equation in a convex polygonal domain. We show existence of the discrete solution and derive error estimates in L2– and H –norms. We also consider a linearized method and provide numerical results to illustrate our theoretical findings.
متن کاملACMAC’s PrePrint Repository Global-in-time behavior of the solution to a Gierer-Meinhardt system
Gierer-Meinhardt system is a mathematical model to describe biological pattern formation due to activator and inhibitor. Turing pattern is expected in the presense of local self-enhancement and longrange inhibition. The long-time behavior of the solution, however, has not yet been clarified mathematically. In this paper, we study the case when its ODE part takes periodic-in-time solutions, that...
متن کامل