Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Marangell, R."'
We establish spectral, linear, and nonlinear stability of the vanishing and slow-moving travelling waves that arise as time asymptotic solutions to the Fisher-Stefan equation. Nonlinear stability is in terms of the limiting equations that the asympto
Externí odkaz:
http://arxiv.org/abs/2402.10361
Publikováno v:
In Physica D: Nonlinear Phenomena December 2024 470 Part A
Autor:
Clarke, W. A., Marangell, R.
We study the modulational stability of periodic travelling wave solutions to equations of nonlinear Schr\"odinger type. In particular, we prove that the characteristics of the quasi-linear system of equations resulting from a slow modulation approxim
Externí odkaz:
http://arxiv.org/abs/2011.09656
Autor:
Harley, K. E., van Heijster, P., Marangell, R., Pettet, G. J., Roberts, T. V., Wechselberger, M.
We examine the spectral stability of travelling waves of the haptotaxis model studied in Harley et al (2014a). In the process we apply Li\'enard coordinates to the linearised stability problem and use a Riccati-transform/Grassmanian spectral shooting
Externí odkaz:
http://arxiv.org/abs/1902.06446
In this manuscript, we prove the existence of slow and fast traveling wave solutions in the original Gatenby--Gawlinski model. We prove the existence of a slow traveling wave solution with an interstitial gap. This interstitial gap has previously bee
Externí odkaz:
http://arxiv.org/abs/1807.10431
We investigate the point spectrum associated with travelling wave solutions in a Keller-Segel model for bacterial chemotaxis with small diffusivity of the chemoattractant, a logarithmic chemosensitivity function and a constant, sublinear or linear co
Externí odkaz:
http://arxiv.org/abs/1711.11226
We investigate the spectral stability of travelling wave solutions in a Keller-Segel model of bacterial chemotaxis with a logarithmic chemosensitivity function and a constant, sublinear, and linear consumption rate. Linearising around the travelling
Externí odkaz:
http://arxiv.org/abs/1608.05480
We demonstrate a geometrically inspired technique for computing Evans functions for the linearised operators about travelling waves. Using the examples of the F-KPP equation and a Keller-Segel model of bacterial chemotaxis, we produce an Evans functi
Externí odkaz:
http://arxiv.org/abs/1312.3685
A nonlinear Schr\"odinger equation with repulsive (defocusing) nonlinearity is considered. As an example, a system with a spatially varying coefficient of the nonlinear term is studied. The nonlinearity is chosen to be repelling except on a finite in
Externí odkaz:
http://arxiv.org/abs/1204.2345
A periodically inhomogeneous Schrodinger equation is considered. The inhomogeneity is reflected through a non-uniform coefficient of the linear and non-linear term in the equation. Due to the periodic inhomogeneity of the linear term, the system may
Externí odkaz:
http://arxiv.org/abs/1201.2863