Results 41 to 50 of about 18,832,328 (177)
On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley +1 more source
Local ill-posedness of the 1D Zakharov system
Electronic Journal of Differential Equations, 2007 Ginibre-Tsutsumi-Velo (1997) proved local well-posedness for the Zakharov system$$displaylines{ ipartial_tu + Delta u = nu cr partial_t^2 n - Delta n = Delta |u|^2 cr u(x,0)=u_0(x), cr n(x,0)=n_0(x), quad partial_tn(x,0)=n_1(x)}$$ where $u=u(x,t)in ...
Justin Holmer
doaj
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos +3 more
wiley +1 more source
Power series solution for the modified KdV equation
Electronic Journal of Differential Equations, 2008 We use the method developed by Christ [3] to prove local well-posedness of a modified Korteweg de Vries equation in $mathcal{F}L^{s,p}$ spaces.
Tu Nguyen
doaj
Local Well-posedness of a Nutku-Oguz-Burgers System With Time Dependent Coefficients
Selecciones Matemáticas, 2018 In this paper we study the local well-posedness of the initial value problem for a Nutku-Oguz-Burgers system with time dependent coefficients, formed by two Korteweg-de Vries equations coupled through the non-linear terms.
Juan Montealegre, Gladys Cruz
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Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
wiley +1 more source
Local well-posedness for the two-component Benjamin-Ono equation
Advances in Nonlinear AnalysisThe Cauchy problem for the two-component Benjamin-Ono equation is considered. It is shown that this problem is local well-posed in Hs(R)×Hs(R){H}^{s}\left({\mathbb{R}})\times {H}^{s}\left({\mathbb{R}}) for any s>9⁄8s\gt 9/8.
Zhao Min
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Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr +3 more
wiley +1 more source
Electronic Journal of Differential Equations, 2017 In this article we prove the local well-posedness for an Ericksen-Leslie's parabolic-hyperbolic compressible non-isothermal model for nematic liquid crystals with positive initial density.
Jishan Fan, Tohru Ozawa
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Gevrey Regularity and Local Well-Posedness for the HirotaSatsuma System
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we examine the local well-posedness of the initial value problem for the HirotaSatsuma system within Gevrey spaces. This system, which consists of a coupled nonlinear dispersive partial differential equation, models the interactions ...
Boudersa Feriel +2 more
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