Results 51 to 60 of about 59,515 (231)
Dynamical Analysis of an HIV Infection Model Including Quiescent Cells and Immune Response
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This research gives a thorough examination of a human immunodeficiency virus (HIV) infection model that includes quiescent cells and immune response dynamics in the host. The model, represented by a system of ordinary differential equations, captures the complex interaction between the host's immune response and viral infection.
Ibrahim Nali +3 more
wiley +1 more source
Well posedness of balance laws with boundary
Journal of Mathematical Analysis and Applications, 2005 The article refers to a class of initial boundary value problems for a nonlinear system of balance laws. The well posedness of the system is proved under the assumptions that a conservation law with boundary -- actually a generalized Riemann problem -- and a differential equation containing the source term are well posed and compatible to each other ...
COLOMBO, Rinaldo Mario +1 more
openaire +5 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley +1 more source
Generic well posedness of supinf problems [PDF]
Bulletin of the Australian Mathematical Society, 1996 We consider two notions of well posedness for problems of the type and give conditions under which the majority (in Baire category sense) of bounded functions f defined in X × Y give rise to problems which are well posed. As a corollary we get that the problem is well posed for the majority of bounded lsc real valued functions f if, and only if, X ...
P. S. Kenderov, LUCCHETTI, ROBERTO
openaire +4 more sources
Reference Tracking and Disturbance Rejection for Nonlinear Systems Using LPV Control
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The Linear Parameter‐Varying (LPV) framework has been introduced with the intention to provide stability and performance guarantees for analysis and controller synthesis for Nonlinear (NL) systems through convex methods. By extending results of the Linear Time‐Invariant framework, mainly based on quadratic stability and performance using ...
Patrick J. W. Koelewijn +3 more
wiley +1 more source
Almost optimal local well-posedness for modified Boussinesq equations
Electronic Journal of Differential Equations, 2020 In this article, we investigate a class of modified Boussinesq equations, for which we provide first an alternate proof of local well-posedness in the space $(H^s\cap L^\infty)\times (H^s\cap L^\infty)(\mathbb{R})$ ($s\geq 0$) to the one obtained by
Dan-Andrei Geba, Bai Lin
doaj
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT We review some known bounds on the eigenvalues of a matrix and use similar techniques to derive bounds for the class of nonlinear eigenproblems and, as a special case, the eigenvalues for LTI systems with delays. We present two classes of results.
Erik I. Verriest
wiley +1 more source
Stability of energy-critical nonlinear Schrodinger equations in high dimensions
Electronic Journal of Differential Equations, 2005 We develop the existence, uniqueness, continuity, stability, and scattering theory for energy-critical nonlinear Schrodinger equations in dimensions $n geq 3$, for solutions which have large, but finite, energy and large, but finite, Strichartz norms ...
Terence Tao, Monica Visan
doaj
Direct Data‐Driven State‐Feedback Control of Linear Parameter‐Varying Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT The framework of linear parameter‐varying (LPV) systems has shown to be a powerful tool for the design of controllers for complex nonlinear systems using linear tools. In this work, we derive novel methods that allow us to synthesize LPV state‐feedback controllers directly from only a single sequence of data and guarantee stability and ...
Chris Verhoek +2 more
wiley +1 more source
On the well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces
, 2009 In this paper, we prove the local well-posedness for the Ideal MHD equations in the Triebel-Lizorkin spaces and obtain blow-up criterion of smooth solutions.
C. Fefferman +23 more
core +1 more source