Results 71 to 80 of about 17,298,525 (250)
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 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
On Well-Posedness of Some Constrained Variational Problems
Mathematics, 2021 By considering the new forms of the notions of lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity of the considered scalar multiple integral functional, in this paper we study the well-posedness of a new class of variational ...
Savin Treanţă
doaj +1 more source
Advances in Nonlinear Analysis, 2019 The main goal of this work is to investigate the initial boundary value problem of nonlinear wave equation with weak and strong damping terms and logarithmic term at three different initial energy levels, i.e., subcritical energy E(0) < d, critical ...
W. Lian, Runzhang Xu
semanticscholar +1 more source
Well-posedness for the Cauchy Problem of the Modified Zakharov-Kuznetsov Equation [PDF]
Funkcialaj Ekvacioj, 2019 This paper is concerned with the Cauchy problem of the modified Zakharov-Kuznetsov equation on $\mathbb{R}^d$. If $d=2$, we prove the sharp estimate which implies local in time well-posedness in the Sobolev space $H^s(\mathbb{R}^2)$ for $s \geq 1/4$. If $
S. Kinoshita
semanticscholar +1 more source
UNCONDITIONAL WELL-POSEDNESS FOR WAVE MAPS [PDF]
Journal of Hyperbolic Differential Equations, 2012 We prove a uniqueness theorem for solutions to the wave map equation in the natural class, namely (u, ∂tu) ∈ C([0, T); Ḣd/2) × C1([0, T); Ḣd/2-1) in dimension d ≥ 4. This is achieved by estimating the difference of two solutions at a lower regularity level. In order to reduce to the Coulomb gauge, one has to localize the gauge change in suitable cones,
Planchon, Fabrice, Masmoudi, Nader
openaire +2 more sources
Well-posedness and scattering for the Zakharov system in four dimensions
, 2015 The Cauchy problem for the Zakharov system in four dimensions is considered. Some new well-posedness results are obtained. For small initial data, global well-posedness and scattering results are proved, including the case of initial data in the energy ...
Bejenaru, Ioan +3 more
core +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation
, 2007 We show a new Bernstein's inequality which generalizes the results of Cannone-Planchon, Danchin and Lemari\'{e}-Rieusset. As an application of this inequality, we prove the global well-posedness of the 2D quasi-geostrophic equation with the critical and ...
Chen, Qionglei +2 more
core +1 more source
Robust Linearization and Eigenvalue Analysis of General Complex Constrained Multibody Systems
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT The derivation of linearized equations and subsequent eigenvalue analysis is the basis for tasks such as frequency‐domain response analysis, control design, and stability assessment for mechanical systems. However, for general multibody systems with redundant or nonholonomic constraints, practical challenges persist in achieving numerically ...
Zhiwen Xiao, Gexue Ren
wiley +1 more source