Results 51 to 60 of about 14,824,467 (223)
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
α-Well-Posedness for Quasivariational Inequality Problems
Abstract and Applied Analysis, 2012 We introduce and study the concepts of α-well-posedness and L-α-well-posedness for quasivariational inequality problems having a unique solution and the concepts of α-well-posedness in the generalized sense and L-α-well-posedness in the generalized ...
Jian Wen Peng, Jing Tang
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Well-posedness of time-fractional advection-diffusion-reaction equations [PDF]
Fractional Calculus and Applied Analysis, 2018 We establish the well-posedness of an initial-boundary value problem for a general class of linear time-fractional, advection-diffusion-reaction equations, allowing space- and time-dependent coefficients as well as initial data that may have low ...
W. McLean +3 more
semanticscholar +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan +3 more
wiley +1 more source
Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation
AIMS Mathematics, 2021 The task of our work is to consider the initial value problem based on the model of the generalized Kadomtsev-Petviashvili I equation and prove the local well-posedness in an anisotropic Gevrey spaces and then global well-posedness which improves the ...
Aissa Boukarou +3 more
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Local well-posedness of isentropic compressible Navier–Stokes equations with vacuum [PDF]
Communications in Mathematical Sciences, 2019 In this paper, the local well-posedness of strong solutions to the Cauchy problem of the isentropic compressible Navier-Stokes equations is proved with the initial date being allowed to have vacuum.
Huajun Gong +3 more
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Attractors for an Energy‐Damped Viscoelastic Plate Equation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso +3 more
wiley +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
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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
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