Results 21 to 30 of about 18,044,700 (176)

On the well-posedness of weakly hyperbolic equations with time-dependent coefficients [PDF]

, 2012
30.10.12 KB.
Garetto, Claudia, Garetto, C, Claudia Garetto, Claudia Garetto (1253247), Ruzhansky, M, Michael Ruzhansky (7160006), Ruzhansky, Michael, Michael Ruzhansky   +7 more
core   +1 more source

Global Well-Posedness for Coupled System of mKdV Equations in Analytic Spaces

Journal of Function Spaces, 2021
The main result in this paper is to prove, in Bourgain type spaces, the existence of unique local solution to system of initial value problem described by integrable equations of modified Korteweg-de Vries (mKdV) by using linear and trilinear estimates ...
Khaled Zennir, Aissa Boukarou, Rehab Nasser Alkhudhayr   +2 more
doaj   +1 more source

Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics

Forum of Mathematics, Sigma
This paper is devoted to the global analysis of the three-dimensional axisymmetric Navier–Stokes–Maxwell equations. More precisely, we are able to prove that, for large values of the speed of light $c\in (c_0, \infty )$ , for some threshold ...
Diogo Arsénio, Zineb Hassainia, Haroune Houamed   +2 more
doaj   +1 more source

Global Well-Posedness of the Dissipative Quasi-Geostrophic Equation with Dispersive Forcing

Axioms, 2022
The dissipative quasi-geostrophic equation with dispersive forcing is considered. By striking new balances between the dispersive effects of the dispersive forcing and the smoothing effects of the viscous dissipation, we obtain the global well-posedness ...
Jinyi Sun, Lingjuan Zou
doaj   +1 more source

Remarks on the critical nonlinear high-order heat equation [PDF]

Arab Journal of Mathematical Sciences, 2020
The initial value problem for a semi-linear high-order heat equation is investigated. In the focusing case, global well-posedness and exponential decay are obtained. In the focusing sign, global and non global existence of solutions are discussed via the
Tarek Saanouni
doaj   +1 more source

Global Well-Posedness for a Class of Kirchhoff-Type Wave System

Advances in Mathematical Physics, 2017
In recent years, the small initial boundary value problem of the Kirchhoff-type wave system attracts many scholars’ attention. However, the big initial boundary value problem is also a topic of theoretical significance.
Xiaoli Jiang, Xiaofeng Wang
doaj   +1 more source

Deep‐Learning‐Driven High‐Fidelity In Vivo Hyperspectral Fluorescence Imaging Under Extreme Photon‐Limited Conditions

Advanced Science, EarlyView.
Highly overlapping fluorescent signals become distinguishable in photon‐limited living organisms via advanced imaging with intelligent reconstruction. The resulting in vivo hyperspectral imaging capability reveals nanoplastic uptake and circulation in live zebrafish, providing a new approach for studying complex biological and environmental processes ...
Renjian Li, Shutao Wu, Kaixiang Li, Zhenyu An, Yuwen Ben, Guiye LI, Sunil Kumar, James Mcginty, Tawfique Hasan, Songnian Fu, Meng Zhang, LingLing Chen   +11 more
wiley   +1 more source

Concerning the pathological set in the context of probabilistic well-posedness

Comptes Rendus. Mathématique, 2021
We prove a complementary result to the probabilistic well-posedness for the nonlinear wave equation. More precisely, we show that there is a dense set $S$ of the Sobolev space of super-critical regularity such that (in sharp contrast with the ...
Sun, Chenmin, Tzvetkov, Nikolay
doaj   +1 more source

Explicit Methods for Inverse Source Identification in Transient Diffusion via Truncated Eigenfunction Regularization of Temperature Measurements

Heat Transfer, EarlyView.
ABSTRACT This work presents and compares two explicit approaches for estimating space‐ and time‐dependent source terms in parabolic diffusion equations, derived from analytical solutions obtained through the Classical Integral Transform Technique (CITT).
André J. P. de Oliveira, Diego C. Knupp, Luiz A. S. Abreu, Mousa J. Huntul, David A. Pelta, Antônio J. da Silva Neto   +5 more
wiley   +1 more source

Global and non global solutions for a class of coupled parabolic systems

Advances in Nonlinear Analysis, 2020
In the present paper, we investigate the global well-posedness and exponential decay for some coupled non-linear heat equations. Moreover, we discuss the global and non global existence of solutions using the potential well method.
Saanouni T.
doaj   +1 more source