Results 41 to 50 of about 59,874 (192)

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, Changxing Miao, D. Chae, D. Chae, E.M. Stein, F. Planchon, J. Bergh, J. Wu, J. Wu, J. Wu, J. Wu, J.-M. Bony, J.-Y. Chemin, J.-Y. Chemin, J.T. Beale, M. Cannone, M. Frazier, Q. Chen, Qionglei Chen, R.E. Caflisch, T. Kato, Y. Meyer, Z. Zhang, Zhifei Zhang   +23 more
core   +1 more source

Abstract Boundary Delay Systems and Application to Network Flow

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi   +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  

Well-posedness of difference elliptic equation

Discrete Dynamics in Nature and Society, 1997
The exact with respect to step h∈(0,1] coercive inequality for solutions in Ch of difference elliptic equation is established.
Pavel E. Sobolevskii
doaj   +1 more source

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 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, Kaddour Guerbati , Khaled Zennir , Mohammad Alnegga   +3 more
doaj   +1 more source

Well-posedness of the martingale problem for non-local perturbations of Lévy-type generators [PDF]

, 2022
Peng Jin
openalex   +1 more source

Well-posedness for the fifth order KdV equation [PDF]

, 2011
In this paper, we establish the well-posedness for the Cauchy problem of the fifth order KdV equation with low regularity data. The nonlinear term has more derivatives than can be recovered by the smoothing effect, which implies that the iteration ...
Kato, Takamori
core  

Well-posedness by noise for linear advection of $k$-forms [PDF]

, 2022
Aythami Bethencourt de Léon, So Takao
openalex   +1 more source

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, Roland Tóth, Henk Nijmeijer, Siep Weiland   +3 more
wiley   +1 more source