WebI hold a Ph.D. in Mathematics from the Paris-Sud University and an Habilitation from the Nova University of Lisbon. My research is focused on dispersive equations and systems of partial differential equations, such as the Schrödinger equation. I served as President of the Portuguese Mathematical Society between 2024 and 2024. Also, I coordinated between …

[1205.5080v1] The Cauchy problem for the Euler-Poisson system …

WebIn this paper the initial value problem for a class of Zakharov equations arising from ion-acoustic modes is discussed. Without assuming the Cauchy data are small, we prove the existence and uniqueness of the global smooth solution for the problem via the so-called continuous method and delicate a priori estimates. Web23 de mai. de 2012 · We consider in this paper the rigorous justification of the Zakharov–Kuznetsov equation from the Euler–Poisson system for uniformly magnetized … snapshot from progressive lady

Local well-posedness for the quantum Zakharov system in one …

WebCauchy problem of the Zakharov system (or any other Wave-Schro¨dinger systems in 3 dimensions) is by Guo and Nakanishi [14], where they considered small radial solutions in the energy space. In [18], the second author, Hani and Shatah proved pointwise decay and scattering for sufficiently Web15 de out. de 2015 · In this paper we shall be interested in the blow-up rate of the blow-up solutions to the Cauchy problem for the system (1.1), ... On the Cauchy problem for the Zakharov system. J. Funct. Anal., 151 (1997), pp. 384-436. View PDF View article View in Scopus Google Scholar [11] WebTL;DR: In this article, the authors studied the local Cauchy problem in time for the Zakharov system, (1.1) and (2.2), governing Langmuir turbulence, with initial data ( u (0), n (0) ∈ H k ⊕ H lscr; H l−1, in arbitrary space dimension ν, defined a natural notion of criticality according to which the critical values of ( k, l) are ( ν /2 ... roadmaster recall