2025Article de revue
Bondi-spherically symmetric Einstein-non-linear scalar field system
Franck Modeste Teyang, Pierre Noundjeu, David Tegankong
Journal of Geometry and Physics
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Publications scientifiques
Franck Modeste Teyang, Pierre Noundjeu, David Tegankong
Journal of Geometry and Physics
Moussa El-Khalil Kpoumiè, Yannick-Levis Djeunankam, Joseph Mbang, Pierre Noundjeu
Asian-European Journal of Mathematics
In this work, we study the existence of mild solutions for some nondensely partial functional integro-differential equations with state-dependent delay in Banach spaces. We assume that the linear part is not necessarily densely defined and generates an integrated resolvant operators. The nonlinear part satisfies Carathéodory’s conditions. Our approach is based on the generalized Darbo Fixed Point Theorem on Banach spaces and the integrated resolvent operators theory. For illustration, we propose a reaction–diffusion equation with state-dependent delay. The results obtained in this paper are a generalization of some existing results in this area.
T. See, Pierre Noundjeu
Acta Applicandae Mathematicae
R. Moutngui, Pierre Noundjeu
Advances in Pure and Applied Mathematics
We prove that the initial value problem with small data for the asymptotically flat spherically symmetric Einstein-Vlasov-Maxwell system admits the global in time solution in the case of the non-zero shift vector.This result extends the one already known for chargeless case.
Moussa El-Khalil Kpoumiè, Yannick-Levis Djeunankam, Joseph Mbang, Pierre Noundjeu
Malaya Journal of Matematik
In this work, we study the existence solutions and the dependence continuous with the initial data for some nondensely nonautonomous partial functional differential equations with state-dependent delay in Banach spaces. We assume that the linear part is not necessarily densely defined, satisfies the well-known hyperbolic conditions and generate a noncompact evolution family. Our existence results are based on Sadovskii fixed point Theorem. An application is provided to a reaction-diffusion equation with state-dependent delay.
Franck Modeste Teyang, Pierre Noundjeu, David Tegankong
General Relativity and Gravitation
Pierre Noundjeu, David Tegankong
Acta Mathematica Vietnamica
Pierre Noundjeu, Gilbert Chendjou
Communications in Mathematical Sciences
We consider the Vlasov-Einstein-Maxwell (VEM) system in the spherically symmetric setting and we try to establish a global static solution with isotropic or anisotropic pressure that approaches Minkowski spacetime at the spacial infinity and has a regular center. This work extends the previous one recently done by the first author, in which only the isotropic case is concerned.
Advances in Pure Mathematics
We consider the VEM system in the context of spherical symmetry and we try to establish a global static solutions with isotropic pressure that approaches Minkowski spacetime at infinity and have a regular center. To be in accordance with numerical investigation we take here low charge particles.
arXiv (Cornell University)
The Einstein-Vlasov-Maxwell (EVM) system can be viewed as a relativistic generalization of the Vlasov-Poisson (VP) system. As it is proved below, one of nice property obeys by the first system is that the strong energy condition holds and this allows to conclude that the above system is physically viable. We show in this paper that in the context of spherical symmetry, solutions of the perturbed (EVM) system by $γ:= 1/c^{2}$, $c$ being the speed of light, exist and converge uniformly in $L^{\infty}$-norm, as $c$ goes to infinity on compact time intervals to solutions of the non-relativistic (VP) system.
Classical and Quantum Gravity
We look for the global in time solution of the Cauchy problem corresponding to the asymptotically flat spherically symmetric EVM system with small initial data. We also prove that if the solution of the system stated above develops a singularity at some time, then the first one has to appear at the centre of symmetry.
arXiv (Cornell University)
Using an estimate, we prove that if solution of the spherically symmetric Einstein-Vlasov-Maxwell system develops a singularity at all time, then the first one has to appear at the center of symmetry.
Norbert Noutchegueme, Pierre Noundjeu, Sophonie Blaise Tchapnda, David Tegankong
Norbert Noutchegueme, Pierre Noundjeu
Annales Henri Poincaré
Norbert Noutchegueme, Pierre Noundjeu
Comptes Rendus de l Académie des Sciences - Series I - Mathematics
T. See, Pierre Noundjeu
Acta Mathematica Vietnamica
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