Zobrazeno 1 - 10
of 183
pro vyhledávání: '"Goubet, Olivier"'
In this article we address some issues related to the initial value problems for a rotating shallow water hyperbolic system of equations and the diffusive regularization of this system. For initial data close to the solution at rest, we establish the
Externí odkaz:
http://arxiv.org/abs/2103.05300
This article partakes of the PEGASE project the goal of which is a better understanding of the mechanisms explaining the behaviour of species living in a network of forest patches linked by ecological corridors (hedges for instance). Actually we plan
Externí odkaz:
http://arxiv.org/abs/2004.01417
Autor:
Ghergu, Marius, Goubet, Olivier
We construct positive singular solutions for the problem $-\Delta u=\lambda \exp (e^u)$ in $B_1\subset \mathbb{R}^n$ ($n\geq 3$), $u=0$ on $\partial B_1$, having a prescribed behaviour around the origin. Our study extends the one in Y. Miyamoto [Y. M
Externí odkaz:
http://arxiv.org/abs/1906.05025
We consider the nonlinear integrodifferential Benjamin-Bona-Mahony equation $$ u_t - u_{txx} + u_x - \int_0^\infty g(s) u_{xx}(t-s) {\rm d} s + u u_x = f $$ where the dissipation is entirely contributed by the memory term. Under a suitable smallness
Externí odkaz:
http://arxiv.org/abs/1705.02112
Publikováno v:
Indiana University Mathematics Journal, 2020 Jan 01. 69(3), 749-783.
Externí odkaz:
https://www.jstor.org/stable/26959652
Autor:
Goubet, Olivier, Labrunie, Simon
We consider here a nonlinear elliptic equation in an unbounded sectorial domain of the plane. We prove the existence of a minimal solution to this equation and study its properties. We infer from this analysis some asymptotics for the stationary solu
Externí odkaz:
http://arxiv.org/abs/1408.6945
We study stable solutions of a fourth order nonlinear elliptic equation, both in entire space and in bounded domains.
Externí odkaz:
http://arxiv.org/abs/1207.3645
Given a nondecreasing nonlinearity $f$, we prove uniqueness of large solutions in the following two cases: the domain is the ball or the domain has nonnegative mean curvature and the nonlinearity is asymptotically convex.
Externí odkaz:
http://arxiv.org/abs/1202.2217
We analyze the semilinear elliptic equation $\Delta u=\rho(x) f(u)$, $u>0$ in ${\mathbf R}^D$ $(D\ge3)$, with a particular emphasis put on the qualitative study of entire large solutions, that is, solutions $u$ such that $\lim_{|x|\rightarrow +\infty
Externí odkaz:
http://arxiv.org/abs/1111.2207
Autor:
Dutykh, Denys, Goubet, Olivier
Publikováno v:
Mathematics and Computers in Simulation (2016), Vol. 127, pp. 80-93
The water wave theory traditionally assumes the fluid to be perfect, thus neglecting all effects of the viscosity. However, the explanation of several experimental data sets requires the explicit inclusion of dissipative effects. In order to meet the
Externí odkaz:
http://arxiv.org/abs/1105.5958