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11 papers · 1 filter
Nonlinear boundary value problems relative to one dimensional heat equation
Laurent Veron
We consider the problem of existence of a solution to in subject to the boundary condition …
Nonlinear boundary value problems relative to harmonic functions
Oussama Boukarabila, Laurent Veron
We study the problem of finding a function u verifying --u = 0 in under the boundary condition u n + g(u) = on where R N…
The classical Boussinesq system revisited
Luc Molinet, Raafat Talhouk, Ibtissam Zaiter
In this work, we revisit the study by M. E. Schonbek [11] concerning the problem of existence of global entropic weak solutions for the classical Boussinesq system, as well as the…
Initial Data Identification in Conservation Laws and Hamilton-Jacobi Equations
Rinaldo Colombo, Vincent Perrollaz
In the scalar 1D case, conservation laws and Hamilton-Jacobi equations are deeply related. For both, we characterize those profiles that can be attained as solutions at a given pos…
Weak solutions of semilinear elliptic equations with Leray-Hardy potential and measure data
Laurent Veron, Huyuan Chen
We study existence and stability of solutions of (E 1) --u + |x| 2 u + g(u) = in , u = 0 on , where is a bounded, smooth domain of R N , N 2, c…
Asymptotic stabilization of stationnary shock waves using a boundary feedback law
Vincent Perrollaz
In this paper we consider scalar conservation laws with a convex flux. Given a stationnary shock, we provide a feedback law acting at one boundary point such that this solution is…