Barenblatt profiles for a nonlocal porous media equation
Texte intégral
Documents relatifs
Moreover, we construct explicit compactly supported self- similar solutions which generalize Barenblatt profiles — the well-known solutions of the classical porous medium
In this paper, based on the so-called diffusive representation of con- volution operators, a time-local formulation of the porous wall model, well adapted to analysis and
By adapting the method used in [14] along with the use of new nonlocal inequalities obtained in [13], Li and Rodrigo [26] proved that blow-up of smooth solutions also holds in
Coville also obtained the existence of at least one travelling-wave solution in the monostable case.. Our first theorem extends some of the afore-mentioned results of Schumacher to
[1] Arnaudon M., Cruzeiro A.B., Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability, Bull.
Depending on the tail of J, we give a rather complete picture of the problem in optimal classes of data by: (i) estimating the initial trace of (possibly unbounded) solutions;
To prove the H¨ older regularity of the weak solution, we need to improve lemma 4.1 by showing that a uniform reduction of the maximum on a smaller ball can be obtained not only if u
Summary: We consider a porous media type equation over all of R d with d = 1, with monotone discontinuous coefficient with linear growth and prove a probabilistic representation of