Entire spacelike radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature
Entropy and localization of eigenfunctions
Entropy compactification of the transonic flow
Entropy conditions and their numerical analogues for conservation laws
Entropy consistent, TVD methods with high accuracy for conservation laws.
Entropy methods for reaction-diffusion equations: slowly growing a-priori bounds.
Entropy of scalar reaction-diffusion equations
We consider scalar reaction-diffusion equations on bounded and extended domains, both with the autonomous and time-periodic nonlinear term. We discuss the meaning and implications of the ergodic Poincaré-Bendixson theorem to dynamics. In particular, we show that in the extended autonomous case, the space-time topological entropy is zero. Furthermore, we characterize in the extended nonautonomous case the space-time topological and metric entropies as entropies of a pair of commuting planar homeomorphisms....
Entropy production in second-order three-point schemes.
Entropy regularization of the transonic potential flow problem
Entropy solution for anisotropic reaction-diffusion-advection systems with L1 data.
In this paper, we study the question of existence and uniqueness of entropy solutions for a system of nonlinear partial differential equations with general anisotropic diffusivity and transport effects, supplemented with no-flux boundary conditions, modeling the spread of an epidemic disease through a heterogeneous habitat.
Entropy solutions for nonhomogeneous anisotropic problems
We study a class of anisotropic nonlinear elliptic equations with variable exponent p⃗(·) growth. We obtain the existence of entropy solutions by using the truncation technique and some a priori estimates.
Entropy solutions for nonlinear unilateral parabolic inequalities in Orlicz-Sobolev spaces
We discuss the existence of entropy solution for the strongly nonlinear unilateral parabolic inequalities associated to the nonlinear parabolic equations ∂u/∂t - div(a(x,t,u,∇u) + Φ(u)) + g(u)M(|∇u|) = μ in Q, in the framework of Orlicz-Sobolev spaces without any restriction on the N-function of the Orlicz spaces, where -div(a(x,t,u,∇u)) is a Leray-Lions operator and . The function g(u)M(|∇u|) is a nonlinear lower order term with natural growth with respect to |∇u|, without satisfying the sign...
Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data
We prove an existence result of entropy solutions for a class of strongly nonlinear parabolic problems in Musielak-Sobolev spaces, without using the sign condition on the nonlinearities and with measure data.
Entropy solutions to a second order forward-backward parabolic differential equation.
Entropy solutions to the Buckley--Leverett equations.
Entropy solutions to the Verigin ultraparabolic problem.
Envelopes of holomorphy for solutions of the Laplace and Dirac equations
Analytic continuation and domains of holomorphy for solution to the complex Laplace and Dirac equations in are studied. First, geometric description of envelopes of holomorphy over domains in is given. In more general case, solutions can be continued by integral formulas using values on a real dimensional cycle in . Sufficient conditions for this being possible are formulated.
Equality cases in the symmetrization inequalities for Brownian transition functions and Dirichlet heat kernels.
Équation anisotrope de Navier-Stokes dans des espaces critiques.
We study the tridimensional Navier-Stokes equation when the value of the vertical viscosity is zero, in a critical space (invariant by the scaling). We shall prove local in time existence of the solution, respectively global in time when the initial data is small compared with the horizontal viscosity.
Équation de Burgers avec conditions initiales à accroissements indépendants et homogènes