A Neumann problem with the -Laplacian on a solid torus in the critical of supercritical case.
A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function
A new approach for the analysis of Vortex Methods in two and three dimensions
A new approach to initial traces in nonlinear filtration
A new approach to solve a nonlinear wave equation.
A new approach to study hyperbolic-parabolic coupled systems
A new approach to the existence of almost everywhere solutions of nonlinear PDEs
We discuss the existence of almost everywhere solutions of nonlinear PDE’s of first (in the scalar and vectorial cases) and second order.
A new approach to the -regularity theorems for linear stationary nonhomogeneous Stokes systems.
A new approach to Young measure theory, relaxation and convergence in energy
A new conservative difference scheme for the general Rosenau-RLW equation.
A new conservative finite difference scheme for Boussinesq paradigm equation
A family of nonlinear conservative finite difference schemes for the multidimensional Boussinesq Paradigm Equation is considered. A second order of convergence and a preservation of the discrete energy for this approach are proved. Existence and boundedness of the discrete solution on an appropriate time interval are established. The schemes have been numerically tested on the models of the propagation of a soliton and the interaction of two solitons. The numerical experiments demonstrate that the...
A new constrained formulation of the Maxwell system
A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups.
A new description and some modifications of Filippov cone
A new domain decomposition method for the compressible Euler equations
In this work we design a new domain decomposition method for the Euler equations in 2 dimensions. The starting point is the equivalence with a third order scalar equation to whom we can apply an algorithm inspired from the Robin-Robin preconditioner for the convection-diffusion equation [Achdou and Nataf, C. R. Acad. Sci. Paris Sér. I325 (1997) 1211–1216]. Afterwards we translate it into an algorithm for the initial system and prove that at the continuous level and for a decomposition into 2 sub-domains,...
A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method
Finite element methods with piecewise polynomial spaces in space for solving the nonstationary heat equation, as a model for parabolic equations are considered. The discretization in time is performed using the Crank-Nicolson method. A new a priori estimate is proved. Thanks to this new a priori estimate, a new error estimate in the discrete norm of is proved. An -error estimate is also shown. These error estimates are useful since they allow us to get second order time accurate approximations...
A New family of Mixed Finite Elements in IR3.
A new inequality for superdiffusions and its applications to nonlinear differential equations.
A new iterative algorithm for solving the fictitious fluxes method problems for elliptic equations
A new kind of the solution of degenerate parabolic equation with unbounded convection term
A new kind of entropy solution of Cauchy problem of the strong degenerate parabolic equation [...] is introduced. If u0 ∈ L∞(RN), E = {Ei} ∈ (L2(QT))N and divE ∈ L2(QT), by a modified regularization method and choosing the suitable test functions, the BV estimates are got, the existence of the entropy solution is obtained. At last, by Kruzkov bi-variables method, the stability of the solutions is obtained.