Existence of solutions for thermoelastic semiconductor equations.
Existence of solutions to nonlinear advection-diffusion equation applied to Burgers' equation using Sinc methods
This paper has two objectives. First, we prove the existence of solutions to the general advection-diffusion equation subject to a reasonably smooth initial condition. We investigate the behavior of the solution of these problems for large values of time. Secondly, a numerical scheme using the Sinc-Galerkin method is developed to approximate the solution of a simple model of turbulence, which is a special case of the advection-diffusion equation, known as Burgers' equation. The approximate solution...
Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary.
Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions [Book]
Existence of strong solutions for nonisothermal Korteweg system
This work is devoted to the study of the initial boundary value problem for a general non isothermal model of capillary fluids derived by J. E Dunn and J. Serrin (1985) in [9, 16], which can be used as a phase transition model.We distinguish two cases, when the physical coefficients depend only on the density, and the general case. In the first case we can work in critical scaling spaces, and we prove global existence of solution and uniqueness for data close to a stable equilibrium. For general...
Existence of threedimensional, steady, inviscid, incompressible flows with nonvanishing vorticity.
Existence of time-periodic solutions to incompressible Navier-Stokes equations in the whole space.
Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids
Existence of weak solutions for a nonhomogeneous solidification mathematical model.
Existence of weak solutions for a nonlinear elliptic system.
Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow.
Existence of weak solutions for quasilinear elliptic equations involving the -Laplacian.
Existence of weak solutions for the thermistor problem with degeneracy.
Existence of weak solutions to a class of degenerate semiconductor equations modeling avalanche generation.
Existence results for a nonlinear problem modeling the displacement of a solid in a transverse flow
Existence results for mean field equations
Existence results for the flow of viscoelastic fluids of White-Metzner type.
This work is concerned with the study of the flow of an incompressible viscoelastic fluid of White-Metzner type. These models lead to systems of partial differential equations that are evolutionary, are globally well posed. The objective of this article is to prove the local and global existence of solutions of these systems.
Existence, uniqueness and attainability of periodic solutions of the Navier-Stokes equations in exterior domains
Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow.
Existence, uniqueness and regularity of stationary solutions to inhomogeneous Navier-Stokes equations in
For a bounded domain , we use the notion of very weak solutions to obtain a new and large uniqueness class for solutions of the inhomogeneous Navier-Stokes system , , with , , and very general data classes for , , such that may have no differentiability property. For smooth data we get a large class of unique and regular solutions extending well known classical solution classes, and generalizing regularity results. Moreover, our results are closely related to those of a series of...