Existence of solutions for an Oldroyd model of viscoelastic fluids.
Existence of solutions for compressible fluid models of Korteweg type
Existence of Solutions for the Keller-Segel Model of Chemotaxis with Measures as Initial Data
A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than 8π as the initial data is given. This result was obtained by Senba and Suzuki (2002) and Bedrossian and Masmoudi (2014) using different arguments. Moreover, we show a uniform bound for the existence time of solutions as well as an optimal hypercontractivity estimate.
Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force
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