A semidiscretization scheme for a phase-field type model for solidification.
A semilinear control problem involving homogenization.
A semi-linear elliptic equation in a strip arising in a two-dimensional flame propagation model.
A semilinear elliptic problem involving nonlinear boundary condition and sign-changing potential.
A semilinear equation in
A semilinear parabolic boundary-value problem in bioreactors theory.
A semi-linear problem for the Heisenberg laplacian
A semilinear transport equation with delays.
A semi-smooth Newton method for solving elliptic equations with gradient constraints
Semi-smooth Newton methods for elliptic equations with gradient constraints are investigated. The one- and multi-dimensional cases are treated separately. Numerical examples illustrate the approach and as well as structural features of the solution.
A semi-smooth Newton method for solving elliptic equations with gradient constraints
Semi-smooth Newton methods for elliptic equations with gradient constraints are investigated. The one- and multi-dimensional cases are treated separately. Numerical examples illustrate the approach and as well as structural features of the solution.
A sequential theory of some semigroups in special spaces of generalized functions
A shape optimization approach for a class of free boundary problems of Bernoulli type
We are interested in an optimal shape design formulation for a class of free boundary problems of Bernoulli type. We show the existence of the optimal solution of this problem by proving continuity of the solution of the state problem with respect to the domain. The main tools in establishing such a continuity are a result concerning uniform continuity of the trace operator with respect to the domain and a recent result on the uniform Poincaré inequality for variable domains.
A sharp result on the poles localization for a Gevrey convex body
In this talk we extend to Gevrey-s obstacles with a result on the poles free zone due to J. Sjöstrand [8] for the analytic case.
A sharp Strichartz estimate for the wave equation with data in the energy space
We prove a sharp bilinear estimate for the wave equation from which we obtain the sharp constant in the Strichartz estimate which controls the norm of the solution in terms of the energy. We also characterise the maximisers.
A shock-capturing discontinuous Galerkin method for the numerical solution of inviscid compressible flow
A short note on theory for Stokes problem with a pressure-dependent viscosity
We study higher local integrability of a weak solution to the steady Stokes problem. We consider the case of a pressure- and shear-rate-dependent viscosity, i.e., the elliptic part of the Stokes problem is assumed to be nonlinear and it depends on and on the symmetric part of a gradient of , namely, it is represented by a stress tensor which satisfies -growth condition with . In order to get the main result, we use Calderón-Zygmund theory and the method which was presented for example in...
A short note on regularity criteria for the Navier-Stokes equations containing the velocity gradient
We review several regularity criteria for the Navier-Stokes equations and prove some new ones, containing different components of the velocity gradient.
A sign-changing solution for a superlinear Dirichlet problem. II.
A simple bioclogging model that accounts for spatial spreading of bacteria.
A simple construction of a parametrix for a regular hyperbolic operator