A boundary value problem for cold plasma dynamics.
A Boundary value Problem for Equations of mixed type
A boundary value problem for mixed-type equations in domains with multiply connected hyperbolicity subdomains.
A class of boundary problems for extremal surfaces of mixed type in Minkowski 3-space.
A Convergent Finite Elemet Formulation for Transonic Flow.
A Finite Element Method for a Boundary Value Problem of Mixed Type.
A finite element method for the nonlinera Tricomi problem.
A Finite Element Method for the Tricomi Problem.
A game interpretation of the Neumann problem for fully nonlinear parabolic and elliptic equations
We provide a deterministic-control-based interpretation for a broad class of fully nonlinear parabolic and elliptic PDEs with continuous Neumann boundary conditions in a smooth domain. We construct families of two-person games depending on a small parameter ε which extend those proposed by Kohn and Serfaty [21]. These new games treat a Neumann boundary condition by introducing some specific rules near the boundary. We show that the value function converges, in the viscosity sense, to the solution...
A general investigation of admissible couplings between systems of higher order and different type
A generalization of the Hille--Yosida theorem to the case of degenerate semigroups in locally convex spaces.
A problem with internal conditions for a pseudoparabolic equation.
A quasi-boundary value method for regularizing nonlinear ill-posed problems.
A simple bioclogging model that accounts for spatial spreading of bacteria.
A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies
The purpose of this paper is to provide a priori error estimates on the approximation of contact conditions in the framework of the eXtended Finite-Element Method (XFEM) for two dimensional elastic bodies. This method allows to perform finite-element computations on cracked domains by using meshes of the non-cracked domain. We consider a stabilized Lagrange multiplier method whose particularity is that no discrete inf-sup condition is needed in the convergence analysis. The contact condition is...
A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies
The purpose of this paper is to provide a priori error estimates on the approximation of contact conditions in the framework of the eXtended Finite-Element Method (XFEM) for two dimensional elastic bodies. This method allows to perform finite-element computations on cracked domains by using meshes of the non-cracked domain. We consider a stabilized Lagrange multiplier method whose particularity is that no discrete inf-sup condition is needed in the convergence analysis. The contact condition is...
A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies
The purpose of this paper is to provide a priori error estimates on the approximation of contact conditions in the framework of the eXtended Finite-Element Method (XFEM) for two dimensional elastic bodies. This method allows to perform finite-element computations on cracked domains by using meshes of the non-cracked domain. We consider a stabilized Lagrange multiplier method whose particularity is that no discrete inf-sup condition is needed in the convergence analysis. The contact condition is...
About one high-order linear equation of mixed type.
About the decay of surface waves on viscous fluids without surface tension
We study the decay of the motions of a viscous fluid subject to gravity without surface tension with a free boundary at the top. We show that the solutions of the linearization about the equilibrium state decay, but not exponentially in a uniform manner. We also discuss the consequences of this for the non-linear equations.
An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative
Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals with an analog of Tricomi boundary value problem for a partial differential equation of mixed type involving a diffusion equation with the Riemann-Liouville partial fractional derivative and a hyperbolic equation with two degenerate lines. By using the properties of the Gauss hypergeometric function and of the generalized fractional integrals and derivatives with such a function in the kernel, the uniqueness...