Existence of solutions of the Darboux problem for partial differential equations in Banach spaces
Existence of solutions to a second order partial differential equation with nonlocal conditions.
Existence of solutions to generalized von Foerster equations with functional dependence
We prove the existence of solutions to a differential-functional system which describes a wide class of multi-component populations dependent on their past time and state densities and on their total size. Using two different types of the Hale operator, we incorporate in this model classical von Foerster-type equations as well as delays (past time dependence) and integrals (e.g. influence of a group of species).
Existence of solutions to microhyperbolic boundary value problems
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 weak solutions for abstract hyperbolic-parabolic equations.
Existence theory for nonlinear hyperbolic systems in nonconservative form.
Existence theory for perturbed hyperbolic differential inclusions.
Existence, uniqueness and regularity for Kruzkov's solutions of the Burger-Carleman's system
Existence, uniqueness and stabilization for a nonlinear plate system with nonlinear damping
Explicit Finite Element Schemes for First Order Symmetric Hyperbolic Systems.
Explicit integration of equations of motion solved on computer cluster
In the last decade the dramatic onset of multicore and multi-processor systems in combination with the possibilities which now provide modern computer networks have risen. The complexity and size of the investigated models are constantly increasing due to the high computational complexity of computational tasks in dynamics and statics of structures, mainly because of the nonlinear character of the solved models. Any possibility to speed up such calculation procedures is more than desirable. This...
Explicit solutions for a system of first-order partial differential equations. II.
Explicit solutions for a system of first-order partial differential equations.
Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints
MSC 2010: 44A35, 35L20, 35J05, 35J25In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact, each explicit solution may be considered as a way for effective summation of a solution in the form of nonharmonic Fourier sine-expansion. Each explicit solution, may be used for numerical calculation of the solutions too.
Explosion de solutions classiques d’équations d’ondes quasi-linéaires en deux dimensions d’espace
Explosion de solutions d'équations d'ondes quasi-linéaires en plusieurs dimensions d'espace
Explosion géométrique pour certaines équations d'ondes non linéaires
Explosion géométrique pour des systèmes quasi-linéaires
Exponential attractors for semilinear wave equations with damping