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
Exponential decay for the semilinear wave equation with source terms.
Exponential decay for the solution of semilinear viscoelastic wave equations with localized damping.
Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation.
Exponential decay of solutions to a fourth-order viscoelastic evolution equation in .
Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping.
Exponential energy decay of solutions of elastic wave equations with the Dirichlet condition.
Exponential stability and transfer functions of processes governed by symmetric hyperbolic systems
In this paper we study the frequency and time domain behaviour of a heat exchanger network system. The system is governed by hyperbolic partial differential equations. Both the control operator and the observation operator are unbounded but admissible. Using the theory of symmetric hyperbolic systems, we prove exponential stability of the underlying semigroup for the heat exchanger network. Applying the recent theory of well-posed infinite-dimensional linear systems, we prove that the system is...