New integral inequalities for iterated integrals with applications.
Non local solutions of a nonlinear hyperbolic partial differential equation.
Nonlinear functional integrodifferential equations in Hilbert space.
Nonlinear hyperbolic equations with dissipative temporal and spatial non-local memory.
Nonlinear perturbation of balayage spaces.
Nonlocal problem for the hyperbolic system of differential equation of the first order.
Nonlocal quadratic evolution problems
Nonlinear nonlocal parabolic equations modeling the evolution of density of mutually interacting particles are considered. The inertial type nonlinearity is quadratic and nonlocal while the diffusive term, also nonlocal, is anomalous and fractal, i.e., represented by a fractional power of the Laplacian. Conditions for global in time existence versus finite time blow-up are studied. Self-similar solutions are constructed for certain homogeneous initial data. Monte Carlo approximation schemes by interacting...
Non-simultaneous blow-up for a semilinear parabolic system with nonlinear memory.
Nonsmoothing in a single conservation law with memory.
Non-standard applications of the Łojasiewicz-Simon theory: Stabilization to equilibria of solutions to phase-field models
This is a survey of results on the long-time behavior of solutions to phase-field models and related problems. The central idea is based on several non-standard applications of the Łojasiewicz-Simon theory.
Nouveaux algorithmes performants en théorie du transport
Null controllability of a coupled model in population dynamics
We are concerned with the null controllability of a linear coupled population dynamics system or the so-called prey-predator model with Holling type I functional response of predator wherein both equations are structured in age and space. It is worth mentioning that in our case, the space variable is viewed as the “gene type” of population. The studied system is with two different dispersion coefficients which depend on the gene type variable and degenerate in the boundary. This system will be governed...
Numerical analysis of the two-dimensional thermo-diffusive model for flame propagation
Numerical Analysis of the Weighted Particle Method Applied to the Semiconductor Boltzmann Equation.
Numerical computation of a nonlocal double obstacle problem.
Numerical solution of a parabolic equation with a weakly singular positive-type memory term.