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Modelling of Quasi-1D Wigner Solid Melting in a Parabolic Confinement crystal in a parabolic confinement was carried out using molecular dynamics. The melting transition
Explicit algorithms to solve a class of state constrained parabolic optimal control problems governed by a linear parabolic equation with the following features: control is distributed, observation
Existent of Wave Solution and Asymptotic Long-Time Behavior of Solutions of the Cauchy Problem for Some Quasilinear Parabolic EquationI study some quasilinear parabolic equation. The behavior of solutions of the Cauchy problem
On solvability of a elliptic-parabolic problem of nonlinear filtration theory that the domain of the Kirchhoff function constitutes only a part of the real axis. For proving the existence
Three new weak formulations of the problem of American call options valuation-continuous functional and the last one is a semilinear parabolic equation with a discontinuous spatial operator. All
On the presentation of semigroups generated by parabolic difference-differential equations by Feynman formulas functions. The representation of semigroup of Cauchy problem solutions for considered functional
On the Solvability of the Identification Problem for a Source Function in a Quasilinear Parabolic System of Equations in Bounded and Unbounded DomainsThe paper considers the problem of identification for a source function in one of two equations
Implementation of a waveguide analysis program using the Fenics Project package functional than FreeFem++. In addition, the main interface for FEniCS, which is DOLFIN, is implemented
Extinction in a finite time for solutions of a class of quasilinear parabolic equations and sufficient conditions. The threshold is for power functions when p > 1 + q while finite time extinction
On Initial Boundary Value Problem for Parabolic Differential Operator with Non-coercive Boundary ConditionsWe consider initial boundary value problem for uniformly 2-parabolic differential operator
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