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Uniqueness of solution to a free boundary problem from combustion
(American Mathematical Society, 2001-04)
We investigate the uniqueness and agreement between different kinds of solutions for a free boundary problem in heat propagation that in classical terms is formulated as follows: to find a continuous function u(x, t) ≥ 0, ...
Retractability of solutions to the Yang-Baxter equation and p-nilpotency of skew braces
(World Scientific, 2019-09)
Using Bieberbach groups, we study multipermutation involutive solutions to the Yang-Baxter equation. We use a linear representation of the structure group of an involutive solution to study the unique product property in ...
On viscosity and weak solutions for non-homogeneous p-Laplace equations
(de Gruyter, 2017-04)
In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower order term depending on $x$, $u$ and $abla u$. More precisely, we prove that any locally ...
Sensitivity equations for measure-valued solutions to transport equations
(American Institute of Mathematical Sciences, 2020-01)
We consider the following transport equation in the space of bounded, nonnegative Radon measures M+(Rd): θtμt + θx(v(x)μt) = 0: We study the sensitivity of the solution μt with respect to a perturbation in the vector field, ...
Multiple solutions for mixed boundary value problems with ϕ-Laplacian operators
(Editorial board, 2020-06)
Using Leray-Schauder degree theory and the method of upper andlower solutions we establish existence and multiplicity of solutions for problemsof the form(ϕ(u0))0 = f(t, u, u0)u(0) = u(T) = u0(0),where ϕ is an increasing ...
Navier type exact analytical solutions for vibrations of thin-walled shallow shells with rectangular planform
(Elsevier, 2021-03)
Exact analytical solutions for the free vibrations of Thin-Walled shallow shells are presented in this work. The shells considered have rectangular planform and two principal constant curvatures. Past treatment of this ...
Effect of saline solutions and salt stress on seed germination of some tropical forest tree species
(Universidad de Costa Rica, 1998)
Sign conditions for the existence of at least one positive solution of a sparse polynomial system
(Academic Press Inc Elsevier Science, 2020-12)
We give sign conditions on the support and coefficients of a sparse system of d generalized polynomials in d variables that guarantee the existence of at least one positive real root, based on degree theory and Gale duality. ...
Comment on “Solution of Schrödinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation” [J. Math. Phys. 59, 053501 (2018)]
(American Institute of Physics, 2021-10)
We analyze some polynomial solutions to the Schrödinger equation with a central-field potential derived recently by means of the so-called extended Nikiforov-Uvarov method. We show that this approach does not produce the ...
Prediction of the Water Activity in Multicomponent Solutions by a Simple and Accurate Equation and Derivation of Zdanovskii’s Rule
(Springer/Plenum Publishers, 2019-03)
A simple equation is derived for the prediction of the water activity as a function of the molal concentrations of a multicomponent mixture, a1(m2 , m3 ,.., mn+1). It consists basically of a series expansion whose coefficients ...