Analytical treatment of system of KdV equations by Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) [PDF]
In this article the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM) are applied to obtain analytic approximate solution to three system of nonlinear wave equations, namely two component evolutionary system of a homogeneous KdV ...
Hafiz Abdul Wahab +2 more
doaj
BEAST: Bayesian evolutionary analysis by sampling trees
Background The evolutionary analysis of molecular sequence variation is a statistical enterprise. This is reflected in the increased use of probabilistic models for phylogenetic inference, multiple sequence alignment, and molecular population genetics ...
Drummond Alexei J +5 more
core +1 more source
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations [PDF]
Finite element and finite difference discretizations for evolutionary convection-dif\-fusion-reaction equations in two and three dimensions are studied which give solutions without or with small under- and overshoots. The studied methods include a linear
Novo, Julia +3 more
core +1 more source
YIPFα1A expression is regulated by multilayered molecular mechanisms
YIPFα1A, a five‐pass Golgi protein, is regulated at multiple layers. (1) Rare‐codon enrichment drives translation‐coupled mRNA decay. (2) A proximal 3′‐UTR element stabilizes mRNA. (3) A distal 3′‐UTR element included by alternate poly(A) site usage represses translation, which can be overridden by the proximal 3′‐UTR element.
Tokio Takaji +2 more
wiley +1 more source
Homogenization of Cahn–Hilliard-type equations via evolutionary $$\varvec{\Gamma }$$-convergence
In these notes we discuss two approaches to evolutionary Γ-convergence of gradient systems in Hilbert spaces. The formulation of the gradient system is based on two functionals, namely the energy functional and the dissipation potential, which allows us ...
Matthias Liero +3 more
core +1 more source
Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source
FINITE DIMENSIONAL APPROXIMATION OF COMPRESSIBLE NAVIERSTOKES EQUATIONS FOR BINARY MIXTURES
Nonlinear evolutionary equations modelling compressible flows of binary mixtures are considered. Well-posedness of boundary value problems for finite dimensional approximation of these equations is proved. The results can be used for numerical simulation
N. A. Kucher +2 more
doaj
Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval. [PDF]
Kazashi Y, Nobile F.
europepmc +1 more source
Global Attractor for Sectorial Evolutionary Equation
Let \(A\) be a sectorial operator with compact resolvent in an appropriate Banach space and consider the evolution equation \(\dot u + Au = F(u)\), \(t > 0\), \(u(0) = u_0\). The authors show that this problem generates a dissipative semigroup whenever an appropriate introductory estimate for solutions is known.
Cholewa, Jan W., Dlotko, Tomasz
openaire +2 more sources
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
core +1 more source

