Results 81 to 90 of about 24,678 (193)

Two loop results from one loop computations and non perturbative solutions of exact evolution equations

, 1994
A nonperturbative method is proposed for the approximative solution of the exact evolution equation which describes the scale dependence of the effective average action.
C. Wetterich, C. Wetterich, C. Wetterich, C. Wetterich, C. Wetterich, C. Wetterich, D.J. Amit, E. Brezin, F. Wegner, F.J. Dyson, I. Montvay, L.P. Kadanoff, M. Bonini, M. Lüscher, M. Reuter, N. Tetradis, N. Tetradis, P. Castoldi, S. Bornholdt, T. Papenbrock   +19 more
core   +1 more source

Solution and stability of system of quartic functional equations

Malaya Journal of Matematik, 2015
In this paper, the authors introduced and investigated the general solution of system of quartic functional equations$$\begin{aligned}& f(x+y+z)+f(x+y-z)+f(x-y+z)+f(x-y-z) \\& =2[f(x+y)+f(x-y)+f(x+z)+f(x-z)+f(y+z)+f(y-z)] \\& -4[f(x)+f(y)+f(z)] \\& f(3 x+2 y+z)+f(3 x+2 y-z)+f(3 x-2 y+z)+f(3 x-2 y-z) \\& =72[f(x+y)+f(x-y)]+18[f(x+z ...
null K. Balamurugan, null M. Arunkumar, null P. Ravindiran   +2 more
openaire   +1 more source

Existence and Spectral Stability Analysis of Viscous‐Dispersive Shock Profiles for Isentropic Compressible Fluids of Korteweg Type

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT The system describing the dynamics of a compressible isentropic fluid exhibiting viscosity and internal capillarity in one space dimension and in Lagrangian coordinates, is considered. It is assumed that the viscosity and the capillarity coefficients are nonlinear smooth, positive functions of the specific volume, making the system the most ...
Raffaele Folino, Corrado Lattanzio, Ramón G. Plaza   +2 more
wiley   +1 more source

Three-dimensional Gross-Pitaevskii solitary waves in optical lattices: stabilization using the artificial quartic kinetic energy induced by lattice shaking

, 2015
In this Letter, we show that a three-dimensional Bose-Einstein solitary wave can become stable if the dispersion law is changed from quadratic to quartic. We suggest a way to realize the quartic dispersion, using shaken optical lattices.
Aveline, D., Choi, S., Dunjko, V., Feiguin, A. E., Olshanii, M., Perrin, H., Ruhl, J.   +6 more
core   +3 more sources

Tensor Hypercontraction Error Correction Using Regression

Journal of Computational Chemistry, Volume 47, Issue 8, 30 March 2026.
The combination of tensor hypercontraction with machine learning bridges the gap between accuracy and computational efficiency through scaling reduction. ABSTRACT Wavefunction‐based quantum methods are some of the most accurate tools for predicting and analyzing the electronic structure of molecules, in particular for accounting for dynamical electron ...
Ishna Satyarth, Eric C. Larson, Devin A. Matthews   +2 more
wiley   +1 more source

Exploiting Two‐Photon Lithography, Deposition, and Processing to Realize Complex 3D Magnetic Nanostructures

Advanced Functional Materials, Volume 36, Issue 20, 9 March 2026.
Two‐photon lithography (TPL) enables 3D magnetic nanostructures with unmatched freedom in geometry and material choice. Advances in voxel control, deposition, and functionalization open pathways to artificial spin ices, racetracks, microrobots, and a number of additional technological applications.
Joseph Askey, Arjen van den Berg, Sandra Ruiz Gomez, Claire Donnelly, Dirk Grundler, Sam Ladak   +5 more
wiley   +1 more source

Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi-Banach Spaces

Abstract and Applied Analysis, 2009
We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation f(x+2y)+f(x−2y)=4(f(x+y)+f(x−y))−24f(y)−6f(x)+3f(2y) in quasi-Banach spaces.
M. Eshaghi Gordji, S. Zolfaghari, J. M. Rassias, M. B. Savadkouhi   +3 more
doaj   +1 more source

Multiquartic functional equations

Advances in Difference Equations, 2019
In this paper, we study n-variable mappings that are quartic in each variable. We show that the conditions defining such mappings can be unified in a single functional equation.
Abasalt Bodaghi, Choonkil Park, Oluwatosin T. Mewomo   +2 more
doaj   +1 more source

Reaction-diffusion processes in zero transverse dimensions as toy models for high-energy QCD

, 2008
We examine numerically different zero-dimensional reaction-diffusion processes as candidate toy models for high-energy QCD evolution. Of the models examined -- Reggeon Field Theory, Directed Percolation and Reversible Processes -- only the latter shows ...
A. Dumitru, A. Kolmogorov, H.K. Janssen, J.L. Cardy, José Guilherme Milhano, M. Doi, Néstor Armesto, O. Al Hammal, Paloma Quiroga-Arias, R. Jack, R. Peschanski, R.A. Fisher, Sergey Bondarenko, U.C. Tauber   +13 more
core   +1 more source

A generalized mixed type of quartic–cubic–quadratic–additive functional equations

Ukrainian Mathematical Journal, 2011
Let \(k\not\in\{0,\pm 1\}\) be a fixed integer. The authors give the general solution of the functional equation \[ f(x+ky)+f(x-ky)=g(x+y)+g(x-y)+h(x)+h(y). \] In fact, the main result of the paper is a straightforward consequence of a particular case of \textit{L.
Xu, T.Z., Rassias, J.M., Xu, W.X.
openaire   +3 more sources