Results 181 to 190 of about 854,582 (268)

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Existence and uniqueness of solutions for fuzzy fractional integro-differential equations with boundary conditions. [PDF]

Sci Rep
K A, V P, Kausar N, Salman MA.
europepmc   +1 more source

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

Infinitesimal homeostasis in mass-action systems. [PDF]

J Math Biol
Jin J, Rempala GA.
europepmc   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

Weighted Aronson-Bénilan estimates and Harnack inequalities for slow diffusion equations with a nonlinear forcing term. [PDF]

Nonlinear Differ Equ Appl
Taheri A, Vahidifar V.
europepmc   +1 more source

Scalable Reverse Converters for the Moduli Set {2n+1−1,2n−1,2n−1−1}$$ \left\{{2}^{n+1}-1,{2}^n-1,{2}^{n-1}-1\right\} $$ (n$$ n $$ Even)

International Journal of Circuit Theory and Applications, EarlyView.
This work explores the conversion from residues to binary representation in RNS using the Chinese remainder theorem (CRT) or mixed radix conversion (MRC) algorithms. The proposed approach relocates CRT multiplicative inverses to the arithmetic stage without extra cost, improving scalability while achieving speedups over state‐of‐the‐art MRC ...
Gabriel B. M. Fernandes, Hector Pettenghi, Lucas R. Kieslich   +2 more
wiley   +1 more source

Small measurable cardinals. [PDF]

Arch Math Log
Hayut Y, Karagila A.
europepmc   +1 more source

Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods

Contributions to Plasma Physics, EarlyView.
ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost, Christopher Makait, Alexander Osterkorn, Erik Schroedter   +3 more
wiley   +1 more source

Convergence and stability analysis of the Extended Infinite Horizon Model Predictive Control. [PDF]

PLoS One
Alvarez LA, de Bernardini DF, Gallesco C.   +2 more
europepmc   +1 more source