Results 151 to 160 of about 249,936 (334)

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

Unique Continuation Theorem for CR-hyperfunctions [PDF]

, 1990
Shinichi Tajima
openalex  

A unique factorization theorem for matroids [PDF]

, 2004
Henry Crapo, William Schmitt
openalex   +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

A Uniqueness Theorem For Haar Measure [PDF]

, 1959
E. J. Mickle, T. Rado
openalex   +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

A non-local problem with integral conditions for hyperbolic equations

Electronic Journal of Differential Equations, 1999
A linear second-order hyperbolic equation with forcing and integral constraints on the solution is converted to a non-local hyperbolic problem. Using the Riesz representation theorem and the Schauder fixed point theorem, we prove the existence and ...
L. S. Pulkina
doaj  

On a theorem of existence and uniqueness for the elastostatics of a non linear dielectric

, 2013
Carlo Bortone, Gabriele Pelliciardi
openalex   +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

Uniqueness theorem for static dilatonU(1)2black holes [PDF]

, 1999
Marek Rogatko
openalex   +1 more source