Results 171 to 180 of about 3,258,064 (367)

Nonlocal Mixed Systems With Neumann Boundary Conditions

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We prove well posedness and stability in L1$$ {\mathbf{L}}^1 $$ for a class of mixed hyperbolic–parabolic nonlinear and nonlocal equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to L1$$ {\mathbf{L}}^1 $$ of classical results about ...
Rinaldo M. Colombo, Elena Rossi, Abraham Sylla   +2 more
wiley   +1 more source

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad, Gohar Flad‐Harutyunyan   +1 more
wiley   +1 more source

The evolution of measures determined by the Navier-Stokes equations and on the solvability of the Cauchy problem for the Hopf statistical equation [PDF]

, 1978
A. M. Vershik, O. A. Ladyzhenskaya
openalex   +1 more source

Asymptotic Analysis of Stokes Flow Through a Filter

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the Stokes flow through a thin porous layer composed of a rigid, thin, periodic, and closely packed array of parallel long rods with a noncircular, anisotropic cross‐section in the shape of a slot. This shape allows for the construction of a thicker permeable filter than what is known as the Brinkman critical size.
Georges Griso, Larysa Khilkova, Julia Orlik   +2 more
wiley   +1 more source

Singular integrals and estimates for the Cauchy-Riemann equations [PDF]

, 1973
E. M. Stein
openalex   +1 more source

Generalized φ$$ \varphi $$‐Pullback Attractors in Time‐Dependent Spaces: Application to a Nonautonomous Wave Equation With Time‐Dependent Propagation Velocity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We present sufficient conditions to obtain a generalized (φ,D)$$ \left(\varphi, \mathfrak{D}\right) $$‐pullback attractor for evolution processes on time‐dependent phase spaces, where φ$$ \varphi $$ is a given decay function and D$$ \mathfrak{D} $$ is a given universe.
Matheus Cheque Bortolan, Carlos Pecorari Neto, Heraclio López Lázaro, Paulo N. Seminario Huertas   +3 more
wiley   +1 more source

Cauchy problems for certain Isaacs-Bellman equations and games of survival [PDF]

, 1974
Robert J. Elliott, N. J. Kalton
openalex   +1 more source

The Existence of Moving Spike Patterns in an Attractive Chemotaxis Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We prove rigorously the existence of moving spike patterns in an attractive chemotaxis model with small diffusion coefficient for the chemical. In the zero diffusion limit, ϵ→0$$ \epsilon \to 0 $$, we prove that the non‐monotone traveling wave solutions of the system with ϵ>0$$ \epsilon >0 $$ converge to those of the system with ϵ=0$$ \epsilon
Tong Li, Casey Stone
wiley   +1 more source

Tangential Cauchy-Riemann equations and uniform approximation [PDF]

, 1970
Michael Freeman
openalex   +1 more source

Cauchy problems for Keller–Segel type time–space fractional diffusion equation [PDF]

Journal of Differential Equations, 2017
Lei Li, Jian‐Guo Liu, Li‐zhen Wang
semanticscholar   +1 more source