Results 101 to 110 of about 11,623,619 (358)

Stabilization of solutions for semilinear parabolic systems as $|x|o infty$

Electronic Journal of Differential Equations, 2009
We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| o infty$.
Alexander Gladkov
doaj  

Fourier Truncation Regularization Method for a Three-Dimensional Cauchy Problem of the Modified Helmholtz Equation with Perturbed Wave Number

Mathematics, 2019
In this paper, the Cauchy problem of the modified Helmholtz equation (CPMHE) with perturbed wave number is considered. In the sense of Hadamard, this problem is severely ill-posed. The Fourier truncation regularization method is used to solve this Cauchy
Fan Yang, Ping Fan, Xiao-Xiao Li
doaj   +1 more source

Green’s functions and the Cauchy problem of the Burgers hierarchy and forced Burgers equation [PDF]

, 2019
Mathew Zuparic, Keeley Hoek
openalex   +1 more source

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard   +2 more
wiley   +1 more source

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +1 more source

A Muller’s example to Cauchy problem: an operatorial point of view [PDF]

, 2012
Ioan A. Rus
openalex   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

Cauchy problem for the hyperbolic system with mixed derivatives

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
Cauchy problem for the hyperbolic system with mixed derivative is considered. The given system is transformed to the triangular or diagonal form for the further equations separation.
Elena A Kozlova
doaj  

On analytic structure of solutions to higher order abstract Cauchy problems [PDF]

, 1998
Yuliya Mishura, Yuri Tomilov
openalex   +1 more source

Existence of Solutions of Semilinear Wave Equations With Time‐Dependent Propagation Speed and Time Derivative Nonlinearity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
wiley   +1 more source