Results 41 to 50 of about 221 (109)
Existence and uniqueness for a coupled parabolic‐hyperbolic model of MEMS
Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6310-6353, 15 May 2024.Local wellposedness for a nonlinear parabolic‐hyperbolic coupled system modeling Micro‐Electro‐Mechanical System (MEMS) is studied. The particular device considered is a simple capacitor with two closely separated plates, one of which has motion modeled by a semilinear hyperbolic equation.
Heiko Gimperlein +2 more
wiley +1 more source
On the NBVP for semilinear hyperbolic equations
, 2017 This paper is concerned with establishing the solvability of the nonlocal boundary value problem for the semilinear hyperbolic equation in a Hilbert space.
Necmettin Aggez, Gulay Yucel
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, 2023 In this paper, we discuss some of the important qualitative properties of solutions of second-order hyperbolic equations, whose coefficients of the terms involving the second-order derivatives are independent of the desired function and its derivatives ...
Rudzko, J. V., Korzyuk, V. I.
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Conservation laws and variational structure of damped nonlinear wave equations
Mathematical Methods in the Applied Sciences, Volume 47, Issue 6, Page 3974-3996, April 2024.All low‐order conservation laws are found for a general class of nonlinear wave equations in one dimension with linear damping which is allowed to be time‐dependent. Such equations arise in numerous physical applications and have attracted much attention in analysis.
Stephen C. Anco +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 47, Issue 5, Page 3547-3581, 30 March 2024.In this paper, we consider a class of nonlinear second‐order functional differential equations with piecewise constant arguments with applications to a thermostat that is controlled by the introduction of functional terms in the temperature and the speed of change of the temperature at some fixed instants.
Sebastián Buedo‐Fernández +2 more
wiley +1 more source
Boundary value problems for semilinear evolution equations of compact type
, 1982 Bibliography: p.
Sager, Herbert Casper
core
Cosine methods for a class of semilinear second-order wave equations
, 1990 We analyze fully discrete methods of fourth- or second-order temporal accuracy for the approximation of the solutions of a class of semilinear second-order hyperbolic equations with a nonlinear term ⨍ that depends on x, t, u, ut, ▿u.
Makridakis, Ch.G.
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Linear and Nonlinear Perturbed Wave Equations
, 2008 We consider several Cauchy problems for the wave equation with some perturbation. First of all, we consider the wave equation with a metric perturbation, that is, we consider the d'Alembert operator in the Schwarzschild metric (which is a model for a ...
CATANIA, DAVIDE
core
A New Single Step Full Discrete Scheme for a Semilinear Second Order Hyperbolic Equation
, 2011 In this paper, we study a simplified single step full discrete scheme for a class of semilinear hyperbolic problems of second order. At first we obtain a system of second ordinary differential equations with initial value by use of spatially discrete ...
Kang Deng
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