Results 51 to 60 of about 3,713 (117)
Self-Similar Blowup Solutions to the 2-Component Degasperis-Procesi Shallow Water System
, 2010 In this article, we study the self-similar solutions of the 2-component Degasperis-Procesi water system:% [c]{c}% \rho_{t}+k_{2}u\rho_{x}+(k_{1}+k_{2})\rho u_{x}=0 u_{t}-u_{xxt}+4uu_{x}-3u_{x}u_{xx}-uu_{xxx}+k_{3}\rho\rho_{x}=0. By the separation method,
Camassa +19 more
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Global Solutions and Asymptotic Study to a 3D‐Lagrangian Boussinesq System
Journal of Mathematics, Volume 2025, Issue 1, 2025.We prove that the Lagrangian‐averaged 3D periodic Boussinesq system has a global in time weak solution that depends continuously on time. Also, we establish that a unique strong global in time solution exists. Moreover, we show that the system has a compact global attractor which is connected.
Ridha Selmi +2 more
wiley +1 more source
Generalized Cahn‐Hilliard equations based on a microforce balance
Journal of Applied Mathematics, Volume 2003, Issue 4, Page 165-185, 2003., 2003 We present some models of Cahn‐Hilliard equations based on a microforce balance proposed by M. Gurtin. We then study the existence and uniqueness of solutions.
Alain Miranville
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Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this work, we deal with a fourth‐order parabolic equation with variable exponent logarithmic nonlinearity. We obtain the global existence and blowup solutions using the energy functional and potential well method.
Gülistan Butakın +3 more
wiley +1 more source
Decay rates for solutions of a Timoshenko system with a memory condition at the boundary
Abstract and Applied Analysis, Volume 7, Issue 10, Page 531-546, 2002., 2002 We consider a Timoshenko system with memory condition at the boundary and we study the asymptotic behavior of the corresponding solutions. We prove that the energy decay with the same rate of decay of the relaxation functions, that is, the energy decays exponentially when the relaxation functions decays exponentially and polynomially when the ...
Mauro de Lima Santos
wiley +1 more source
Existence result for a new class of Kirchhoff elliptic system with variable parameters
Miskolc Mathematical Notes, 2020 The paper studies the existence result for a new class of Kirchhoff elliptic system with variable parameters in the right hand side. Sub-super solutions method are used for proving the main result.
M. Haiour +3 more
semanticscholar +1 more source
Asymptotically periodic solutions of semilinear fractional integro-differential equations
Advances in Differential Equations, 2014 In this paper, we study the existence of an -asymptotically ω-periodic mild solution of semilinear fractional integro-differential equations in Banach space, where the nonlinear perturbation is -asymptotically ω-periodic or -asymptotically ω-periodic in ...
Zhinan Xia
semanticscholar +1 more source
On uniqueness sets of additive eigenvalue problems and applications
, 2018 In this paper, we provide a simple way to find uniqueness sets for additive eigenvalue problems of first and second order Hamilton--Jacobi equations by using a PDE approach.
Mitake, Hiroyoshi, Tran, Hung V.
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, 2020 We consider star-shaped tubular domains consisting of a number of non intersecting semi-infinite strips of small thickness that are connected by a central region of diameter proportional to the thickness of the strips.
P. Lions, P. Souganidis
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Asymptotic Analysis of a Schrödinger-Poisson System with Quantum Wells and Macroscopic Nonlinearities in Dimension 1 [PDF]
, 2010 2000 Mathematics Subject Classification: 35Q02, 35Q05, 35Q10, 35B40.We consider the stationary one dimensional Schrödinger-Poisson system on a bounded interval with a background potential describing a quantum well. Using a partition function which forces
Faraj, A.
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