Results 21 to 30 of about 147 (112)
Blowing-up solutions of the time-fractional dispersive equations
Advances in Nonlinear Analysis, 2021 This paper is devoted to the study of initial-boundary value problems for time-fractional analogues of Korteweg-de Vries, Benjamin-Bona-Mahony, Burgers, Rosenau, Camassa-Holm, Degasperis-Procesi, Ostrovsky and time-fractional modified Korteweg-de Vries ...
Alsaedi Ahmed +3 more
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Remarks on nonlinear biharmonic evolution equation of Kirchhoff type in noncylindrical domain
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2035-2052, 2003., 2003 We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the supports of the ends of the beam have small displacements.
J. Límaco, H. R. Clark, L. A. Medeiros
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Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
Advances in Nonlinear Analysis, 2023 In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the
Chen Yuxuan
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Critical global asymptotics in higher‐order semilinear parabolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 60, Page 3809-3825, 2003., 2003 We consider a higher‐order semilinear parabolic equation ut = −(−Δ)mu − g(x, u) in ℝN × ℝ+, m > 1. The nonlinear term is homogeneous: g(x, su) ≡ |s|p−1sg(x, u) and g(sx, u) ≡ |s|Qg(x, u) for any s ∈ ℝ, with exponents P > 1, and Q > −2m. We also assume that g satisfies necessary coercivity and monotonicity conditions for global existence of solutions ...
Victor A. Galaktionov
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Integrodifferential equations with analytic semigroups
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 177-189, 2003., 2003 In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
D. Bahuguna
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This work analyzes the continuous dependence of solutions to the Moore–Gibson–Thompson (MGT) equation formulated via Green–Naghdi Type III second gradient elasticity theory. The governing system is defined on a semi‐infinite cylindrical domain, subject to homogeneous Dirichlet conditions on the lateral boundary.
Jincheng Shi, Yiwu Lin, Smritijit Sen
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The regularity of weak solutions for certain n-dimensional strongly coupled parabolic systems
Advanced Nonlinear Studies, 2022 This paper is concerned with the n-dimensional strongly coupled parabolic systems with triangular form in the cylinder Ω×(0,T]\Omega \times (0,T]. We investigate L2{L}^{2} and Hölder regularity of the derivatives of weak solutions (u1,u2)\left({u}_{1},{u}
Tan Qi-Jian
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Abstract and Applied Analysis, Volume 2003, Issue 10, Page 573-589, 2003., 2003 This paper deals with weak solution in weighted Sobolev spaces, of three‐point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly, prove the existence, uniqueness, and continuous dependence of the solution for the linear equation.
Abdelfatah Bouziani
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Spatial Decay Estimates for Elastic Plate System With Type II Heat Conduction
Journal of Mathematics, Volume 2026, Issue 1, 2026.The classical Saint‐Venant principle has been extensively studied for harmonic and biharmonic models but remains largely unexplored for thermomechanical plates governed by hyperbolic (Type II) heat conduction, a conservative thermal model with unique dynamical features. This paper investigates the spatial decay properties of solutions to such a coupled
Jincheng Shi, Yiwu Lin, Pramita Mishra
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Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation
Abstract and Applied Analysis, Volume 2003, Issue 9, Page 521-538, 2003., 2003 We consider a nonlinear parabolic equation involving nonmonotone diffusion. Existence and uniqueness of solutions are obtained, employing methods for semibounded evolution equations. Also shown is the existence of a global attractor for the corresponding dynamical system.
Nikos Karachalios +2 more
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