Results 1 to 10 of about 181 (96)
Monotonicity formulas for coupled elliptic gradient systems with applications
Advances in Nonlinear Analysis, 2019 Consider the following coupled elliptic system of ...
Fazly Mostafa, Shahgholian Henrik
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Global attractors for two‐phase stefan problems in one‐dimensional space
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 47-66, 1997., 1997 In this paper we consider one‐dimensional two‐phase Stefan problems for a class of parabolic equations with nonlinear heat source terms and with nonlinear flux conditions on the fixed boundary. Here, both time‐dependent and time‐independent source terms and boundary conditions are treated.
T. Aiki
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Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations
Journal of Mathematical Study, 2019 In this paper, we study the global regularity issue of two dimensional incompressible magnetic Bénard equations with partial dissipation and magnetic diffusion.
Dipendra Sharma
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Abstract and Applied Analysis, Volume 1, Issue 3, Page 327-340, 1996., 1996 The exponential and asymptotic stability are studied for certain coupled systems involving unbounded linear operators and linear infinitesimal semigroup generators. Examples demonstrating the theory are also given from the field of partial differential equations.
Farid Ammar Khodja +2 more
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Journal of Applied Mathematics and Computational Mechanics, 2018 In this paper, we perform the frequency-expansion formula for the nonlinear cubic damping van der Pol’s equation, and the nonlinear frequency is derived.
Y. El‐Dib
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On the exponential growth of solutions to non‐linear hyperbolic equations
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 539-545, 1989., 1989 Existence‐uniqueness theorems are proved for continuous solutions of some classes of non‐linear hyperbolic equations in bounded and unbounded regions. In case of unbounded region, certain conditions ensure that the solution cannot grow to infinity faster than exponentially.
H. Chi +3 more
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Existence and stability of fourth-order nonlinear plate problem
Nonautonomous Dynamical Systems, 2019 In this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.
Messaoudi Salim A., Mukiawa Soh Edwin
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Dynamical behaviour of an intraguild predator–prey model with prey refuge and hunting cooperation
Journal of Biological Dynamics, 2023 An intraguild predator–prey model including prey refuge and hunting cooperation is investigated in this paper. First, for the corresponding ordinary differential equation model, the existence and stability of all equilibria are given, and the existence ...
Xin-You Meng, Yan Feng
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Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability
, 2004 Received by the editors September 18, 2002. 2000 Mathematics Subject Classification. Primary 35L60; Secondary 35B35, 35B45, 35K55, 35L65, 76L05.
O. Guès +3 more
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A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION
Forum of Mathematics, Sigma, 2020 We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the solution ...
JOSÉ A. CARRILLO +2 more
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