A note on the finite fractal dimension of the global attractors for dissipative nonlinear Schrödinger‐type equations
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DOI: 10.1002/mma.6709
Abstract: In this article, we present, throughout two basic models of damped nonlinear Schrödinger (NLS)–type equations, a new idea to bound from above the fractal dimension of the global attractors for NLS‐type equations. This could answer… read more here.
Keywords: schr dinger; type equations; fractal dimension; nonlinear schr ... See more keywords
On the Generalized Method of Lines Applied to Ginzburg–Landau Type Equations
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DOI: 10.1007/s40819-016-0138-y
Abstract: The main focus of this work is the presentation of some new developments concerning the generalized method of lines (GMOL). We develop some examples about the method related to Ginzburg–Landau type equations. It is worth… read more here.
Keywords: landau type; ginzburg landau; type equations; generalized method ... See more keywords
A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations
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DOI: 10.1016/j.enganabound.2019.03.023
Abstract: Abstract In this study, a new framework for the numerical solutions of inhomogeneous Helmholtz-type equations on three-dimensional (3D) arbitrary domains is presented. A Chebyshev collocation scheme (CCS) is introduced for the efficient and accurate approximation… read more here.
Keywords: chebyshev collocation; type equations; helmholtz type; type ... See more keywords
Generic regularity and Lipschitz metric for the Hunter–Saxton type equations
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DOI: 10.1016/j.jde.2016.10.003
Abstract: Abstract The Hunter–Saxton equation determines a flow of conservative solutions taking values in the space H 1 ( R + ) . However, the solution typically includes finite time gradient blowups, which make the solution… read more here.
Keywords: hunter saxton; saxton; saxton type; type equations ... See more keywords
Stochastic Burgers type equations with reflection: Existence, uniqueness
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DOI: 10.1016/j.jde.2019.05.008
Abstract: Abstract In this paper, we establish the existence and uniqueness of solutions of reflected stochastic Burgers-type equations. The main difficulty is to deal with the highly non-linear coefficients and the singularities caused by the reflection. read more here.
Keywords: type equations; burgers type; stochastic burgers; reflection ... See more keywords
On Kirchhoff type equations with critical Sobolev exponent
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DOI: 10.1016/j.jmaa.2018.02.023
Abstract: We study the following Brezis-Nirenberg problem of Kirchhoff type $$ \left\{\aligned &-(a+b\int_{\Omega}|\nabla u|^2dx)\Delta u = \lambda|u|^{q-2}u + \delta |u|^{2}u, &\quad \text{in}\ \Omega, \\ &u=0,& \text{on}\ \partial\Omega, \endaligned \right. $$ where $\Omega\subset \bbr^4$ is a bounded… read more here.
Keywords: critical sobolev; equations critical; type equations; sobolev exponent ... See more keywords
Concentration phenomenon of solutions for a class of Kirchhoff-type equations with critical growth
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DOI: 10.1016/j.jmaa.2020.124355
Abstract: Abstract In this paper, we study the following Kirchhoff-type equations with critical growth − ( e 2 a + e b ∫ R 3 | ∇ u | 2 d x ) Δ u +… read more here.
Keywords: critical growth; equations critical; kirchhoff type; type equations ... See more keywords
Traveling wave solutions of diffusive Hindmarsh–Rose-type equations with recurrent neural feedback
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DOI: 10.1016/j.jmaa.2020.124513
Abstract: Abstract From the perspective of bifurcation theory, this study investigates the existence of traveling wave solutions for diffusive Hindmarsh–Rose-type (dHR-type) equations with recurrent neural feedback (RNF). The applied model comprises two additional terms: 1) a… read more here.
Keywords: hindmarsh rose; wave solutions; solutions diffusive; type equations ... See more keywords
Solving 2D Poisson-type equations using meshless SPH method
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DOI: 10.1016/j.rinp.2019.102260
Abstract: Abstract In the present study, 2D Poisson-type equation is solved by a meshless Symmetric Smoothed Particle Hydrodynamics (SSPH) method. The influence of the kernel function, smoothing length and particle discretizations of problem domain on the… read more here.
Keywords: using meshless; type equations; poisson type; solving poisson ... See more keywords
New exact solutions of Burgers’ type equations with conformable derivative
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DOI: 10.1080/17455030.2016.1205237
Abstract: In this paper, the new exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative. We use the first integral method to establish the exact solutions for time-fractional Burgers’… read more here.
Keywords: conformable derivative; type equations; solutions burgers; new exact ... See more keywords
Infinity-Laplacian type equations and their associated Dirichlet problems
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DOI: 10.1080/17476933.2018.1544632
Abstract: ABSTRACT In this paper, we study the Dirichlet problem associated with infinity-Laplacian type equations that may exhibit anisotropic character. We identify a broad class of nonlinearities for which the problem may or may not admit… read more here.
Keywords: laplacian type; equations associated; dirichlet; type equations ... See more keywords