Spatially Periodic Solutions for Evolution Anisotropic Variable‐Coefficient Navier–Stokes Equations: II. Serrin‐Type Solutions
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DOI: 10.1002/mma.10921
Abstract: We consider evolution (nonstationary) space‐periodic solutions to the n$$ n $$ ‐dimensional nonlinear Navier–Stokes equations of anisotropic fluids with the viscosity coefficient tensor variable in space and time and satisfying the relaxed ellipticity condition. Employing… read more here.
Keywords: type solutions; navier stokes; stokes equations; periodic solutions ... See more keywords
Existence of Radial Mixed Type Solutions in Chern–Simons Theories of Rank 2 in $$\mathbb {R}^2$$R2
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DOI: 10.1007/s00220-019-03469-6
Abstract: AbstractWe are concerned with Chern–Simons gauge theories of rank 2 in $$\mathbb {R}^2$$R2 such as SU(3), SO(5), and $$G_2$$G2 Chern–Simons theory. One can reduce the self-dual equations of these models to a $$2\times 2$$2×2 system… read more here.
Keywords: existence; chern simons; rank mathbb; mixed type ... See more keywords
Rogue wave-type solutions of the mKdV equation and their relation to known NLSE rogue wave solutions
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DOI: 10.1007/s11071-017-3991-2
Abstract: We present the first four exact rational solutions of the set of rational solutions of the modified Korteweg–de Vries equation. These solutions can be considered as rogue waves of the corresponding equation. Comparison with rogue… read more here.
Keywords: rogue; wave solutions; type solutions; wave type ... See more keywords
New type of solutions to a slightly subcritical Hénon type problem on general domains
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DOI: 10.1016/j.jde.2017.08.005
Abstract: Abstract We consider the following slightly subcritical problem ( ℘ e ) { − Δ u = β ( x ) | u | p − 1 − e u in Ω , u =… read more here.
Keywords: new type; slightly subcritical; subcritical non; type solutions ... See more keywords
New type of solutions to a slightly subcritical Hénon type problem in dimensions 7, 8 and 9
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DOI: 10.1016/j.jde.2019.09.050
Abstract: Abstract Inspired from the constructive method of Davilla et al. [10] , with new ingredients, we extend their existence results to dimensions 7 ≤ n ≤ 9 concerning the following Henon type problem { −… read more here.
Keywords: new type; type problem; type solutions; solutions slightly ... See more keywords
Cauchy Matrix Type Solutions for the Nonlocal Nonlinear Schrödinger Equation
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DOI: 10.1016/s0034-4877(19)30070-9
Abstract: In this paper, we study some Cauchy matrix type solutions for the nonlocal nonlinear Schrodinger equations, including Cauchy matrix type multisoliton solutions and Cauchy matrix type Jordan block solutions. These solutions are obtained from the… read more here.
Keywords: nonlocal nonlinear; cauchy matrix; solutions nonlocal; type solutions ... See more keywords
Gevrey Asymptotics for Logarithmic-Type Solutions to Singularly Perturbed Problems with Nonlocal Nonlinearities
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DOI: 10.1155/2023/3025513
Abstract: We investigate a family of nonlinear partial differential equations which are singularly perturbed in a complex parameter ϵ and singular in a complex time variable t at the origin. These equations combine differential operators of… read more here.
Keywords: singularly perturbed; gevrey asymptotics; logarithmic type; type solutions ... See more keywords
Weak Sharp Type Solutions for Some Variational Integral Inequalities
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DOI: 10.3390/axioms13040225
Abstract: Weak sharp type solutions are analyzed for a variational integral inequality defined by a convex functional of the multiple integral type. A connection with the sufficiency property associated with the minimum principle is formulated, as… read more here.
Keywords: type solutions; variational integral; weak sharp; solutions variational ... See more keywords
Multidimensional Diffusion-Wave-Type Solutions to the Second-Order Evolutionary Equation
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DOI: 10.3390/math12020354
Abstract: The paper concerns a nonlinear second-order parabolic evolution equation, one of the well-known objects of mathematical physics, which describes the processes of high-temperature thermal conductivity, nonlinear diffusion, filtration of liquid in a porous medium and… read more here.
Keywords: equation; type solutions; wave type; diffusion ... See more keywords