Results 11 to 20 of about 7,757,053 (329)
Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics [PDF]
Nonlinearity, 2018 The Brio system is a two-by-two system of conservation laws arising as a simplified model in ideal magnetohydrodynamics. The system has the form It was found in previous works that the standard theory of hyperbolic conservation laws does not apply to ...
H. Kalisch +2 more
semanticscholar +1 more source
Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent [PDF]
Analysis & PDE, 2017 For n ≥ 5, we consider positive solutions u of the biharmonic equation Δ^2u = u^((n+4)/(n−4)) on R^n∖{0}, with a nonremovable singularity at the origin. We show that ∣∣x∣∣^((n−4)/2)u is a periodic function of ln|x| and we classify all periodic functions ...
R. Frank, Tobias König
semanticscholar +1 more source
Singular solutions of a singular differential equation
Journal of Inequalities and Applications, 2000 The authors study the singular differential equation \[ \bigl( |y'|^{-\alpha} \bigr)'+q(t)|y|^\beta =0\tag{*} \] where \(\alpha\) and \(\beta\) are positive constants and \(q(t)\) is a positive continuous function on \([0,\infty)\). A solution with conditions given at \(t\equiv 0\) is called singular if it ceases to exist at some finite point \(T\in (0,
Kusano, Takaŝi, Naito, Manabu
openaire +4 more sources
Multiple Solutions of Singular Perturbation Problems [PDF]
, 1972 Under certain conditions on g(x, u) we establish the existence and asymptotic behavior for small ε > 0 of multiple asymptotic solutions of the nonlinear boundary value problem εu" + u’ - g(x,u) = 0, 0 < x < 1, u’(0) - au(0)= A ≥ 0, a > 0, u’(1) + bu(
Cohen, Donald S.
core +1 more source
Singular solutions to a quasilinear {ODE}
Advances in Differential Equations, 2005 7
DALBONO, Francesca +1 more
openaire +5 more sources
Singular solutions of thep-Laplace equation [PDF]
Mathematische Annalen, 1986 Correction to the authors' paper [ibid. 275, 599-615 (1986; Zbl 0592.35031)].
Kichenassamy, Satyanad, Véron, Laurent
openaire +4 more sources
Scaling of singular structures in extensional flow of dilute polymer solutions [PDF]
, 2008 Recently singular solutions have been discovered in purely elongational flows of visco-elastic fluids. We surmise that these solutions are the mathematical structures underlying the so-called birefringent strands seen experimentally.
Becherer, Paul +2 more
core +1 more source
On the singularities of solutions to singular perturbation problems
Journal of Physics: Conference Series, 2005 We consider a singularly perturbed complex first order ODE eu ' = Φ(x, u, a, e), x, u , e > 0 is a small complex parameter and a is a control parameter. It is proven that the singularities of some solutions are regularly spaced and that they move from one to the next as a runs about a loop of index one around a value of overstability.
A Fruchard, R Schäfke
openaire +1 more source
Rotationally Invariant Singular Solutions to the Kapustin-Witten Equations [PDF]
, 2015 In the present paper, we find a system of non-linear ODEs that gives rotationally invariant solutions to the Kapustin-Witten equations in 4-dimensional Euclidean space.
Siqi He
semanticscholar +1 more source
Singular standing-ring solutions of nonlinear partial differential equations
, 2009 We present a general framework for constructing singular solutions of nonlinear evolution equations that become singular on a d-dimensional sphere, where d>1. The asymptotic profile and blowup rate of these solutions are the same as those of solutions of
Bricmont +30 more
core +1 more source