The motion of the free surface of a liquid

Hans Lindblad

Displaying similar documents to “The motion of the free surface of a liquid”

On the existence of a solution of a two-point boundary value problem in a cylindrical floating zone.

Shi, Yongdong, Du, Liangsheng (2001)

International Journal of Mathematics and Mathematical Sciences

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Transmission problem in thermoelasticity.

Alves, Margareth S., Rivera, Jaime E.Muñoz, Sepúlveda, Mauricio, Villagrán, Octavio Vera (2011)

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A coupled system with integral conditions.

Bougoffa, Lazhar (2004)

Applied Mathematics E-Notes [electronic only]

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On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics.

Aliev, Araz R., Gasymov, Aydin A. (2009)

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On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations.

Kharibegashvili, S. (2005)

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Singular Dirichlet boundary value problems. II: Resonance case

Donal O'Regan (1998)

Czechoslovak Mathematical Journal

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Existence results are established for the resonant problem $y^{''} + λ_{m} a y = f (t, y)$ a.e. on $[0, 1]$ with $y$ satisfying Dirichlet boundary conditions. The problem is singular since $f$ is a Carathéodory function, $a \in L_{l o c}^{1} (0, 1)$ with $a > 0$ a.e. on $[0, 1]$ and $\int_{0}^{1} x (1 - x) a (x) d x < \infty$ .

On a differential inequality for equations of a viscous compressible heat conducting fluid bounded by a free surface

Ewa Zadrzyńska, Wojciech M. Zajączkowski (1995)

Annales Polonici Mathematici

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We derive a global differential inequality for solutions of a free boundary problem for a viscous compressible heat conducting fluid. The inequality is essential in proving the global existence of solutions.

Differential equations at resonance

Donal O'Regan (1995)

Commentationes Mathematicae Universitatis Carolinae

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New existence results are presented for the two point singular “resonant” boundary value problem $\frac{1}{p} {(p y^{'})}^{'} + r y + λ_{m} q y = f (t, y, p y^{'})$ a.eȯn $[0, 1]$ with $y$ satisfying Sturm Liouville or Periodic boundary conditions. Here $λ_{m}$ is the ${(m + 1)}^{s t}$ eigenvalue of $\frac{1}{p q} [{(p u^{'})}^{'} + r p u] + λ u = 0$ a.eȯn $[0, 1]$ with $u$ satisfying Sturm Liouville or Periodic boundary data.