Results 221 to 230 of about 217,202 (282)
Multi-Material Droplet-Based Hydrogel Threads for Extrusion 3D Printing. [PDF]
Tillinger D, Armendarez NX, Najem JS.
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Hydroelastic waves induced by initial disturbances in ice-covered waters with currents. [PDF]
Prasad IM, Behera H.
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Direct and Inverse Steady-State Heat Conduction in Materials with Discontinuous Thermal Conductivity: Hybrid Difference/Meshless Monte Carlo Approaches. [PDF]
Milewski S.
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Extending the depth range in energy-dispersive X-ray stress analysis by simultaneous multi-detector data acquisition in equatorial scattering geometry. [PDF]
Genzel C, Apel D, Boin M, Klaus M.
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2009
In Chapter 4 we have discussed the PDEs that control the heat flow in two and three dimensional spaces given by $$ \begin{gathered} u_t= \bar k(u_{xx}+ u_{yy} ), \hfill \\ u_t= \bar k(u_{xx}+ u_{yy}+ u_{zz} ), \hfill \\ \end{gathered} $$ (7.1) respectively, where \( \bar k \) is the thermal diffusivity.
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In Chapter 4 we have discussed the PDEs that control the heat flow in two and three dimensional spaces given by $$ \begin{gathered} u_t= \bar k(u_{xx}+ u_{yy} ), \hfill \\ u_t= \bar k(u_{xx}+ u_{yy}+ u_{zz} ), \hfill \\ \end{gathered} $$ (7.1) respectively, where \( \bar k \) is the thermal diffusivity.
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2000
The partial differential equation which is identified with the name of Pierre Simon Marquis de Laplace (1749–1827) is one of the most important equations in mathematics which has wide applications to a number of topics relevant to mathematical physics and engineering.
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The partial differential equation which is identified with the name of Pierre Simon Marquis de Laplace (1749–1827) is one of the most important equations in mathematics which has wide applications to a number of topics relevant to mathematical physics and engineering.
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1978
The Laplace operator acting on a function u(x) = u(x1,...,x n ) of class C2 in a region Ω is defined by $$\Delta = \sum\limits_{{k = 1}}^{n} {D_{k}^{2}}$$ (1.1) For \(u,\upsilon \in {C^{2}}\left( {\overline \Omega } \right)\) we have (see Chapter 3, (4.8), (4.9)) Green’s identities.
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The Laplace operator acting on a function u(x) = u(x1,...,x n ) of class C2 in a region Ω is defined by $$\Delta = \sum\limits_{{k = 1}}^{n} {D_{k}^{2}}$$ (1.1) For \(u,\upsilon \in {C^{2}}\left( {\overline \Omega } \right)\) we have (see Chapter 3, (4.8), (4.9)) Green’s identities.
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1977
Let Ω be a domain in ℝ n and u a C 2(Ω) function. The Laplacian of u, denoted ⊿u, is defined by $$\Delta u = \sum\limits_{i = 1}^n {{D_u}u = div} Du.$$ (2.1)
David Gilbarg, Neil S. Trudinger
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Let Ω be a domain in ℝ n and u a C 2(Ω) function. The Laplacian of u, denoted ⊿u, is defined by $$\Delta u = \sum\limits_{i = 1}^n {{D_u}u = div} Du.$$ (2.1)
David Gilbarg, Neil S. Trudinger
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