Testmath - Historial de revisiones

Cadedif: /* 2013 */ indent rossi

2016-04-24T14:17:38Z

2013: indent rossi

← Revisión anterior		Revisión de 14:17 24 abr 2016
Línea 60:		Línea 60:
	* Conferencia Inaugural 2013: '''Julio Rossi''' ((Universidad de Alicante). Decay estimates for nonlinear nonlocal diffusion problems. Martes 5 de noviembre de 2013		* Conferencia Inaugural 2013: '''Julio Rossi''' ((Universidad de Alicante). Decay estimates for nonlinear nonlocal diffusion problems. Martes 5 de noviembre de 2013
	:''Abstract'': We obtain bounds for the decay rate in the <math>L^r</math>-norm for the solutions to a nonlocal and nolinear evolution equation of the form		:''Abstract'': We obtain bounds for the decay rate in the <math>L^r</math>-norm for the solutions to a nonlocal and nolinear evolution equation of the form
-	<math>u_t (x,t) = \int K(x,y) \|u(y,t) - u (x,t)\|^{p-2} (u(y,t) - u (x,t)) dy.</math>	+	: <math>u_t (x,t) = \int K(x,y) \|u(y,t) - u (x,t)\|^{p-2} (u(y,t) - u (x,t)) dy.</math>
	* '''José Antonio Langa''' (Universidad de Sevilla). Dynamical Systems and their attractors under perturbations II Viernes 29 de noviembre.		* '''José Antonio Langa''' (Universidad de Sevilla). Dynamical Systems and their attractors under perturbations II Viernes 29 de noviembre.
	: ''Abstract:''		: ''Abstract:''
Línea 69:		Línea 69:
	:''Abstract'': Recientemente se han obtenido importantes resultados sobre la estabilidad de soluciones del sistema Einstein-Euler y Einstein-Vlasov con constante cosmológica. En la charla presentaremos resultados obtenidos para soluciones homogéneas del sistema Einstein-Vlasov sin constante cosmológica. Motivaremos el interés de modelos cinéticos en cosmología y como los resultados obtenidos pueden ser generalizados.		:''Abstract'': Recientemente se han obtenido importantes resultados sobre la estabilidad de soluciones del sistema Einstein-Euler y Einstein-Vlasov con constante cosmológica. En la charla presentaremos resultados obtenidos para soluciones homogéneas del sistema Einstein-Vlasov sin constante cosmológica. Motivaremos el interés de modelos cinéticos en cosmología y como los resultados obtenidos pueden ser generalizados.
	* '''Pier D. Lamberti''' (University of Padova). Stability for higher order elliptic operators subject to homogeneous boundary conditions on varying domains: Jueves 3 de abril de 2014. Abstract:		* '''Pier D. Lamberti''' (University of Padova). Stability for higher order elliptic operators subject to homogeneous boundary conditions on varying domains: Jueves 3 de abril de 2014. Abstract:
-	:'' Abstract'': We consider elliptic partial differential operators of second and higher order, subject to homogeneous boundary conditions on bounded domains of the N-dimensional Euclidean space. We discuss a general theorem ensuring their spectral stability upon perturbation of the underlying domain, in the frame of the so-called E-compact convergence. Applications to the case of the bi-harmonic operator with Dirichlet, Neumann and Intermediate boundary conditions will be considered.	+	:'' Abstract'': We consider elliptic partial differential operators of second and higher order, subject to homogeneous boundary conditions on bounded domains of the N-dimensional Euclidean space. We discuss a general theorem ensuring their spectral stability upon perturbation of the underlying domain, in the frame of the so-called E-compact convergence. Applications to the case of the bi-harmonic operator with Dirichlet, Neumann and Intermediate boundary conditions will be considered.

	==2014==		==2014==

Cadedif: harras

2016-04-24T14:16:35Z

harras

← Revisión anterior		Revisión de 14:16 24 abr 2016
Línea 75:		Línea 75:
	* '''Eduaro Colorado Heras''' (Universidad Carlos III de Madrid). On the existence of bound and ground states for some coupled nonlinear Schrödinger--Korteweg-de Vries equations: Miércoles 10 de Diciembre.		* '''Eduaro Colorado Heras''' (Universidad Carlos III de Madrid). On the existence of bound and ground states for some coupled nonlinear Schrödinger--Korteweg-de Vries equations: Miércoles 10 de Diciembre.
	; ''Abstract'': Along this talk, will be presented some existence results, among others, for the following two systems of coupled nonlinear Schrödinger (NLS) equations,		; ''Abstract'': Along this talk, will be presented some existence results, among others, for the following two systems of coupled nonlinear Schrödinger (NLS) equations,
-	<math>~~\left\{~~\begin{~~array}{ll~~} & \displaystyle -{\rm i}\, \frac{\partial}{\partial t} E_1- \Delta E_1 = \mu_1 \|E_1\|^2E_1+\beta \|E_2\|^2E_1,\quad x\in \mathbb{R}^n,\quad t>0\\ ~~& <br/>~~ & \displaystyle -{\rm i}\, \frac{\partial}{\partial t} E_2- \Delta E_2 = \mu_2 \|E_2\|^2E_2+\beta \|E_1\|^2E_2,\quad x\in \mathbb{R}^n,\quad t>0, \end{~~array~~}~~\right.~~ </math>	+	<math>
-	~~where <math>E_j=E_j(x,t)\in \mathbb{C},\quad E_j(x,t)\to 0 \mbox{ as~~	+	\begin{cases}
-	~~}\|x\|\to \infty</math> for <math>j=1,2</math>,~~ the coupled parameter	+	&\displaystyle -{\rm i}\, \frac{\partial}{\partial t} E_1- \Delta E_1 = \mu_1
-	<math>\beta\in \mathbb{R}</math>,	+	\|E_1\|^2E_1+\beta \|E_2\|^2E_1,\quad x\in
-	~~<!--~~ <math>	+	\mathbb{R}^n,\quad t>0\\
		+	& \displaystyle -{\rm i}\, \frac{\partial}{\partial t} E_2- \Delta E_2 = \mu_2
		+	\|E_2\|^2E_2+\beta \|E_1\|^2E_2,\quad x\in \mathbb{R}^n,\quad t>0,
		+	\end{cases}
		+	</math>
		+	the coupled parameter
		+	<math>\beta\in \mathbb{R}</math>,
		+
		+	<math>
	\lambda_j>0		\lambda_j>0
	</math> and		</math> and
Línea 85:		Línea 93:
	\mu_j>0		\mu_j>0
	</math> is for self-focusing in the j-th component of the beam. Also we study the following system of coupled NLS-KdV equations,		</math> is for self-focusing in the j-th component of the beam. Also we study the following system of coupled NLS-KdV equations,
-	<math>	+	<!-- <math>
	\left\{\begin{array}{rcl} if_t + f_{xx} -\beta fg+ \|f\|^2f& = & 0,\quad x\in \mathbb{R},\quad t>0<br/> g_t +g_{xxx} +gg_x -\frac 12\beta (\|f\|^2)_x & = & 0,\quad x\in \mathbb{R},\quad t>0, \end{array}\right.		\left\{\begin{array}{rcl} if_t + f_{xx} -\beta fg+ \|f\|^2f& = & 0,\quad x\in \mathbb{R},\quad t>0<br/> g_t +g_{xxx} +gg_x -\frac 12\beta (\|f\|^2)_x & = & 0,\quad x\in \mathbb{R},\quad t>0, \end{array}\right.
-	</math>	+	</math> -->
	where <math>f(x,t)\in \mathbb{C}</math>, <math>g(x,t)\in R </math>, <math>\beta\in \mathbb{R}</math> and <math>\|f\|,\, \|g\|\to 0$ as $\|x\|\to \infty</math>. More precisely, we will show existence of positive bound and ground states for the corresponding stationary systems when one looks for solitary wave solutions of (1) and solitary-traveling wave solutions of (2).		where <math>f(x,t)\in \mathbb{C}</math>, <math>g(x,t)\in R </math>, <math>\beta\in \mathbb{R}</math> and <math>\|f\|,\, \|g\|\to 0$ as $\|x\|\to \infty</math>. More precisely, we will show existence of positive bound and ground states for the corresponding stationary systems when one looks for solitary wave solutions of (1) and solitary-traveling wave solutions of (2).
-	The results presented in this talk are contained in the following papers. ~~-->~~	+	The results presented in this talk are contained in the following papers.

	* '''María López Fernández''' (Gran Sasso Science Institute (GSSI), L'Aquila (Italia). Time-stepping methods for convolution equations arising in wave scattering problems. Martes 26 de Mayo		* '''María López Fernández''' (Gran Sasso Science Institute (GSSI), L'Aquila (Italia). Time-stepping methods for convolution equations arising in wave scattering problems. Martes 26 de Mayo

Cadedif: harras math

2016-04-24T14:05:41Z

harras math

← Revisión anterior		Revisión de 14:05 24 abr 2016
Línea 74:		Línea 74:

	* '''Eduaro Colorado Heras''' (Universidad Carlos III de Madrid). On the existence of bound and ground states for some coupled nonlinear Schrödinger--Korteweg-de Vries equations: Miércoles 10 de Diciembre.		* '''Eduaro Colorado Heras''' (Universidad Carlos III de Madrid). On the existence of bound and ground states for some coupled nonlinear Schrödinger--Korteweg-de Vries equations: Miércoles 10 de Diciembre.
-	~~<!-- :~~ ''Abstract'': Along this talk, will be presented some existence results, among others, for the following two systems of coupled nonlinear Schrödinger (NLS) equations,	+	; ''Abstract'': Along this talk, will be presented some existence results, among others, for the following two systems of coupled nonlinear Schrödinger (NLS) equations,
	<math>\left\{\begin{array}{ll} & \displaystyle -{\rm i}\, \frac{\partial}{\partial t} E_1- \Delta E_1 = \mu_1 \|E_1\|^2E_1+\beta \|E_2\|^2E_1,\quad x\in \mathbb{R}^n,\quad t>0\\ & <br/> & \displaystyle -{\rm i}\, \frac{\partial}{\partial t} E_2- \Delta E_2 = \mu_2 \|E_2\|^2E_2+\beta \|E_1\|^2E_2,\quad x\in \mathbb{R}^n,\quad t>0, \end{array}\right. </math>		<math>\left\{\begin{array}{ll} & \displaystyle -{\rm i}\, \frac{\partial}{\partial t} E_1- \Delta E_1 = \mu_1 \|E_1\|^2E_1+\beta \|E_2\|^2E_1,\quad x\in \mathbb{R}^n,\quad t>0\\ & <br/> & \displaystyle -{\rm i}\, \frac{\partial}{\partial t} E_2- \Delta E_2 = \mu_2 \|E_2\|^2E_2+\beta \|E_1\|^2E_2,\quad x\in \mathbb{R}^n,\quad t>0, \end{array}\right. </math>
	where <math>E_j=E_j(x,t)\in \mathbb{C},\quad E_j(x,t)\to 0 \mbox{ as		where <math>E_j=E_j(x,t)\in \mathbb{C},\quad E_j(x,t)\to 0 \mbox{ as
	}\|x\|\to \infty</math> for <math>j=1,2</math>, the coupled parameter		}\|x\|\to \infty</math> for <math>j=1,2</math>, the coupled parameter
	<math>\beta\in \mathbb{R}</math>,		<math>\beta\in \mathbb{R}</math>,
-	<math>	+	<!-- <math>
	\lambda_j>0		\lambda_j>0
	</math> and		</math> and
Línea 89:		Línea 89:
	</math>		</math>
	where <math>f(x,t)\in \mathbb{C}</math>, <math>g(x,t)\in R </math>, <math>\beta\in \mathbb{R}</math> and <math>\|f\|,\, \|g\|\to 0$ as $\|x\|\to \infty</math>. More precisely, we will show existence of positive bound and ground states for the corresponding stationary systems when one looks for solitary wave solutions of (1) and solitary-traveling wave solutions of (2).		where <math>f(x,t)\in \mathbb{C}</math>, <math>g(x,t)\in R </math>, <math>\beta\in \mathbb{R}</math> and <math>\|f\|,\, \|g\|\to 0$ as $\|x\|\to \infty</math>. More precisely, we will show existence of positive bound and ground states for the corresponding stationary systems when one looks for solitary wave solutions of (1) and solitary-traveling wave solutions of (2).
-	The results presented in this talk are contained in the following papers. -->	+	The results presented in this talk are contained in the following papers. -->

	* '''María López Fernández''' (Gran Sasso Science Institute (GSSI), L'Aquila (Italia). Time-stepping methods for convolution equations arising in wave scattering problems. Martes 26 de Mayo		* '''María López Fernández''' (Gran Sasso Science Institute (GSSI), L'Aquila (Italia). Time-stepping methods for convolution equations arising in wave scattering problems. Martes 26 de Mayo

Cadedif: put here the seminar with all the math stuff

2016-04-24T14:00:38Z

put here the seminar with all the math stuff

Mostrar cambios

Cadedif: inline 2

2016-04-22T19:49:51Z

inline 2

← Revisión anterior		Revisión de 19:49 22 abr 2016
Línea 8:		Línea 8:
	\frac{22}{7}-\pi		\frac{22}{7}-\pi
	</math>		</math>
-	<math>\int</math>	+	this is a test <math>\int</math>

Cadedif: inline

2016-04-22T19:49:06Z

inline

← Revisión anterior		Revisión de 19:49 22 abr 2016
Línea 8:		Línea 8:
	\frac{22}{7}-\pi		\frac{22}{7}-\pi
	</math>		</math>
-	<~~tex~~>\int</~~tex~~>	+	<math>\int</math>

Cadedif: change markup

2016-04-22T19:48:26Z

change markup

← Revisión anterior		Revisión de 19:48 22 abr 2016
Línea 4:		Línea 4:
	<math>\int_{-N}^{N} e^x\, dx</math>		<math>\int_{-N}^{N} e^x\, dx</math>

-	<~~tex~~>	+	<math>
	\displaystyle\int_{0}^{1}\frac{x^{4}\left(1-x\right)^{4}}{1+x^{2}}dx=		\displaystyle\int_{0}^{1}\frac{x^{4}\left(1-x\right)^{4}}{1+x^{2}}dx=
	\frac{22}{7}-\pi		\frac{22}{7}-\pi
-	</~~tex~~>	+	</math>
	<tex>\int</tex>		<tex>\int</tex>

Cadedif en 15:42 7 may 2008

2008-05-07T15:42:56Z

← Revisión anterior		Revisión de 15:42 7 may 2008
Línea 11:		Línea 11:


-	~~This is <ref name= "Hallo" > But this </ref>~~
-	~~<ref name ="test">hello</ref>~~
-	~~<ref name="Popular Science">''Popular Science''. 12, 2005, S. 12.</ref>~~
-	~~<references>~~
-	~~fuu{{ref\|reference_name_A}}~~

-	~~Yammer yammer yammer.<ref name=smith2000>~~Smith wrote the definitive book on yammering.{{ref\|Smith2000\|Smith 2000}}	+	Smith wrote the definitive book on yammering.
-	~~</ref>Yammer yammer yammer.<ref name=smith2000/>~~	+	{{ref\|Smith2000\|Smith 2000}}
-	~~...~~	+
-	~~==References==~~	+
-	~~<References/>~~	+
-	~~...~~	+
	==Bibliography==		==Bibliography==
	*{{note\|Smith2000}}, Smith 2000, "A book about yammering".		*{{note\|Smith2000}}, Smith 2000, "A book about yammering".

Cadedif en 15:41 7 may 2008

2008-05-07T15:41:47Z

← Revisión anterior		Revisión de 15:41 7 may 2008
Línea 16:		Línea 16:
	<references>		<references>
	fuu{{ref\|reference_name_A}}		fuu{{ref\|reference_name_A}}
		+
		+	Yammer yammer yammer.<ref name=smith2000>Smith wrote the definitive book on yammering.{{ref\|Smith2000\|Smith 2000}}
		+	</ref>Yammer yammer yammer.<ref name=smith2000/>
		+	...
		+	==References==
		+	<References/>
		+	...
		+	==Bibliography==
		+	*{{note\|Smith2000}}, Smith 2000, "A book about yammering".

Cadedif en 15:40 7 may 2008

2008-05-07T15:40:42Z

← Revisión anterior		Revisión de 15:40 7 may 2008
Línea 15:		Línea 15:
	<ref name="Popular Science">''Popular Science''. 12, 2005, S. 12.</ref>		<ref name="Popular Science">''Popular Science''. 12, 2005, S. 12.</ref>
	<references>		<references>
		+	fuu{{ref\|reference_name_A}}