update navigation

en/numerics/GJPS.2022.markdown

@@ -0,0 +1,22 @@
+---
+layout: default
+math: true
+lang: en
+subtitle: The influence of nucleus mechanics in modelling adhesion-independent cell migration in structured and confined environments.
+
+---
+
+
+# Paper
+
+See [PDF](/s/numerics/GJPS.2022/current.pdf).
+
+# Movies (Figure 4)
+
+|-|
+|(a)|[movie](/s/numerics/GJPS.2022/Run_no_nuc.mp4)|
+|(b)|[movie](/s/numerics/GJPS.2022/Run_nuc.mp4)|
+|(c)|[movie](/s/numerics/GJPS.2022/Run_nuc_hard.mp4)|
+|(c')|[movie](/s/numerics/GJPS.2022/Run_nuc_hard_high_mu.mp4)|
+|(d)|[movie](/s/numerics/GJPS.2022/Run_nuc_stuck.mp4)|
+{:.bordered.center}

en/numerics/dAJLR.markdown

@@ -0,0 +1,62 @@
+---
+layout: default
+math: true
+lang: en
+subtitle: Curves with modulated stiffness
+---
+
+## Parameters:
+
+|$N$|$L$|$M$|
+|-|
+|$180$|$2\pi$|$0$|
+|-|
+{:.bordered.center}
+
+# 23.03.2022 (loss of convexity for $c_0 \neq 0$)
+
+|$\mu$|$c_0$|$\beta$|result|comment|
+|-|
+|$10^{-1}$|$10^{-1}$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/loss_of_convexity_c0_0.1_mu_0.1.mp4)||
+|$10$|$10^{-1}$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/loss_of_convexity_c0_0.1_mu_10.mp4)||
+|$10^{-1}$|$1 = 2\pi / L$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/loss_of_convexity_c0_1_mu_0.1.mp4)||
+|$10^{-1}$|$4$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/loss_of_convexity_c0_4_mu_0.1.mp4)||
+|$10$|$4$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/loss_of_convexity_c0_4_mu_10.mp4)||
+{:.bordered.center}
+
+
+# 08.02.2022 (focus on convexity)
+
+## Results:
+
+|$\mu$|$c_0$|$\beta$|result|comment|
+|-|
+|$10^{-2}$|$0$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-2.mp4)|cigar via "circle"|
+|$10^{-1}$|$0$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1.mp4)|cigar via "triangle"|
+|$10^{-1}$|$2.5$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=2.5.mp4)|non embedded curve (neg. curv.) at equilibrium|
+|$10^{-1}$|$2.5$|$e^{-0.7\rho}$|[movie](/s/numerics/dAJLR/exponential_e=-0.7_mu=1e-1_c0=2.5.mp4)|embedded curve (neg. curv.) at equilibrium|
+|$10^{-1}$|$1.9$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=1.9.mp4)| $\dot{E}{\rho}$ and $\dot{E}{\theta}$ do not have a sign|
+|$10^{-1}$|$2$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=2.mp4)|"cigar"-like (neg. curve) at equilibrium|
+|$10^{-1}$|$3$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=3.mp4)|non embedded curve (neg. curv.) at equilibrium|
+|$10^{-1}$|$5$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=5_overstep.mp4)|timestep too large?|
+|$10^{-1}$|$10$|$e^{-\rho}$|[movie](/s/numerics/dAJLR/exponential_mu=1e-1_c0=10_clipped.mp4)|clipped|
+{:.bordered.center}
+
+
+# 31.01.2022
+
+## Results:
+
+|$\mu$|$c_0$|$\beta$|$t_{max}$, iter$_{max}$|result|comment|
+|-|
+|$10^{-2}$|$0$|const.||[movie](/s/numerics/dAJLR/beta=1.mp4)|
+|$10^{-2}$|$10$|const.||[movie](/s/numerics/dAJLR/const_c0=10.mp4)
+|$10^{-2}$|$0$|SDW[^1]||[movie](/s/numerics/dAJLR/sym.mp4)|
+|$10^{-2}$|$0.1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=0.1.mp4)
+|$10^{-2}$|$1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=1.mp4)
+|$10^{-2}$|$0$|ADW[^2]||[movie](/s/numerics/dAJLR/asym.mp4)|
+|-|
+{:.bordered.center}
+
+[^1]: ($\beta(x) = 1.01 + (x - 1)^2  (x + 1)^2$))
+[^2]: ($\beta(x) = 1.2 + (x - 1)^2  (x + 1)^2 + x$))

en/numerics/index.markdown

@@ -0,0 +1,11 @@
+---
+layout: default
+math: false
+lang: en
+subtitle: Numerics
+---
+
+- [Curves with modulated stiffness](/numérique/dAJLR)
+- Opinion formation
+  * [12/04/2024](foo)
+  * [23/04/2024](FJMT.2024/)