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  1. Maximal turbulence as a selection criterion for measure-valued solutions
    2025/03/26 by Klingenberg, Christian, Markfelder, Simon, Wiedemann, Emil · 1 citation
    #35D99 #35Q31 #76B03 #76F99 (secondary) #76M30 (primary) #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics
  2. Energy-variational structure in evolution equations
    2025/03/14 by Lasarzik, Robert · 1 citation
    #35D99 #35Q35 #35Q74 #35R35 #35R45 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics
  3. Dafermos' principle and Brenier's duality scheme for defocusing dispersive equations
    2025/01/09 by Vorotnikov, Dmitry · 1 citation
    #35D99 #35L90 #37K58 #47A56 #49Q99 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph)
  4. Non-local Hamilton-Jacobi-Bellman equations for the stochastic optimal control of path-dependent piecewise deterministic processes
    2024/08/04 by Bandini, Elena, Keller, Christian · 1 citation
    #35D99 #45K05 #49L20 #90C40 #93E20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
  5. Asymptotic preserving finite volume method for the compressible Euler equations: analysis via dissipative measure-valued solutions
    2024/05/09 by K. R. Arun, Arun, K. R., Amogh Krishnamurthy +3 · 1 citation
    Engineering · Mathematics · #35D99 #35L45 #35L65 #35Q31 #35R06 #65M08 #76M12 #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions #Numerical Analysis (math.NA)
  6. Capturing Shock Waves by Relaxation Neural Networks
    2024/04/01 by Nan Zhou, Zheng Ma, Zhou, Nan +1 · 2 citations
    Computer Science · Engineering · #35D99 #65D15 #68T07 #76L05 #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Seismology and Earthquake Studies #Traffic Prediction and Management Techniques
  7. Existence of energy-variational solutions to hyperbolic conservation laws
    2022/11/22 by Eiter, Thomas, Lasarzik, Robert · 3 citations
    #35A01 #35A15 #35D99 #35L45 #35L65 #35Q31 #76B03 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. Self-improving properties of very weak solutions to double phase systems
    2022/07/16 by Baasandorj, Sumiya, Byun, Sun-Sig, Kim, Wontae · 1 citation
    #35D99 #35J60 #35J70 #Analysis of PDEs (math.AP) #FOS: Mathematics
  9. Finite volume methods for the computation of statistical solutions of the incompressible Euler equations
    2021/09/29 by Parés-Pulido, Carlos · 1 citation
    #35D99 #FOS: Mathematics #G.3 #J.2 #Numerical Analysis (math.NA)
  10. Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion
    2021/09/24 by Klemens Fellner, Fellner, Klemens, Julian Fischer +5 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #35D99 #35K57 (Primary) 35B40 #35Q92 (Secondary) #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth
  11. Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects
    2021/08/02 by Johannes Lankeit, Michael Winkler, Lankeit, Johannes +1 · 1 citation
    Engineering · Mathematics · Medicine · #35D99 #35K57 #35K59 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stability and Controllability of Differential Equations
  12. Multiple scales and singular limits of perfect fluids
    2019/09/16 by Chaudhuri, Nilasis · 1 citation
    #35D99 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary: 76U05 #Secondary: 35Q35
  13. Well-posedness of renormalized solutions for a stochastic p-Laplace\n equation with L1-initial data
    2019/08/29 by Niklas Sapountzoglou, Sapountzoglou, Niklas, Aleksandra Zimmermann +1 · 1 citation
    Computer Science · Economics, Econometrics and Finance · Engineering · #35D99 #35K55 #35R60 #60H15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Stability and Controllability of Differential Equations #Stochastic processes and financial applications
  14. Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems
    2019/05/15 by Vorotnikov, Dmitry · 3 citations
    #35D99 #37K58 #47A56 #49Q22 #76M30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
  15. Inviscid limit for the compressible Euler system with non-local\n interactions
    2016/11/22 by Jan Březina, Václav Mácha, Březina, Jan +1 · 1 citation
    Earth and Planetary Sciences · Mathematics · Medicine · #35D40 #35D99 #35Q31 #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #Dynamical Systems (math.DS) #FOS: Mathematics #Navier-Stokes equation solutions #Trauma, Hemostasis, Coagulopathy, Resuscitation
  16. Cut and conjugate points of the exponential map, with applications
    2014/11/14 by Ardoy, Pablo Angulo · 1 citation
    #35D99 #35F30 #53B40 #53C20 #53C22 #53C60 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
  17. Weak-strong uniqueness for measure-valued solutions
    2009/12/05 by Yann Brenier, Camillo De Lellis, Brenier, Yann +3 · 2 citations
    Engineering · Mathematics · #35D99 #76B03 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
  18. The Cauchy problem for Schr "odinger-type partial differential operators\n with generalized functions in the principal part and as data
    2009/09/30 by Günther Hörmann, Hörmann, Günther · 1 citation
    Mathematics · #35D99 #46F30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis #Probability and Statistical Research #advanced mathematical theories
  19. Law of Large Numbers Limits for Many Server Queues
    2007/08/07 by Haya Kaspi, Kavita Ramanan, Kaspi, Haya +1 · 1 citation
    Business, Management and Accounting · Decision Sciences · Mathematics · #35D99 #60F17 #60H99 #60K25 #90B22 #Advanced Queuing Theory Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR) #Simulation Techniques and Applications #advanced mathematical theories